point E is located at (-2,2) and point F is located at (4,-6). what is the distance between points E and F?
A.)Square Rot of 52
B.)Square Roots of 28
C.)10
D.)Square Root of 20
Looks like (C) to me
C is correct
(X1 + X2)^2 + ( y1 + y2)^2 = D^ 2
( 2 + 4)^2 + (2+6)^2= D^2
36 + 64 = 100= D^2
D= root of 100= 10
D is the distance
Ignore the minus sign in the given values
actually, don't ignore the minus signs. The calculation involves subtracting one set of coordinates from the other:
(-2-4)^2 + (2-(-6))^2
(-(2+4))^2 + (2+6)^2
At this point the minus signs go away because of the squaring
To find the distance between two points on a coordinate plane, you can use the Distance Formula. The Distance Formula is derived from the Pythagorean theorem and is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, point E is located at (-2, 2) and point F is located at (4, -6).
Using the coordinates, we can substitute them into the formula as follows:
d = √((4 - (-2))^2 + (-6 - 2)^2)
= √((4 + 2)^2 + (-6 - 2)^2)
= √(6^2 + (-8)^2)
= √(36 + 64)
= √100
= 10
So, the distance between points E and F is 10.
Therefore, the correct answer is option C) 10.