Find the distance between (−8, −3) and (−2, −5) . Round your answer to the nearest hundredth, if necessary.(1 point)
units
The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can calculate the distance between (-8, -3) and (-2, -5):
d = sqrt((-2 - (-8))^2 + (-5 - (-3))^2)
= sqrt((6)^2 + (-2)^2)
= sqrt(36 + 4)
= sqrt(40)
≈ 6.32 units
Therefore, the distance between (-8, -3) and (-2, -5) is approximately 6.32 units.
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 to find the distance between two points (x1, y1) and (x2, y2) is:
√[(x2 - x1)^2 + (y2 - y1)^2]
Let's calculate the distance between the points (-8, -3) and (-2, -5) using the distance formula:
Distance = √[(-2 - (-8))^2 + (-5 - (-3))^2]
= √[(6)^2 + (-2)^2]
= √[36 + 4]
= √40
≈ 6.32 units
Hence, the distance between (-8, -3) and (-2, -5) is approximately 6.32 units when rounded to the nearest hundredth.
To find the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's label the points as follows:
Point 1: (-8, -3)
Point 2: (-2, -5)
Using the distance formula, we can substitute the coordinates into the formula:
d = √((-2 - (-8))^2 + (-5 - (-3))^2)
= √((6)^2 + (-2)^2)
= √(36 + 4)
= √40
≈ 6.324
Therefore, the distance between (-8, -3) and (-2, -5) is approximately 6.324 units.