Point E is located at (–2, 2) and point F is located at (4, –6). What is the distance between points E and F?
Please help, I have no idea!
The answers are:
square root of 52
square root of 28
10
square root of 20
thanks!
I think it's 10, but idk.
distance = √( (-6-2)^2 + (4-(-2))^2)
= √(64 + 36)
= √100
= 10
Thanks! :)
How bout this one?
At the halftime show, a marching band marched in formation. The lead drummer started at a point with coordinates (–2, –5) and moved 3 steps up and 1 step right.
a. Write a rule to describe the translation.
To find the distance between two points in a Cartesian coordinate system, you can use the distance formula. The distance formula is derived from the Pythagorean theorem.
The formula to find the distance between two points (x1, y1) and (x2, y2) is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's use this formula to find the distance between points E(-2, 2) and F(4, -6).
Plug in the values into the formula:
d = sqrt((4 - (-2))^2 + (-6 - 2)^2)
= 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 units.