An artist is making a mural by reproducing a painting at a different scale. The original painting is 10 1/2 inches long and 4 in
ches wide. The mural will cover an entire wall that is 42 feet long and 16 feet wide. What will be the scale that relates the original painting to the mural?
2 answers:
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Answer:
The x-coordinate of point P is 6
Step-by-step explanation:
we have
A (2,3) and B (8,0)
we know that
Point P portions the segment AB in the ratio 2 to 1
so
and
where
AP_x represent the distance between the points A and P in the x-coordinates
AB_x represent the distance between the points A and B in the x-coordinates
The x-coordinate of P is equal to
where
A_x represent the x-coordinate of A
substitute the values
therefore
The x-coordinate of point P is 6