What is the slope of a line that is perpendicular to the line shown on the graph?

What Is The Slope Of A Line That Is Perpendicular To The Line Shown On The Graph?

Answers

Answer 1

Answer:

the 4th answer : 4

Step-by-step explanation:

the easiest way to see the slope is focusing on the points with integer coordinates.

so, we see that when x increases by 4 units, y decreases by 1 unit.

as the slope is the ratio "y coordinate change / x coordinate change", it is therefore -1/+4 = -1/4.

the perpendicular slope is turning the original slope upside-down and flips the sign.

it is therefore

4/1 = 4.


Related Questions

Flourine-20 has a half-life of 11 seconds. This can be modeled by the function
f(x)=a(12) t where t is the number of half-lives and a is the original amount in grams. If there is a 40 gram sample, how many grams will be left after 44 seconds?
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Answers

The function given is incorrect
f(t) = a x 2^-t. Where a is the original quantity and t is the number of half-lives
f(4) = 40 x 2^-4 = 2.5 grams

Start with 40g
After 11 seconds you have 40/2 = 20g
After 22 seconds you have 10g
After 33 seconds you have 5g
After 44 seconds you have 2.5g

By using parallel line postulate, find the value of X
7x-4
45

Answers

Answer:

c)7

Step-by-step explanation:

the two angles with the numbers by their side are equivalent

so you have to solve the equation 7x - 4 = 45

by summing 4 to both sides of the equation you have 7x = 49

by dividing both sides by 7 you have x = 7

which is the result

The length of the rectangular poster is 5 more inches than it’s width. The area of the poster is 72 square inches. Solve for the dimensions (length and width) of the poster.

Answers

Answer:

so, the width of the poster is 8.185 inches  [rounded]  /   √67 inches

and the length of the poster is 13.185 inches [rounded]  / √67 + 5 inches

Step-by-step explanation:

( area can be found with the formula l × w [length × width]  )

I will call the width "x"

w  ·  l  = 72

x  ·  x + 5 = 72

          - 5    - 5

x · x = 67

x² =  67

√x²  =  √67

x ≈ 8.185

(x = √67)

so, by adding 5 inches, we get that

x + 5

8.185 + 5     [√67 + 5]

length = 13.185

so, the width of the poster is 8.185 inches  [rounded]  /   √67 inches

and the length of the poster is 13.185 inches [rounded]  / √67 + 5 inches

help- and also show the work please-

Answers

A fraction is a way to describe a part of a whole.  The correct option is C.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A proper fraction is a fraction whose numerator is smaller than the denominator. When a proper fraction is raised to a positive exponent greater than 1, then the product decreases but does not reach 0.

Hence, the correct option is C.

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Which criteria must be true to conclude that ABCD is a parallelogram?

AB¯¯¯¯¯≅DC¯¯¯¯¯ and AC¯¯¯¯¯≅BD¯¯¯¯¯

AB¯¯¯¯¯≅DC¯¯¯¯¯

AC¯¯¯¯¯≅BD¯¯¯¯¯

AB¯¯¯¯¯≅DC¯¯¯¯¯ and AD¯¯¯¯¯≅BC¯¯¯¯¯

Answers

Answer:

AB¯¯¯¯¯≅DC¯¯¯¯¯ and AD¯¯¯¯¯≅BC¯¯¯¯¯

Explanation:

We know that the opposite sides of a parallelogram must be parrallel (and therefore the same length), so concluding that ABCD is a parallelogram based on AB¯¯¯¯¯≅DC¯¯¯¯¯ or AC¯¯¯¯¯≅BD¯¯¯¯¯ alone is not enough. That leaves us with two options left

1) AB¯¯¯¯¯≅DC¯¯¯¯¯ and AC¯¯¯¯¯≅BD¯¯¯¯¯

2) AB¯¯¯¯¯≅DC¯¯¯¯¯ and AD¯¯¯¯¯≅BC¯¯¯¯¯

Additionally, we can cancel out the first option as well. The AC¯¯¯¯¯≅BD¯¯¯¯¯ portion of the statement implies that the parallelogram would be a rectangle. And while we know that rectangles are parallelograms, not all parallelograms are rectangles. Option 1 is too restricting, and therefore our answer is AB¯¯¯¯¯≅DC¯¯¯¯¯ and AD¯¯¯¯¯≅BC¯¯¯¯¯.

