. 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

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

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