To find the length between (2,7) and (-2,0), we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the x-coordinate represents one side of the triangle, and the y-coordinate represents another side. The length between the two points will be the hypotenuse.
Using the formula, we can calculate the length as follows:
Length = √[(x2 - x1)^2 + (y2 - y1)^2]
= √[(-2 - 2)^2 + (0 - 7)^2]
= √[(-4)^2 + (-7)^2]
= √[16 + 49]
= √65
≈ 8.06
Therefore, the length between (2,7) and (-2,0) is approximately 8.06 units.
Apply the Pythagorean Theorem to find the length between (2,7)
and (−2, 0)
. Round your answer to the nearest hundredth, if necessary.(1 point)
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