Answer:

AB ≅ DC and AD ≅ BC

Step-by-step explanation:

Given :

AB and DC are two opposite sides of the quadrilateral.

AD and BC are two opposite sides of the quadrilateral.

we have learnt, that a quadrilateral is a parallelogram if the opposite pairs of sides are congruent .

Then

The criteria AB ≅ DC and AD ≅ BC ,allow us to conclude that ABCD is a parallelogram.

Add parentheses so that the value of the expression below will be -1.
-6+4x3/4+1/2

Answers

Answer:

See below

Step-by-step explanation:

-6 + 4 x ( 3/4 + 1/2)  = -1

Plot the values on a graph​

Answers

Answer and Step-by-step explanation:

When plotting points on a graph, you need to first find the x value along the horizontal x-axis, and then find the y value along the vertical y-axis.

So, your process for plotting points could be similar to the following:

find x, move up/down from the x value to find the y-value, and plot a point.

The first number in parentheses when plotting a point is the x value, the second number [following a comma] is the y value

(x , y)

The numbers of x are increasing going towards the right [of the y-axis]

The numbers of x are decreasing towards the left [of the y-axis]

The very middle point, where the two axes meet, is called the origin, and its location is (0, 0)

The numbers of y are increasing going up [from the x-axis]

The numbers of y are decreasing going down [from the x-axis]

Each tick in a graph is representing what x or y value that part of the graph is.

(I have attached an image of this graph plotted)

Hope this helps!!

Solve -4< 3x+2 ≤ 5.
OA. x>-2 and x≤ 1
B. x> 2 and x≤2
C. x> 2 or x≤ 1
OD. x>-2 or x≤1

Answers

Step-by-step explanation:

please mark me as brainlest

What is the value of x?

Answers

Answer:

D.11.1

Step-by-step explanation:

first, let's use the SOHCAHTOA strategy. for people that don't know, it means:

Sine(angle)= side Opposite to the angle/Hypotenuse (SOH)

Cosine(angle)= side Adjacent to the angle/Hypotenuse (CAH)

Tangent(angle)= side Opposite to the angle/side Adjacent to the angle (TOA)

now, since the question describes both the hypotenuse and the side opposite to the angle, we will use Sine to find the length, according to the SOHCAHTOA strategy. This means that the equation will be:

Sin(46)=8/x

Now, we punch in the first half of our equation, Sin(46), into the calculator. it should pop up as:

Sin(46)=0.7193398

now, we substitute that in our original equation, and make it like this:

0.7193398=8/11.1

now, everything will be pretty easy. First, round the decimal into something easier, in this case, 18/25. Now, the equation will be:

18/25=8/x

from here, we can cross multiply to get the x. your fraction should be:

18x/200

so, x=200/18. convert it into a decimal, we get:

11.1111111...

now, we find the number closest to 11.11, which is 11.1, making the answer 11.1, or D.

construct some angles of 90 degrees

Answers

This is the answer its like a sqyare and tgat angle is 90°

well its easy just take protractor and mark 90 degrees and then draw!

What is the quotient of (x3 6x2 11x 6) ÷ (x2 4x 3)?

Answers

The quotient of (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3) is (x + 2) after factorization of the polynomial.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial:

= x³ + 6x² + 11x + 6

The above polynomial is divided by x² + 4x + 3

= (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3)

To find the quotient:

[tex]\rm =\dfrac{\left(x+1\right)\left(x+2\right)\left(x+3\right)}{x^2+4x+3}[/tex]

[tex]\rm =\dfrac{\left(x+1\right)\left(x+2\right)\left(x+3\right)}{\left(x+1\right)\left(x+3\right)}[/tex]

[tex]\rm =x+2[/tex]

Thus, the quotient of (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3) is (x + 2) after factorization of the polynomial.

