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. �ã52
B. �ã28
C. 10
D. �ã20
Please show me how it works! I don't understand this question :(
A. Square root 52
B. Square root 28 ***?
C. 10
D. Square root 20
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem. Here's how you can apply it to this problem:
Step 1: Identify the coordinates of point E and point F:
Point E: (-2, 2)
Point F: (4, -6)
Step 2: Use the distance formula:
The distance formula is given as:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Note: sqrt symbol denotes the square root.
Substituting the values of the coordinates into the distance formula:
Distance = sqrt((4 - (-2))^2 + (-6 - 2)^2)
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 correct answer is C. 10.