find the distance between points
(-4,10), (4,-5)
That distance is the hypotenuse of a triangle with sides of 8 and 15.
sqrt[(-15)^2 + 8^2] = sqrt 289 = 17
To find the distance between two points, you can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is:
d = √[(x2 - x1)² + (y2 - y1)²]
Given the two points (-4, 10) and (4, -5), let's label them as (x1, y1) and (x2, y2) respectively:
Point 1: (x1, y1) = (-4, 10)
Point 2: (x2, y2) = (4, -5)
Now we can substitute the values into the distance formula:
d = √[(4 - (-4))² + (-5 - 10)²]
d = √[(4 + 4)² + (-5 - 10)²]
d = √[(8)² + (-15)²]
d = √[64 + 225]
d = √289
d = 17
Therefore, the distance between the two points (-4, 10) and (4, -5) is 17 units.