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 52
B. square root 28
C. 10
D. square root 20
using your distance formula, you know that it is
√((4+2)^2 + (-6-2)^2) = 10
To find the distance between two points in a coordinate plane, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, point E has coordinates (-2, 2) and point F has coordinates (4, -6).
Plugging the values into the distance formula, we get:
Distance = sqrt((4 - (-2))^2 + (-6 - 2)^2)
Distance = sqrt((6)^2 + (-8)^2)
Distance = sqrt(36 + 64)
Distance = sqrt(100)
Distance = 10
Therefore, the distance between points E and F is 10.
So, the answer is C. 10.
To find the distance between two points, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, point E is located at (-2, 2) and point F is located at (4, -6). Let's substitute these values into the distance formula:
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 option is C.