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Find the distance between (3, -3) and (2,7) as a decimal rounded to the nearest
tenth.

1 Answer

3 votes

Final answer:

To find the distance between the points (3, -3) and (2, 7), apply the distance formula and calculate the square root of the sum of the squares of the differences in the x and y coordinates, resulting in a distance of approximately 10.0 when rounded to the nearest tenth.

Step-by-step explanation:

To find the distance between two points (3, -3) and (2, 7), you can use the distance formula:

d = √[(x2 - x1)2 + (y2 - y1)2]

Substituting the given points into the formula gives us:

d = √[(2 - 3)2 + (7 - (-3))2]

d = √[(-1)2 + (10)2]

d = √[1 + 100]

d = √101

Using a calculator, we find that d is approximately 10.0499.

When rounded to the nearest tenth, the distance is 10.0.

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