determine where the absolute extrema of f(x)=4xx2 1 on the interval [−4,0] occur.

Answers

Answer 1

The absolute maximum and minimum of f(x) = [tex]\frac{4x}{x^2+1}[/tex] on the interval [−4,0] are at x = 0 and -1, respectively.

The function is f(x) = [tex]\frac{4x}{x^2+1}[/tex] .

The interval is [−4,0].

To find the value of x we differentiate the function using the u/v formula.

[tex]\frac{d}{dx}\frac{u}{v}=\frac{v\frac{du}{dx}-u\frac{dv}{dx}}{v^2}[/tex]

According to formula

f'(x) = [tex]\frac{(x^2+1)\frac{d}{dx}4x-4x\frac{d}{dx}(x^2+1)}{(x^2+1)^2}[/tex]

f'(x) = [tex]\frac{4(x^2+1)-4x(2x)}{(x^2+1)^2}[/tex]

f'(x) = [tex]\frac{4(x^2+1)-8x^2}{(x^2+1)^2}[/tex]

To determine the value of x equating f'(x) = 0

[tex]\frac{4(x^2+1)-8x^2}{(x^2+1)^2}[/tex] = 0

4(x^2 + 1) - 8x^2 = 0

4x^2 + 4 - 8x^2 = 0

4 - 4x^2 = 0

Add 4x^2 on both side, we get

4x^2 = 4

Divide by 4 on both side, we get

x^2 = 1

Taking square root on both side, we get

x = -1, 1

The value of x = 1 doesn't lie between the interval [-4, 0]. So we cannot consider 1.

Now evaluating the value of f(x) at -4,-1,0.

At x= -4, f(x) = -16/17

At x = -1, f(x) = -2

At x = 0, f(x) = 0

Therefore, the absolute maximum and minimum are at x = 0 and -1, respectively.

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The complete question is:

Determine where the absolute extrema of f(x) = [tex]\frac{4x}{x^2+1}[/tex] on the interval [−4,0] occur.


Related Questions

Finn owe hi mom $77. He cook meal and get paid $5 per meal. Which linear equation could Finn ue to determine y, the total amount of money that he ha after cooking x amount of meal

Answers

The linear equation for this scenario could be: y = 5x + 77, where y represents the total amount of money Finn has after cooking x number of meals and 77 is the initial amount owed to his mom.

A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

Ax+By=C is the typical form for linear equations in two variables. 2x+3y=5, for example, is a simple linear equation. It is rather simple to get both intercepts when an equation is stated in this way (x and y).

As per the data given,

The total amount Finn has = $ 77.

Amount spent on meal = $5 per meal.

Total number of meal = x

So, the amount spent on taking x meal will be = 5*x = 5x

Hence, the required linear equation will be: y = 5x + 77

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2. True or false: f(x) is a function.

Answers

Answer:

True

Step-by-step explanation:

the function is y = x/5

The function f(x) = log, i tranformed to g(x) = -3 log(x 2) - 1. Decribe the tranformation. Thi i pre calculu btw

Answers

The Transformation of the function f(x) = log₅(x) to g(x) = 3 - log₅(x) is a vertical reflection followed by a vertical translation.

(i) The original function f(x) = log₅(x) is first reflected over the x-axis, which changes the sign of the function. The result is a graph that is upside-down compared to the original. the function becomes -log₅(x)  .

(ii) Next, the transformed function g(x) is shifted up by 3 units, which results in the vertical translation of the graph. This transformation changes the range of the original function, but the shape of the graph remains unchanged.

So , the function becomes g(x) = 3 - log₅(x).

Therefore , The transformation of f(x) to g(x) changes the orientation of the graph and shifts it vertically, but does not affect its shape.

The given question is incomplete , the complete question is

The function f(x) = log₅(x) , is transformed to g(x) = 3 - log₅(x).

Describe the transformation.

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If lim fx) 5, must f be defined at x 1? If it is, must f1) 5? Can anything be concluded about the values of fat x 1? Explain. X-1 Must f be defined at x- 1? YesNo

Answers

No conclusion can be drawn with the given information regarding function.

No conclusion can be drawn about whether f is defined at x=1 or whether f(1)=5 based solely on the statement "lim f(x) = 5." The limit of a function only describes the behavior of the function near a particular value, not necessarily the value of the function at that point.

