Apply the means-extremes property of proportions: this allows you to cross multiply:
Apply the distributive property:
Add 24 to both sides:
Substract 3x to both sides
<h3><u>Answer</u>. The value of x = 24.</h3>
The coordinates of P' is (9, -6) and L' is (3, -1).
<h2>Given that</h2>PL has endpoints P(4, −6) and L(−2, 1).
The segment is translated using the mapping (x, y) → (x + 5, y).
<h3>We have to determine</h3>
What are the coordinates of P’ and L’?
<h3>According to the question</h3>PL has endpoints P(4, −6) and L(−2, 1).
The segment is translated using the mapping (x, y) → (x + 5, y).
The coordinates of point P after translation using mapping is,
And the coordinates of point L after translation using mapping is,
Hence, The coordinates of P' is (9, -6) and L' is (3, -1).
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