Find the Length of CB?

Question

asked May 21, 2023 64.3k views

1 Answer

Gabitzish · Answer 1 · 2023-05-25T19:48:18+0000

Answer:

? = 6b

Explanation:

You want to find the length of CB from points B(3a, b) and C(-a, -5b).

The distance formula is given.

d = √((x2 -x1)² +(y2 -y1)²)

d = √((-a-3a)² +(-5b -b)²)

d = √(-4a)² +(-6b)²)

$d=\sqrt{(4a)^2+(\boxed{6b})^2}$

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Additional comment

The distance expression can be simplified to ...

d = 2√(4a² +9b²)

However, this is not the form your answer is supposed to take. The value that goes in the green box is 6b.

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