It is possible for a function to have a limit at a point without being defined at that point, or for a function to be defined at a point but have a different value there than its limit.

Hence, no conclusion.

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a soccer ball is kicked at an angle of 61° to the horizontal with an initial speed of 25 m/s. assume for the moment that we can neglect air resistance. (a) for how much time is the ball in the air?

Answers

A soccer ball in the air for time 4.929 seconds.

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory

The vertical position of a projectile launched from the ground with velocity  v and angle  θ  is:

y(t)=−4.9t^2+(vsinθ)t

We can factor this as:

y(t)=t(−4.9t+vsinθ)

Now we know that  t=0  is one root, when you first kick it, so we only need to solve for the other root

−4.9t+vsinθ=0

t=vsinθ/4.9

Plugging in what we have:

t=25sin61/4.9

t = 25 *0.96611777 /4.9

t≈4.929 sec

So about  4.929 seconds.

A soccer ball in the air for time 4.929 seconds.

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the numerator of a fraction is 1 less than the denominator. if the numerator and the denominator are both increased by 4, the new fraction will be 1/8 more than the original fraction. find the original fraction.

Answers

Using fractions subtraction, we know that the original fraction in the given situation is -7/8.

What are fractions?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole.

A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Proper fractions, improper fractions, mixed fractions, like fractions, unit fractions, equivalent fractions, and same numerator fractions are the seven different types of fractions.

So, we have the fraction:
1/8

Now, the original fraction would be:

1/8 - 4/4

1-8/8

-7/8

Therefore, using fractions subtraction, we know that the original fraction in the given situation is -7/8.


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The um of Lia' age and myra age i 40. In 10 year lia will be three time a older than myra. How old i each peron

Answers

The present age of Lia is 35 and the present age of Myra is 5.

The sum of Lia's age and Myra's age is 40.

Let the present age of Myra is x and the present age of Lia is y.

So the equation should be

x + y = 40..................(1)

After 10 year the age of Myra is x + 10 and age of Lia is y + 10.

In 10 year Lia will be three time a older than Myra.

y + 10 = 3(x + 10)

Simplify

y + 10 = 3x + 30

Subtract 10 on both side, we get

y = 3x + 20

Now putting the value of y in the equation 1.

x + 3x + 20 = 40

4x + 20 = 40

Subtract 20 on both side, we get

4x = 20

Divide by 4 on both side, we get

x = 5

The present age of Myra is 5.

Now putting the value of x in equation 1

x + y = 40

5 + y = 40

Subtract 5 on both side, we get

y = 35

The present age of Lia is 35.

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The complete question is:

The sum of Lia's age and Myra's age is 40. In 10 year Lia will be three time a older than Myra. How old is each person?

to find ln3, a linear approximation to the function y=lnx and x=e is used. what is the result?

Answers

Logarithm ln3 is approximately 1.682.

Logarithm, the exponent or power to which a base must be raised in order to produce a specific number.

The linear approximation of the natural logarithm function near x=e is given by y ≈ ln(e) + (y'(e))(x-e), where y'(e) is the derivative of the logarithm function at x=e.

Since ln'(x) = 1/x, we have y'(e) = 1/e.

Substituting x=3 and e=2.71828... into the approximation, we get:

ln(3) ≈ ln(e) + (1/e)(3-e) = ln(e) + (3-e)/e

ln(e) = 1, so the result is:

ln(3) ≈ 1 + (3-e)/e ≈ 1 + 0.682 ≈ 1.682.

Hence, ln3 = 1.682.

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in the figure two parallel lines AB and CD are intersected by transversal EF at G and H if AGH is x and EGB is y and GHD is 60 find the value of x and y.​

Answers

∠AGH = ∠GHD = 60° (alternating angles)

∠EGB = ∠AGH = 60° (Vertically Opposite Angles)

What are Parallel Line ?

Coplanar infinite straight lines that are parallel have no points of intersection. In the same three-dimensional space, parallel planes are any planes that never cross. Curves that are parallel to one another and maintain a predetermined minimum distance do not touch or intersect.

Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal.

According to the alternative angle theorem, when a transversal cuts two parallel lines, the resulting alternate interior angles or alternate exterior angles are congruent. To demonstrate: If a transversal cuts two parallel lines, then the opposing interior angles are equal.

