Question

Find the distance between the points (-3,7)
and
(6, 7).

Answer 1

Answer:

9

Step-by-step explanation:

use the distance formula:

$\sqrt{(x2 -x1)^{2} + (y2-y1)^{2} }$

so, with your two points, x2=6, x1=-3, y2=7, and y1=7

so then just plug in the values

$\sqrt{(6--3)^{2} + (7-7)^{2} }$

because you have 6 minus a negative number, it turns into 6+3, like shown

$\sqrt{(6+3)^{2} + (7-7)^{2} }$

so then add and subtract the parenthesis

$\sqrt{(9)^{2} + (0)^{2} }$

so then because 0 squared is just zero, you simply have the square root of 9 squared

$\sqrt{9^{2} }$

so then square the 9

$\sqrt{81}$

then take the square root of 81, and you get 9!

[note that when you have the square root of a squared number, it is just the number, so the square root of 9 squared is just 9, but if it helps, you can work it out like I did to show you :)]