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Naya [18.7K]
1 year ago
12

Find the distance between (-6, -12) and (4,8) using the distance formula.

Mathematics
2 answers:
Romashka [77]1 year ago
6 0

Answer:

The distance formula is 22.360679775

if you round it to the nearest tenth, then the answer is 22.4

Step-by-step explanation:

(-6, -12) and (4,8)

<u>(x2 - x1)² + (y2 - y1)²</u>

Place the x and y values

(4 - - 6)² + (8 - - 12)²

= 10² + 20²

= 100 + 400 = 500

√500 = 22.360679775

Round it to the nearest tenth, and you will get 22.4

Hope this helps!

Please mark me as the brainliest

JulsSmile [24]1 year ago
4 0

Answer: Distance = 10√2

Step-by-step explanation:

<u>Given formula</u>

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

<u>Given information</u>

(x₁, y₁) = (-6, -12)

(x₂, y₂) = (4, 8)

<u>Substitute given information into the formula</u>

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

Distance~=~\sqrt{((4)-(-6))^2+((8)-(-12))^2}

<u>Simplify values in the parenthesis</u>

Distance~=~\sqrt{(4+6)^2+(8+12)^2}

Distance~=~\sqrt{(10)^2+(20)^2}

<u>Simplify the exponents</u>

Distance~=~\sqrt{100+400}

<u>Simplify the radical number</u>

Distance~=~\sqrt{500}

Distance~=~\Large\boxed{10\sqrt{5}}

Hope this helps!! :)

Please let me know if you have any questions

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