It is given that AB and CD are parallel to each other

EF is the transversal

∠GHD = 60°

∠AGH = ∠GHD = 60°(alternating angles)

∠EGB = ∠AGH = 60° (Vertically Opposite Angles)

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what is the unsigned decimal equivalent (with 5 digits after the decimal point, truncated, e.g., 12.34567) of the following unsigned base 7 value? 1101.011

Answers

The decimal equivalent of 1101.011 in base 7 is 343.14300.

The decimal system is a base 10 numbering system that is widely used in everyday life.

To convert 1101.011 from base 7 to decimal, we need to start by converting the whole number portion of the value. 1101 in base 7 is equivalent to

=> 1 x 7³ + 1 x 7² + 0 x 7¹ + 1 x 7⁰ = 343

Next, we need to convert the fractional portion of the value. The fraction 0.011 in base 7 is equivalent to

=> 0 x 7⁻¹ + 1 x 7⁻² + 1 x 7⁻³ = 0.143

Finally, we add the decimal equivalent of the whole number portion and the fractional portion to find the decimal equivalent of 1101.011 in base 7.

=> 343 + 0.143 = 343.143,

which is the decimal equivalent of 1101.011 in base 7.

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I can’t find the answer

Answers

Answer is B. 8

Step by step

X + 4 = 12
Subtract 4 from both sides to solve for x

X +4 -4 = 12 - 4
Simplify

X = 8

to check your work, substitute your value of x = 8 into your original equation

(8) + 4 = 12

12 = 12 so your solution is correct

In Exercises 13, an initial-value problem is given. (a) Find a formula for the solution (b) State the domain of definition of the solution. (c) Describe what happens to the solution as it approachs the limits of its domain of definition. Why can't the solution be extended for more time? dy/dt=y^3 , y(0)=1

Answers

As per the initial-value problem, the formula for the solution is dy/dt = y³

An initial-value problem, which involves finding a formula for a solution based on an initial value and a differential equation.

In this specific problem, the differential equation is

=> dy/dt = y³

and the initial value is

=> y(0) = 1.

To solve for the formula, we will use mathematical techniques to find the solution for y based on the given conditions.

The domain of the definition of the solution refers to the set of all possible values for the independent variable (t in this case) for which the solution is valid. In this problem, the domain of the solution is determined by the conditions that ensure the solution is well-defined.

As the solution approaches the limits of its domain, certain properties of the solution may change.

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josh had to do the dishes after work. he washed 1 small plate and 4 large plates. how many plates did he wash in total?

Answers

Josh washed a total of 5 plates if he want to do the dishes after work.

Dish Washing Total Count

To find the total number of plates washed by Josh:

Start with the number of small plates, which is 1.Add the number of large plates, which is 4.The total number of plates is 1 + 4 = 5.

The scenario describes a person named Josh who had to wash dishes after work.

The method used to find the total number of plates washed by Josh was simple addition. The number of small plates (1) and the number of large plates (4) were added together to find the total number of plates (1 + 4 = 5). This type of problem is usually taught in grade 1 or grade 2, as part of early mathematics education that focuses on basic addition and counting skills.

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if anyone could explain how to divide radical expressions like example: √15xy÷∛10xy³=? need help asappp

Answers

The required simplified solution of the given radical expression is  [tex]\sqrt{15} \times x^{1/6} / \sqrt[3]{10} \times y[/tex].

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given a radical expression,
[tex]= \sqrt{15xy} / \sqrt[3]{10xy^3}[/tex]

Now, [tex]\sqrt{15xy} = [15xy]^{1/2}[/tex] and [tex]\sqrt[3]{10xy^3} = [10xy^3]^{1/3}[/tex]
[tex]= [15xy]^{1/2}/ [10xy^3]^{1/3}\\[/tex]

After simplifying the above expression,
= [tex]\sqrt{15} \times x^{1/6} / \sqrt[3]{10} \times y[/tex]

Thus, the required simplified solution of the given radical expression is  [tex]\sqrt{15} \times x^{1/6} / \sqrt[3]{10} \times y[/tex].