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Hi can someone please help me solve this problem in the picture :)

Answers

Answer:

x = -5

Step-by-step explanation:

9 - 19 = 9x - 7x

2x = -10

Which of the following equations has the same solutions as x^2+8x+2=0

Answers

Answer:

See below

Step-by-step explanation:

Need the choices.....

     essentially,  you can multiply this equation  by any constant to get an equivalent equation with the same solutions.

x^2 + 8x + 2 = 0      multiply both sides by '3' to get

3x^2 + 24 x + 6 = 0     <===== this will have the same solutions

    or this one:

x^2 + 8x + 2  = 0            Multiply both sides by   '6' to get

6x^2 + 48x + 12 = 0      <===== this will have the same solutions also

etc....

The graph shows temperatures at different altitudes. Which choice describes the relationship between temperature and altitude?

Answers

Answer:

the first one

Step-by-step explanation:

positive linear relationship

Which of the following is the solution set of -2|x| < -8

1. {x | -4 < x < 4}
2. {x | -4 > x > 4}
3. {x | x < -4 or x > 4}

Answers

-2|x|<-8

(-2|x|)/-2<-8/-2

|x|>4

x>4 or x>-4

Solution: ] -♾️ , -4 [ U ] 4 , + ♾️ [

PLEASE GIVE BRAINLIEST

Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, where r is the radius of the balloon, in
inches. The radius of the balloon increases with time, in seconds, by the function r(t) = 1/4 t².
Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the
two true statements.

Answers

There are two true statements:

When the function is composed with r, the composite function is V(t) = (1/48) · π · t⁶.V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

How to use composition between two function

Let be f and g two functions, there is a composition of f with respect to g when the domain of f is equal to the range of g. In this question, the domain variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two true statements:

When the function is composed with r, the composite function is V(t) = (1/48) · π · t⁶.V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

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3 cm
5 cm
7 cm
4 cm
(b) Calculate the total surface area (TSA) of this shape.

Answers

7cm if you look from the
Ankles

What is the range of the function shown in the graph?

Answers

The range of a function is -3 to infinite option (C) -3 < y < ∞ is correct because the minimum value of y is -3.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have given a graph of an exponential function.

From the graph:

The minimum value of y is -3

And the graph of a function goes infinitely.

Thus, the range of a function is -3 to infinite option (C) -3 < y < ∞ is correct because the minimum value of y is -3.

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The gerneral form of the equation of a circle is x^2 + y^2 + 8x + 22y + 37=0
The equation of this circle in standard form is (x + *blank*)^2 + (y + *blank* )^2 = *blank

Answers

(x+4)² +(y+11)²=10²

What is equation of circle?

The general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

given: x²+ y² + 8x + 22y + 37=0

As, the general equation for a circle is ( x - h )² + ( y - k )² = r².

x²+ y² + 2*4x + 2*11y + 37=0

x²+ y² + 2*4x + 2*11y +121+16-100=0

x²+  2*4x +16 + y² +  2*11y + 121 =100

(x+4)² +(y+11)²=10²

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If t varies inversely with s and
It is 2 when.s is 36,
what is t when s is 3?

Answers

Inverse Variation

If t varies inversely with s andIt is 2 when.s is 36,what is t when s is 3?

What is inverse variation?

Inverse variation is a quantity of two variables that is equal to a constant.

t varies inversely as s: ts = k

Given:

t = 2s = 36

To determine the constant of variation (represented by k), substitute the first two given values of s and t to the equation of variation.

ts = k(2)(36) = k72 = k

To determine the value of t, substitute the second value of s and replace k to 72 (the value of the constant)

ts = k3t = 72t = 72/3t = 4

Answer:

The value of t is 4.

Wxndy~~

I need to know what VX=

Answers

Answer:

VX=13

Step-by-step explanation:

VX=XW

XW=13

Hope this helps!

If not, I am sorry.

Answer:

Step-by-step explanation:

It would be good to know if x is the center of the circle. If it is then vx is a radius, and xw is a radius. Therefore both vx and vw are the same length which is 13

Answer VX = 13

[tex]x^{2} - 2x \geq \ 3[/tex] Solve x^2 -2x \ge \ 3.
solve please.

Answers

Answer:

7 h

Step-by-step explanation:

nhnh

A saving account has $51.75 and increases by $15 each week. The account of money in the account is a linear function of time. Which statement best describes the rate change and initial value of the function?

