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Answer:
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,