what is the distance between (-7, -4) and (3, -6) round the answer to the nearest tenth
To find the distance between two points, we can use the distance formula:
the distance = √((x2 - x1)^2 + (y2 - y1)^2)
Given the points (-7, -4) and (3, -6), we can plug in these values into the formula:
the distance = √((3 - (-7))^2 + (-6 - (-4))^2)
Calculating this expression, we get:
the distance = √((3 + 7)^2 + (-6 + 4)^2)
the distance = √((10)^2 + (-2)^2)
the distance = √(100 + 4)
the distance = √104
the distance ≈ 10.20 (rounded to the nearest tenth)
Therefore, the distance between (-7, -4) and (3, -6) rounded to the nearest tenth is approximately 10.2.