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Andre45 [30]
3 years ago
7

20 POINTS! What is the distance between the points (2, 3) and (5, -4)?

Mathematics
1 answer:
sineoko [7]3 years ago
7 0
Use the distance formula.

The distance, d, between points (x_1, y_1)
and (x_2, y_2) is given by the distance formula below.

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Now we can apply the formula to your points.

Let Point 1 be (2, 3) and Point 2 be (5, -4).

Then you have

x_1 = 2~~~~y_1 = 3~~~~x_2 = 5~~~~y_2 = -4

d = \sqrt{(5 - 2)^2 + (-4 - 3)^2}

d = \sqrt{(3)^2 + (-7)^2}

d = \sqrt{9 + 49}

d = \sqrt{58}

Answer: the distance is sqrt(58)
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