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Nina [5.8K]
2 years ago
6

Find the distance (8,-7) (-4,-2)

Mathematics
2 answers:
Vinil7 [7]2 years ago
7 0

Distance = 13 units

Point A: (8, -7)

Point B: (-4, -2)

\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }

\sqrt{(12)^{2} + (-5)^{2} }

\sqrt{144 + 25 }

\sqrt{169}

13

kaheart [24]2 years ago
6 0

Answer:

\boxed {d = 13}

Step-by-step explanation:

Use the <u>Distance Formula</u> to help you find the distance between the two following points:

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

(where (x_{1}, y_{1}) represents the first point and (x_{2}, y_{2}) represents the second point)

-Apply the two following onto the formula:

(x_{1}, y_{1}) = (8, -7)

(x_{2}, y_{2}) = (-4, -2)

d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}

-Solve for the distance:

d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}

d = \sqrt{(-12)^{2} + 5^{2}}

d = \sqrt{144 + 25}

d = \sqrt{169}

\boxed {d = 13}

Therefore, the distance is 13.

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