What is an equation of the line that passes through the points (-7, 3) and (5, 3)?

The distance between points (-1, 4) and (5, 4) is 6 units.

From the question, we are to determine the distance between two points.

The given points are (-1, 4) and (5, 4)

Using the formula for calculating the distance between two points

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

From the given information,

x₁ = -1

x₂ = 5

y₁ = 5

y₂ = 4

Put the parameters into the equation

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(5 - (-1))² + (4 - 4)²]

d = √[(5 + 1)² + 0²]

d = √(6²)

d = 6 units

Hence, the distance is 6 units.

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Answer:

Step-by-step explanation: The distance between two points can be calculated using the formula:

d = √ ((x2 – x1)² + (y2 – y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the two points are (-1, 4) and (5, 4). Therefore:

d = √ ((5 - (-1))² + (4 - 4)²)

d = √ (6² + 0²)

d = √36

d = 6

Therefore, the distance between (-1, 4) and (5, 4) is 6 units.

I hope that helps! Let me know if you have any other questions!

The height of the conical tent is 15 metres.

acc toour question-

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Answer:

  1300.2 µL

Step-by-step explanation:

You want to know the volume of a nautilus chamber in 8 years if it is 880 µL in year 0 and increases at 5% per year.

The growth factor is ...

  growth factor = 1 + growth rate

  growth factor = 1 + 0.05 = 1.05

Since the problem statement is about volume, we assume the growth factor applies to the chamber volume. If it applies to the linear dimension of the chamber, then the growth factor for volume will be 1.05³.

The function describing the chamber volume can be written as ...

  volume = (initial volume)(growth factor)^years

In 8 years, the chamber volume will be ...

  volume = (880µL)(1.05^8) ≈ 1300.2 µL

The chamber created in 8 years is expected to be 1300.2 µL.

__

Additional comment

If the 5% growth rate is the rate of growth of the linear dimensions of a chamber, then its volume will grow at the rate of 1.05³ per year. In 8 years, the volume will be about 2838.1 µL.

(The wording "5% larger" is ambiguous here.)

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The slope of the line passing through the point (2,1) and (7,8) is 7/5

What is a slope?

Slope is the inclination of the line with x-axis. measure of how steep a curve or line is. There are various way to calculate the slope of a line. One of the basic way is from coordinates. It is the ratio of difference of y coordinate to the corresponding x- coordinate. it is also known as slope formula

We are given the coordinates as

(2, 1) and (7, 8).

We use the slope formula to find the slope

Slope = (8-1)/(7-2)

Slope = 7/5

Hence the slope of the passing through the given point is 7/5

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Answer:

The range is 9.

Step-by-step explanation:

The range of a data set is the difference between the maximum and the minimum values.

Let's begin by putting the set of values in order from lowest to highest.

12, 14, 15, 16, 17, 17, 21

The lowest value is 12, and the highest value is 21.

Let's subtract the minimum value from the maximum value to determine the range:

21 - 12 = 9

Hope this helps :)

Answer:

Step-by-step explanation:

Put them in order (lowest to highest)

so,

12, 14, 15, 16, 17, 17, 21

to find the range : highest - lowest

21 - 12 which is 9

Thanks

For the given equation, the slope is 3 and the y-intercept is -5. From the graph, it is possible to see that the point (0,0) does not satisfy the equation.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=x+19. A line equation also can be represented by the point-slope form: [tex](y-y_1)=m(x-x_1)[/tex].

m= the slope.

[tex](x_1,y_1)[/tex]= the coordinate of a point.

For the given example: m=1 and b=19.

The question gives: y + 2 = 3(x - 1). Therefore,

y + 2 = 3(x - 1)

y=3x-3-2

y=3x-5

If y=3x-5 . Here, you have a standard form of a linear equation y=mx+b. Where:

m= the slope. It can be calculated for Δy/Δx.

b= the constant term that represents the y-intercept

Thus, the slope is 3 and the y-intercept is -5.

For this, you should do a table with points

x     y= 3x-5

-2   y=3*(-2)-5=-6-5= -11

-1    y=3*(-1)-5=-3-5= -8

0   y=3*(0)-5=0-5= -5

1    y=3*(1)-5=3-5= -2

2    y=3*(2)-5=6-5= 1

Draw a graph from these points, see the attached image.

