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Jet001 [13]
3 years ago
12

Find the distance between C(-2,-6) and D(4, -3).

Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer:

3\sqrt{5}

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(- 2, - 6) and (x₂, y₂ ) = D(4, - 3)

CD = \sqrt{(4+2)^2+(-3+6)^2}

     = \sqrt{6^2+3^2}

     = \sqrt{36+9}

     = \sqrt{45} = \sqrt{9(5)} = 3\sqrt{5} ← exact value

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