use the distance formula to find the distance between the points (-3,8) and (-4,-1) round to the nearest hundredth if neccesary
1. A
2. D
3. D
4. B
5. C
Hope this helps!!
5. B
To find the distance between two points using the distance formula, you need to follow these steps:
1. Identify the coordinates of the two points.
Point 1: (-3, 8)
Point 2: (-4, -1)
2. The distance formula is derived from the Pythagorean theorem. It states that the square of the distance between two points on a coordinate plane (x1, y1) and (x2, y2) is the sum of the squares of the differences of their respective x and y coordinates.
The distance formula can be written as:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
3. Substituting the given coordinates into the formula, we get:
x1 = -3, y1 = 8
x2 = -4, y2 = -1
d = sqrt((-4 - (-3))^2 + (-1 - 8)^2)
4. Simplify the expression inside the square root:
d = sqrt((-1)^2 + (-9)^2)
d = sqrt(1 + 81)
d = sqrt(82)
5. Round the result to the nearest hundredth:
d ≈ 9.06
Therefore, the distance between the points (-3, 8) and (-4, -1) is approximately 9.06 units.