The point (0,0) does not satisfy the equation because when x=0 because y is different than zero (0). See below.

y= 3x-5, for x=0

y=3*0-5

y=0-5

y=-5

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2(f-25) = 86 is the equation use to find f, the cost of each drill set at full price.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, Ariana purchased two drill set from a sale, each of them costs $25 less than its original price,

If f is the original price, then she must have purchased it at (f-25) and for two sets it's 2(f-25)

She paid $86 for her purchase, so,

2(f-25) =  $86

Hence, 2(f-25) = 86 is the equation use to find f, the cost of each drill set at full price.

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Answer:

x=-6

Step-by-step explanation:

-18x=108

/-18. /-18

x=-6

Hopes this helps please mark brainliest

Divide both sides by −18.

Divide 108 by −18 to get −6.

Answer:

  $1280

Step-by-step explanation:

You want the cost of flooring a cubic 4096 ft³ room at $5 per square foot.

Each dimension (length, width, height) of the room is the edge length of a cube with a volume of 4096 ft³.

  V = s³

  4096 = s³

  ∛4096 = s = 16 . . . . feet

The floor area is the square of the edge length:

  A = s²

  A = (16 ft)² = 256 ft²

At $5 per square foot, the cost of flooring will be ...

  ($5/ft²)(256 ft²) = $1280

The hardwood floors will cost $1280.

Answer:

The result is 2 hours

Hope this helped!

Answer:

it is d

Step-by-step explanation:

Answer: Down Below ↓

Step-by-step explanation: Here's an easy tip for measuring the angles of triangles. Every triangle has a sum (total) of 180 degrees. Take the two angles that are already shown, add them together, then subtract them from 180.

I cannot read the numbers on the paper, so I hope this answer somewhat helps.

Edit: Oh my lord, it's a coloring page too? I remember those, they suck. :')

Answer:

Step-by-step explanation:

 mu = 35,420 sigma = 2,050 n = 256 s...

The equation of the given graph is y = (x + 4)² -5.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

The vertex form of a parabola is y = (x - h)² + k which is opened upward direction and vertex is (h, k).

From the graph, the vertex of the quadratic equation is (-4, -5)

Thus h = -4 and k = -5.

Putting h = -4 and k = -5 in y = (x - h)² + k

y = (x - (-4))² + (-5)

y = (x + 4)² -5

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Answer:

5

Step-by-step explanation:

The equation of the absolute value graph is f(x) = |x - 3| + 5

The graph represents the given parameter

From the graph, we can see that the graph is an absolute value graph

An absolute value graph is represented as

f(x) = a|x - h| + k

Where h and k are the vertex of the graph

In this case, they are

h = 3 and k = 5

This is because the minimum point of the graph is (3, 5)

Substitute values for h and k in the form of the equation

So, we have the following representation

f(x) = a|x - 3| + 5

A point on the graph is (2, 6)

This gives

a|2 - 3| + 5 = 6

When the value of variable a is solved, we have

a = 1

So, the equation becomes

f(x) = 1 * |x - 3| + 5

Evaluate the products

f(x) = |x - 3| + 5

Hence, the equation of the graph is f(x) = |x - 3| + 5

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The required value of ∠ABC in the given triangle is 50°

The relation between interior and exterior angles of the triangle are related as, the sum two interior angles of triangle is equal to the opposite exterior angle of that triangle.

As we see in the given question, the sum of angle ∠A and ∠B is equal to the exterior angle which is 145°

⇒ 2x° + 95° = 145°

⇒ 2x° = 145° - 95°

⇒ 2x = 50°

Thus, required answer of angle ∠ABC is 50°

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Answer:

x=-3

Step-by-step explanation:

we can fill the y into the first equation since we already know what it is equal to

5x+4(1-x)=1

5x+4-4x=1

x+4=1

  -4. -4

x=-3

Hopes this helps please mark brainliest

Answer:

5x + 4y = 1

Answer: x = 1/5 - 4y/5

y = 1 - x

Answer: x = −y + 1

Step-by-step explanation:

Please give the brainliest, really appreciated.

