Find the distance between (-2,9) and (-5,15)
a)24.18
b)6.71
c)45.02
d)18.67
just need to know if my answer is right or wrong b
3^2 + 6^2 = 9+36 = 45
sqrt 45 = 6.71
thanks damon
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.
The formula for finding the distance between two points (x1, y1) and (x2, y2) in a 2D coordinate plane is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between (-2, 9) and (-5, 15) using the distance formula:
x1 = -2, y1 = 9
x2 = -5, y2 = 15
distance = √((-5 - (-2))^2 + (15 - 9)^2)
= √((-5 + 2)^2 + (15 - 9)^2)
= √((-3)^2 + (6)^2)
= √(9 + 36)
= √(45)
≈ 6.71
So, the correct answer is b) 6.71.