Question

Find the length of the line segment joining the points J(-4,2) and G(146,52). Round your answer to the nearest tenth if necessary

A.155.0
B.151.9
C.150.5
D.141.4
E.158.1​

Answer 1

The answer is option E.

Explanation:

The length of a line segment or the distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J(-4,2) and G(146,52)

The the length of the line segment joining the points is

`|JG| = \sqrt{ ({ - 4 - 146})^(2) + ({2 - 52})^(2) } \\ = \sqrt{ ({ -150})^(2) + ({ -50})^(2) } \\ = √(22500 + 2500) \\ = √(25000) \\ = 50 √(10) \\ = 158.11388`

We have the final answer as

158.1 to the nearest tenth

Hope this helps you