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 root of 52
b) square root of 28
c) 10
d) square root of 20
d^2 = (x)^2 + (y)^2
= (4-(-2))^2 + (-6-2)^2
= 6^2+8^2
= 100
so, d=10
c or d ?
I meant that the value of d is 10
The answer choice is c: 10
Odd that you would confuse variable names with answer choices...
To find the distance between points E and F, we can use the distance formula. The formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of point E are (-2, 2), and the coordinates of point F are (4, -6).
Using the formula, we have:
d = sqrt((4 - (-2))^2 + (-6 - 2)^2)
= sqrt((6)^2 + (-8)^2)
= sqrt(36 + 64)
= sqrt(100)
= 10
Therefore, the distance between points E and F is 10.
So, the correct answer is c) 10.