If 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(5a, 2a), where a > 0, what is the value of a?

The value of a is 80

Step-by-step explanation:

The distance of a point from the y-axis can be written as  because the x-coordinate of the y-axis is zero.

Similarly, the distance of a point  from the x-axis can be written as

since the y-coordinate of the x-axis is zero.

In this problem:

- The distance of the point A (−30, −45) from the y-axis can be written as

- The distance of point B (5a,2a) from the x-axis can be written as

Since

We are told that 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), which means

Therefore,

And solving for a,

the answer is d

step-by-step explanation:

answer: b)

step-by-step explanation:

its a dot plot because since the score is not high numbers.

- r3ktforgood ☕