1+4=5 2+5=12 3+6=21 5+8=?

makvit [3.9K]

A) (0,0) and (3,1)

1-0 divided by 3-0

Slope is 1/3

the slope represents the relationship between x and y

b) (6,2) and (-3,-1)

-1-2 divided by -3-6

Slope is 1/3

c) yes, the two triangles represent the same slope as all of the four points used are collinear (on the same line), making all the slopes equal.

5 0

3 years ago

If z varies directly with the product of x and y(z=k x y) , then z is said to vary jointly with x and y .

Dafna1 [17]

The value of z varies jointly with w and y.

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of constant of variation

let k be the constant of proportion

When a quantity varies directly with others, then we have a relation, y = kx

Given relation is z = kxy —-- 1

Also x varies directly with w i.e. x = k'w, where k' is constant of variation for x and w

Using in equation 1, we have,

z = k(k'w)y

z = kk'wy

z = Kwy, where K is constant of variation i.e. K = kk'

It shows that z varies directly with w and y.

Hence, z varies jointly with w and y.

To learn more about the constant of proportion, visit the link:

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5 0

1 year ago

The coordinates of the endpoints of AB are A(-4, 3 ) and B ( 1, -3 ). Which measurment is closet to the length AB in units.

k0ka [10]

<u><em>Note: Since you may have probably unintentionally forgotten to add the choices, but I am solving this question as it would still help you clearing your concept and determining the correct choice. </em></u>

Answer:

The measurement is closet to the length AB will be $\sqrt{61}=7.81$ units

Step-by-step explanation:

As the coordinates of the endpoints of AB are

A(-4, 3 )
B( 1, -3 )

As we know that the distance between two points is basically termed as the length of the line segment AB connecting them

As

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

So,

$\mathrm{The\:distance\:between\:}\left(-4,\:3\right)\mathrm{\:and\:}\left(1,\:-3\right)\mathrm{\:is\:}$

$=\sqrt{\left(1-\left(-4\right)\right)^2+\left(-3-3\right)^2}$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

$=\sqrt{\left(1+4\right)^2+\left(-3-3\right)^2}$

$=\sqrt{5^2+6^2}$

$=\sqrt{25+36}$

$=\sqrt{61}$

$=7.81$ units

So, the length AB or the distance between two points A(-4, 3 ) and

B ( 1, -3 ) will be $\sqrt{61}=7.81$ units

Therefore, the measurement is closet to the length AB will be $\sqrt{61}=7.81$ units

Keywords: distance between two points, distance formula

Learn more about distance between two points from brainly.com/question/9231324

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5 0

3 years ago

Read 2 more answers

Which option correctly describes both domain & the range?

stich3 [128]

Domain refers to all of the x-values that satisfy the line, and the range refers to all of the y-values that satisfy the line.

Since t corresponds to the x-ordinates, then the domain becomes:
0 ≤ t ≤ 6

and the range becomes:
0 ≤ v ≤ 150

In short, the answer is (A)

4 0

3 years ago

100 points question in the photo!!!

arsen [322]

The arrow are pointing to the right, so the numbers on the left are inout values (X) and the numbers on the right are output numbers (Y)

-3 points to 4 so you have (-3,4)

-1 points to 5 for (-1,5)

0 points to 7 for (0,7)

2 points to 2 for (2,2)

5 points to 7 for (5,7)

The 3rd answer has all these combinations.

6 0

3 years ago

Read 2 more answers