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Katya measured the growth of a plant seedling. The seedling grew 1/3 inch by the end of the end of the first week and another 5/6 inch by the second week. About how much did the seedling grow in the first 2 weeks

Answers

Answer:

1 and 1/6

Step-by-step explanation:

You have to add together the growth of the 2 weeks. So, 1/3 + 5/6 but to add these you need to find the common denominator. I would change 1/3 to have a denominator of 6. To turn 3 into 6 you have to multiply by 2 and whatever you do to the bottom you do to the top so 1 x 2. Now that your fraction of 1/3 is 2/6, you can add the 2 weeks together. 2/6 + 5/6 = 7/6, which can also be written as 1 and 1/6.

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The correct representations of the inequality –3(2x – 5) < 5(2 – x) are  –6x + 15 < 10 – 5x  and an open circle is at 5 and a bold line that starts at 5 and is pointing to the right which is denoted as option C and D.

What is Inequality?

This is referred to as a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Workings:

-3(2x-5)<5(2-x)

-3(2x-5)<5(2-x)

-6x+15<10-5x --- C

Subtract 15 from both the sides of the inequality

-6x + 15 -15 < 10 -5x -15

-6x < -5 -5x

-6x +5x < -5

-x < -5

Multiply both sides by (-1) ,

x > 5 .

x> 5 on the number line depicts an open circle is at 5 and a bold line starts at 5 and is pointing to the right .

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The full question is:

Which are correct representations of the inequality -3(2x - 5) < 5(2 - x)? Select two options.

(a) x < 5

(b) –6x – 5 < 10 – x

(c) –6x + 15 < 10 – 5x

(d) A number line from negative 3 to 7 in increments of 1 , An open circle is at 5 and a bold line that starts at 5 and is pointing to the right.

(e) A number line from negative 7 to 3 in increments of 1,  An open circle is at negative 5 and a bold line that starts at negative 5 and is pointing to the left.

Draw a triangle ABC if BC = 8 cm, ∠B = 60°and ∠C = 70°

Answers

Answer:

If angle B is 60 and angle C is 70, We can make an equation by:

180 - (60+70)

The answer for this equation will be 50.

According to the upper equation, angle A is 50, angle B is 60, and angle C is 70.

a rectangle has perimeter 74 inches, and its area is 322 square-inches. find the dimensions of this rectangle.

Answers

the dimensions of rectangle is  l = 23 and w = 14

Rectangle

Given,

A rectangle has perimeter 74 inches, and its area is 322 square-inches

To find the dimensions of this rectangle.

Steps:

With this question it is known that the perimeter of the rectangle is 74 inches and the area is 322 inches. the question is what is the length and width of the rectangle.

The formula for the perimeter of a square is P = l + l + w + w or P= 2(l + w) and the formula for the area of a rectangle is A = l x w.

the formula for the perimeter of a rectangle is P= 2(l + w) that means w=l(p/2-l) and the formula for the area of a rectangle is A = l x w, usually l is longer than w

insert the w equation with the perimeter formula into the area formula A = l (p/2-l) to

solve this equation:    [tex]l\\^{2}[/tex] - ([tex]\frac{P}{2}[/tex]) x l + A=0 to get l

 [tex]l\\^{2}[/tex] - (74/2) l +322=0

 [tex]l\\^{2}[/tex] - 37l + 322=0

(l-23)(l-14)=0 so

l =23 and l=14,

it can be concluded that l = 23 and w = 14

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determine the amount of fence needed to enclose a rectangular garden with length 14 feet and width 31 feet.

Answers

The amount of fence needed to enclose a rectangular garden is 90 feet.

To determine the amount of fence needed to enclose a rectangular garden with length 14 feet and width 31 feet, you need to calculate the perimeter of the rectangle. The perimeter is the total length of all four sides of the rectangle.

The formula for the perimeter of a rectangle is given by

2 * (length + width)

In this case, the length is 14 feet and the width is 31 feet, so the perimeter is

2 * (14 + 31) = 2 * 45 = 90 feet

This means that 90 feet of fence is needed to enclose the rectangular garden.

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in an experiment, a ball is drawn from an urn containing 9 green balls and 11 orange balls. if the ball is green, three coins are tossed. otherwise two coins are tossed. how many elements of the sample space will have a green ball?

Answers

There are 13 elements of the sample space that will have a green ball.

