PLEASE HELP!!! for the diagram below which equation is the correct use of the distance formula?

Question

asked Feb 25, 2018 110k views

2 Answers

Erol · Answer 1 · 2018-03-03T02:07:33+0000

Answer:

(A)
$3.2=\sqrt{(4.5-2.5)^2+(y_(2)-3)^2}$

Explanation:

From the given figure, using the distance formula, we have

$d=\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}$

We have the points that are
(2.5,3) and
(4.5,y_(2)) , thus

$d=\sqrt{(4.5-2.5)^2+(y_(2)-3)^2}$

Also, it is given that the value of d is 3.2, therefore the above equation becomes

$3.2=\sqrt{(4.5-2.5)^2+(y_(2)-3)^2}$

Upon solving the above equation, we get

$3.2=\sqrt{(2.0)^2+(y_(2)-3)^2}$

$3.2=\sqrt{4.0+(y_(2)-3)^2}$

Squaring on both the sides, we have

10.24=4.0+(y_(2)-3)

6.24=(y_(2)-3)^2

Taking square root on both sides, we get

2.49=y_(2)-3

y_(2)=5.49

Thus, the value of
is 5.49.

Hence, option A is correct.