. Points A and B are to be mapped onto a number line according to two equations. The solution to the equation 2 24 3 A   is the coordinate of point A. The solution to the equation 20 0.2 B   is the coordinate of point B. (a) Solve the first equation to find the coordinate of point A. Show your work. (b) Solve the second equation to find the coordinate of point B. Show your work.

Complete question :

Points A and B are to be mapped onto a number line according to two equations. The solution to the equation 2/3 A= -24 is the coordinate of point A.The solution to the equation 20= -B/0.2 is the coordinate of Point B. (A) solve the first equation to find the coordinate of point A. Show your work. (B) Solve the second equation to find the coordinate of point B. Show your work. (C) Determine the distance between Points A and B.

-36 ; - 4 ; 32

Step-by-step explanation:

Given the equation :

Equation 1:

2/3 A= -24 - - - (1)

Equation 2 :

20= -B/0.2 - - - (2)

A.) Coordinate of point A:

2/3 A= -24

2A/3 = - 24

Cross multiply :

2A = 3 * - 24

2A = - 72

A = - 72 / 2

A = - 36

B.)

Coordinate of point B:

20= -B/0.2

Cross multiply :

-B = 20 * 0.2

-B = 4

Divide through by - 1

B = - 4

C.)

Distance between points A and B:

Point B - Point A

-4 - (-36)

-4 + 36

= 32

i dont know if you cant find a way its best to actually add all of them start from 105 tho

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .