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Find the distance between (-3, 0) and (2, 7). Round to the nearest hundredth.

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5 votes

Answer:


√(74) ≈ 8.60

Explanation:

On a 2-D plane, we can find the distance between 2 coordinate points.

2-D Distance

We can find the distance between 2 points by finding the length of a straight line that passes through both coordinate points. If 2 points have the same x or y-value we can find the distance by counting the units between 2 points. However, since these points are diagonal to each other, we have to use a different formula. This formula is simply known as the distance formula.

Distance Formula

The distance formula is as follows:


  • d = \sqrt{(x_(2)- x_(1))^(2) +(y_(2)- y_(1))^2 }

To solve we can plug in the x and y-values.


  • d=√((2-(-3))^2+(7-0)^2)

Now, we can simplify to find the final answer.


  • d = √(74)

This means that the distance between the 2 points is
√(74). This rounds to 8.60.

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