Answers

The statement that best describes the rate of change and initial value is the rate of change is the money deposited per week and the initial value is the amount of money at the start.

What is a linear function?

A linear function is a function that has a single variable raised to the power of 1. A linear function is usually in the form  m = ax + c

Where:

a = rate of change c = constant

The equation that represents the information in the question is:

$51.75 + $15w

Where:

$51.75 = constant $15 = rate of change w = number of weeks

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What is 80 divided by 7640

Answers

Answer:

0.01047

Step-by-step explanation:

Answer:

7640/80=95.5 or 80/7640=0.01047120418

Step-by-step explanation:

I used a calculator.

Over time, the number of organisms in a population increases exponentially. The table below shows the approximate number of organisms after y years.y yearsnumber of organisms, n155260367475The environment in which the organism lives can support at most 600 organisms. Assuming the trend continues, after how many years will the environment no longer be able to support the population?

Answers

The environment will no longer be able to support the population after 24 years

How to determine the number of years?

The proper representation of the table is given as:

y   1   2    3  4

n 55 60 67 75

An exponential function is represented as:

[tex]n = ab^y[/tex]

Where:

a represents the initial valueb represents the rate.

Next, we determine the function equation using a statistical calculator.

From the statistical calculator, we have:

a = 49.19 and b = 1.11

Substitute these values in [tex]n = ab^y[/tex].

So, we have:

[tex]n = 49.19 * 1.11^y[/tex]

From the question, the maximum is 600.

So, we have:

[tex]49.19 * 1.11^y = 600[/tex]

Divide both sides by 49.19

[tex]1.11^y = 12.20[/tex]

Take the logarithm of both sides

[tex]y\log(1.11) = \log(12.20)[/tex]

Divide both sides by log(1.11)

y = 23.97

Approximate

y = 24

Hence, the environment will no longer be able to support the population after 24 years

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Answer:

a

Step-by-step explanation:

just did it

State whether the given measurements determine zero, one, or two triangles. b=86, b=21, c=18

Answers

Answer: 1

Step-by-step explanation:

I assume you meant to type [tex]B=86^{\circ}, b=21, c=18[/tex].

By the Law of Sines,

[tex]\frac{\sin C}{c}=\frac{\sin B}{b} \\ \\ \frac{\sin C}{18}=\frac{\sin 86^{\circ}}{21} \\ \\ \sin C=\frac{18 \sin 86^{\circ}}{21} \\ \\ C=\sin^{-1} \left(\frac{18 \sin 86^{\circ}}{21} \right), 180^{\circ}-\sin^{-1} \left(\frac{18 \sin 86^{\circ}}{21} \right) \\ \\ C \approx 58.77^{\circ}, 121.23^{\circ}[/tex]

Since only one of these values will make a triangle (the obtuse possibility for C will mean [tex]B+C > 180^{\circ}[/tex], which violates the condition that the angles of a triangle add to 180 degrees), 1 triangle can be formed.

Does the equation y = x/2 represent a proportional relationship​?

Answers

Answer:

I think the answer is yes, because its graph is a line that passes through the origin

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Which expression equivalent

Answers

Answer:

B.) 1 / r⁴²

Step-by-step explanation:

In this case, you can multiply the exponents together. When you have a negative exponent, it can be moved to the bottom to remove the negative sign.

(r⁻⁷)⁶

r⁻⁴²

1 / r⁴²

What is the value of x?

Answers

Answer:

31.8 degrees

Given:

angle: x°

adjacent: 17

hypotenuse: 20

So use the cosine rule:

cos(x) = adjacent/hypotenuse

cos(x) = 17/20

x = cos^{-1} (17/20)

x = 31.8°

CosØ=Base/Hypotenusecosx=17/20x=cos^{-1}(17/20)x=31.78°x=31.8°

What is the mode of the data?

Answers

The mode of the given data is that; B: No mode

How to find the Mode in a stem and leaf plot?

In stem and leaf plot, the number that appears the most in the stem and leave part when combined is called the mode.

Now, when we look at the stem and leaf plot given, there is no combination that occurs the most as each one occurs just once.

Thus, we can conclude that there is no mode.

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