Answer:

the fourth one is the right one

Answer:

not positive or negative

Step-by-step explanation:

It is 0 but i would say it is positive nor negative :)

0, It not really postive or negative

37 + -37 = 0 =

Neither negative nor positive

:/

The 95% confidence interval for the average number of units that students in their college are enrolled in is (11.46,12.53)

We are given the number of students, n =  46, and  the mean of the sample which is x= 12.5, and the standard deviation of the sample which is s= 1.8 , the formula  we are referring to for calculating the confidence interval which is :

x ± t (s/√(n))

since for  this case, the degree of freedom is one less than the mean, which is 45, the critical value for the confidence of 95% with  the degree of freedom of 45 is 2.015

x + t(s/√(n)) = 12.5 +2.015*(1.8/6.78)=  12.53

x - t(s/√(n))= 12.5 -2.015*(1.8/6.78)= 11.46

The interval is (11.46,12.53)

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Answer:

addition?

Step-by-step explanation:

Answer:

  (9, 7)

Step-by-step explanation:

You want the coordinates of the image of point (9, -7) after it has been reflected across the x-axis.

The image point will be as far above the x-axis as the original point is below the x-axis. The y-coordinate of -7 tells you the point is 7 units below the x-axis. The reflected point will be 7 units above the x-axis, so will have a y-coordinate of +7.

The image coordinates are (9, 7).

__

Additional comment

Reflection across the x-axis changes the sign of the y-coordinate.

Reflection across the y-axis changes the sign of the x-coordinate.

The missing parts of the table for the function are 49, 1 and 49 respectively

An exponential function is a type of function which involves exponents. A simple exponential function is of the form y = bˣ

Given:  the exponential function y = (1/7)ˣ

In order to find the missing parts, we have to substitute the relevant values into the function. Thus:

For x = -2:

y = (1/7)ˣ

Substitute x = -2 into the function:

y = (1/7)⁻² = 49

For x = 0:

y = (1/7)ˣ

Substitute x = 0 into the function:

y = (1/7)⁰ = 1

For x = 2:

y = (1/7)ˣ

Substitute x = 2 into the function:

y = (1/7)² = 1/49

The missing part is 49

Therefore, the missing parts of the table are 49, 1 and 49 respectively

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Answer:

20°,70°

Step-by-step explanation:

X+y+90=180

X+y=90

20+y=90

y=70°

2x+180-40=180

2x=40

X=20°

The measures of angles of the triangle is x = 20° and y = 70°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , let the side be represented as BD , which cuts AC at point D

And , the measure of BD = measure of DC ( given )

And , the measure of ∠ABC = 90°

The measure of ∠BDA = 40°

So , the measure of angle ∠BDC = 140° ( angles on a straight line )

Now , the measure of angle ∠DBC = measure of ∠BCD ( given )

So , the measure of x = ( 180 - 140 ) / 2

x = 20°

And , the measure of y = 180° - 40° - 70°

y = 70°

Hence , the angles of triangle are x = 20° and y = 70°

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The highest common factor (HCF) for the expression 4x³yz"; 30x²y²z² and 36x³y²z³ is 2x²yz.

The H.C.F. defines the highest common factor present in between given two or more numbers or mathematical expression.

We shall derive the HCF of the three expressions by expressing them as multiples of their factors as follows;

4x³yz = 2 × 2 × x × x × x × y × z

30x²y²z² = 2 × 3 × 5 × x × x × y × z × z

36x³y²z³ = 2 × 2 × 3 × 3 × x × x × x × y × y × z × z × z

HCF = 2 × x × x × y × z

HCF = 2x²yz

Therefore, the highest common factor for the expressions 4x³yz"; 30x²y²z² and 36x³y²z³ with the understanding of HCF is 2x²yz.

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The correct answer is (A) I and IV. The first and fourth quantities are discrete.

What is discrete quantity?

A discrete quantity has a limited range of possible values. For instance, the number of students in a classroom is a discrete quantity because the range of possible values is not continuous and can only be a positive integer.

It can only have certain values, not just any value, according to the definition of discrete. One discrete quantity is the number of sheep in a field.

Consider, the first statement

"The number of students who passed the English test".

In this quantity a certain value is considered.

Hence this quantity is discrete.

In second and third statement there is no certain quantity is considered.

Hence, these quantities are not discrete quantities.

Also in the last statement there is come quantity of pages is considered.

Hence, this quantity is discrete quantity.

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Answer:

25

Step-by-step explanation:

the equation is a^2+b^2=c^2

7^2=49

24^2=576

49+576=625

the square root of 625 is 25