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
3 answers
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
(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
(-2-4)^2 + (2-(-6))^2
(-(2+4))^2 + (2+6)^2
At this point the minus signs go away because of the squaring