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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​

Respuesta :

Answer:

The answer is option E.

Step-by-step explanation:

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

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

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

[tex] |JG| = \sqrt{ ({ - 4 - 146})^{2} + ({2 - 52})^{2} } \\ = \sqrt{ ({ -150})^{2} + ({ -50})^{2} } \\ = \sqrt{22500 + 2500} \\ = \sqrt{25000} \\ = 50 \sqrt{10} \\ = 158.11388[/tex]

We have the final answer as

158.1 to the nearest tenth

Hope this helps you