Find the distance between the pair of points (-8,2) (-9,5). Express as a decimal approximation rounded to the nearest hundredth if necessary.
distance = √( (-9+8)^2 + (5-2)^2 )
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To find the distance between two points in a 2D plane, we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Here, the coordinates of the two points are:
Point 1: (-8, 2)
Point 2: (-9, 5)
We can substitute the values into the distance formula to get:
Distance = sqrt((-9 - (-8))^2 + (5 -2)^2)
Simplifying further:
Distance = sqrt((-9 + 8)^2 + (5 - 2)^2)
= sqrt((-1)^2 + (3)^2)
= sqrt(1 + 9)
= sqrt(10)
To express the distance as a decimal approximation rounded to the nearest hundredth, we can evaluate the square root of 10. Using a calculator, we find:
sqrt(10) ≈ 3.16 (rounded to the nearest hundredth)
Therefore, the distance between the points (-8, 2) and (-9, 5) is approximately 3.16 units.