The various ways in which objects from a set may be selected, generally without replacement, to form subsets.

Since, when a green ball is drawn, three coins are tossed. So, sample points are  OHHH, OHHT, OHTH, and OHTT. OTHH, 0THT, OTTH, OTTT

So, clearly, 9 sample points will have an orange ball.

When a blue ball is drawn, two coins are tossed. So, sample points are BHH, BHT, BTH, and BTT.

So, clearly, 4 sample points will be when a blue ball is drawn.

Total samples points=4+9=13

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has been hired to build a wooden fence. He plans to use a post hole digger to o the holes for the posts. Because of the type of soil, Levi only starts the holes, fills them with water, and then plans to return the next day to finish the job. When Levi begins the next day, each hole is 3 inches deep. Each time he uses the post hole digger, he removes 2 inches of soils​

Answers

Number of Excavation                                  Height of Soils(inches)

0                                                                       3 ins

1                                                                        5 ins

5                                                                       13 ins

10                                                                      23 ins

What are Word Problems ?

A word problem is a type of mathematics exercise where the majority of the issue's context is supplied in spoken language as opposed to mathematical notation.

A math word problem is a question that is phrased as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world."

In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

It is already noted that when Levi starts digging the hole is already 3 inches dip with soil

In each excavation he digs 2 inches of soil each

So, when number of Excavation is :

Zero :  the inches of soil is 3 inches

One : the inches of soil is 3+2 = 5 inches

Five : the inches of soil is 3+2*5 = 13 inches

Ten :the inches of soil is 3 + 2*10 = 23 inches

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can any board of size 6 n × 6 n be tiled with trominoes so that no two overlap and all squares are covered?

Answers

The 6n × 6n board can be tiled with trominoes if n is even.

A tromino is a geometric shape made up of three squares, and a 6n × 6n board is a grid of squares with 6n rows and 6n columns.

The question is whether it is possible to tile a 6n × 6n board with trominoes so that no two overlap and all squares are covered.

In order for a 6n × 6n board to be tiled with trominoes, n must be an even number. This is because each tromino covers three squares and there must be a whole number of trominoes to cover the entire board. If n is even, the board can be tiled with trominoes.

To do so, the board is divided into 2n rows of 3 squares each and 2n columns of 3 squares each. A tromino is placed in each of the resulting 3 × 3 squares, covering all of the squares in the board.

Each tromino covers three squares and the board can be divided into a grid of 3 × 3 squares that can each be filled with a tromino.

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Given right triangle XYZ, with altitude
WZ, find each length.
a. If XW = 3 and WY= 12, determine
WZ.
b. If WZ=4 and XW= 2, determine
WY.
c. If XY = 22 and XW = 9, determine
WZ.
d. If XZ = 10 and XW = 4, determine XY.
e. If WZ 18 and XW = 9, determine XZ.
=
f. If WZ = 4, XW = x, and XY = 10, determine ZY.

Answers

Answer:

c.

the length of WZ is

[tex] \sqrt[3]{13} [/tex]

The apothem of a regular hexagon is 8. The area is 144. What is the length of a side of the regular hexagon?

Answers

Answer:

The answer is 18.

Step-by-step explanation:

You need to divide 144 by 8 to end up with 18.

please help. me i really need ot get this righttt

Answers

By taking a quotient we will see that he has saved $450.

How much will he have saved across these two months?

On the first month Lance earnesd $546, and on the second month he earned $354.

Adding these we get:

$546 + $354 = $900

So he earned a total of 900 dollars between April and June. And we know that he saves half of that, then the amount saved is equal to that divided by 2:

$90/2 = $450

He has saved 450 dollars.

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On making an horizontal slice through the solid, the following two-dimensional shape is produced. Select the solid that will yield this shape.


A. Rectangular prism
B. Pentagonal prism
C. Square prism
D. Trapezium prism
E. Hexagonal prism

Answers

If the two-dimensional shape produced by a horizontal slice through the solid is a trapezium, the solid is likely to be a trapezium prism. The correct answer would be an option (D).

When you make a horizontal slice through a solid, it cuts through the object along a plane and the shape that is produced is the cross-section of that plane.

A rectangular prism will produce a rectangle.

A pentagonal prism will produce a pentagon.

