Question

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4/15 version of 4/7 version of M4T2 Test Review
Created by Meena Frazier
Q1: What is the distance between (2, 3) and (-2, 7)? Round to the nearest tenth, if necessary.

Answer 1

The answer to your question is 5.7

Explanation:

Data

Point A = (2, 3)

Point B = (-2, 7)

Process

To find the distance between points A and B use the formula of the distance between two points, substitute and simplify.

Formula

dAB =
`\sqrt{(x2 - x1)^(2)+ (y2 - y1)^(2)}`

-Identify wich is the value of x1, y1, x2, y2

x1 = 2 y1 = 3 x2 = -2 y2 = 7

-Substittion

dAB =
`\sqrt{(-2 - 2)^(2) + (7 - 3)^(2)}`

-Simplification

dAB =
`\sqrt{(-4)^(2) + (4)^(2)}`

dAB =
`√(16 + 16)`

dAB =
`√(32)`

-Result

dAB = 5.65 ≈ 5.7