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What is the distance between the points? Round to the nearest tenth if necessary. (-2, 5) and (-6, -5)

User Trevorsg
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7.7k points

1 Answer

3 votes

Answer:

10.8

Step-by-step explanation:

If we plot the points on the graph, we can then plot another point at (-2,-5) as a vertex for a right triangle. The vertex and (-2,5) have a distance of 10 units, so we can save this.

The vertex and (-6,-5) are 4 units apart. Now, we can use Pythagorean theorem to calculate the hypotenuse, which is the distance between (-2, 5) and (-6, -5).

Pythagorean theorem: c² = a² + b²

Our variables: c = ?, a = 10, b = 4

Now, we can simplify these and make an equation.

c² = 100 + 16

c² = 116

√116 = c

√116 = 10.7703296143

c = 10.7703296143

We can round this to 10.8, making the distance between (-2, 5) and (-6, -5) 10.8 units.

User Gsamaras
by
8.0k points

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