A square prism will produce a square.

A trapezium prism will produce a trapezium.

A hexagonal prism will produce a hexagon.

Therefore, if the two-dimensional shape produced by a horizontal slice through the solid is a trapezium, the solid is likely to be a trapezium prism.

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five-sixths of a kilofram of mixed nuts costs 60 cents. how much does half a kilogram of mixednuts cost

Answers

Half a kilogram of mixed nuts costs 36 cents.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Five-sixths of a kilogram costs 60 cents.

That means,

1 kilogram of mixed nuts costs = 60 x 6/5 = 72 cents.

So,

half a kilogram of mixed nuts costs = 72/2 = 36 cents.

Therefore, the required cost is 36 cents.

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What is the 30 60 90 Triangle rule?

Answers

Step-by-step explanation:

this means a triangle with one angle 30°, a second angle 60°, and the third angle 90°.

the sides of such a 30-60-90 triangle are always in the ratio of 1 : √3 : 2

that means the Hypotenuse is twice the length of the shorter leg. and the longer leg is square root of 3 times longer than the shorter leg.

30-60-90 Theorem: If a triangle has sides in the ratio x: x 3: 2 x and angles of 30, 60, and, then it is a triangle. The longer leg, the hypotenuse, and the shorter leg are always the same. The Pythagorean Theorem can be used in their place if you ever forget these theorems.

What is a 30-60-90 Triangle?There are always angles of 30, 60, and 90 in this triangle. This triangle is a right triangle because one of the angles is 90 degrees. The result is a right-angled triangle formed by these angles. Acute angles will have a ratio of 1: 2 or 2: 1, and the right angle is equal to the sum of two acute angles.

Triangle with sides of 30-60-90

It is a special triangle with specified lengths and angles, as was previously stated. The sides of triangles with 30 sides, 60 sides, and 90 sides are therefore referred to as Pythagorean triples.

Sides of a triangle with angles of 30–60–90:

Since 30 degrees is the lowest angle, the side that is perpendicular to it is always the shortest.Since 60 degrees is the mid-sized degree angle in this triangle, the side opposite will be of medium length.Due to the fact that 90 degrees is the biggest angle, the side opposite of that angle will always be the largest. The term "hypotenuse" refers to this side of a triangle.

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Bookwork code: M47
to task
Give your answer in the form y = mx + c, where m and c are integers or
fractions in their simplest forms.
5432
2-
1-
=52
-8-7-6-5-4-3-2-1.01
B2
+2+
-3-
-4-
--5-
Calculator
not allowed
2 3 4 5 6 7 8
Watch video
Line A
I
A

Answers

The linear equation of line will be y=4/7x-6/7.

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

From graph take two point on line

(x1,y1),(x2,y2)=(5,2)(-2,-2)

As standard equation of a line is y=mx+c

where m=slope and c=constant

m=(y2-y1)/(x2-x1)

m=(-2-2)/(-2-5)=4/7

then equation of line will be

y-y1=4/7(x-x1)

y-2=4/7(x-5)

y=4/7x-20/7

Hence,

           The linear equation of line will be y=4/7x-6/7 in form of y=mx+c.

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what is volume of the figure in cubic feet? A. 136 cubic feet B. 6,144 cubic feet C. 9,600 cubic feet D. 11,520 cubic feet​

Answers

The box should have inches for its length, width, and height. 2. Divide the result of multiplying the length, breadth, and height by 1,728. In cubic feet, this represents the container's volume.

How do you figure out volume in cubic feet?

As such, it is listed here for documents that can simply be destroyed.

1 cubic foot equals a WPS Records Retention box.1 cubic foot equals 1 drawer in a typical filing cabinet.Box of copy paper (10 ream box) equals one cubic foot.5 Reams of Copy Paper =.5 Cubic Feet

The instructions below can be used to calculate a container's cubic foot volume.

Determine the box's inches-long dimensions for width, height, and depth.Divide the result of multiplying the length, breadth, and height by 1,728.

In cubic feet, this represents the container's volume.

A case in point

18"L x 11.5"W x 9"H = 1,863 cubic inches

1,863/1,728 equals 1.078 cubic feet.

The aforementioned container has a volume of 1.1 cubic feet (round to the nearest tenth).

The Complete Question.

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