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Alina [70]
3 years ago
10

2. Find the distance between (-2,1) and (3,4).

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

Answer:

\sqrt{34} or 5.83095

Step-by-step explanation:

Use the distance formula \sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^2 }

Make sure to round the answer appropriately if not asked for in square root form!!

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solution is (4, - 7 )

given the equations

y = 2x - 15 → (1)

4x + 3y = - 5 → (2)

substitute y = 2x - 15 into (2)

4x + 3(2x - 15) = - 5

4x + 6x - 45 = - 5

10x - 45 = - 5 ( add 45 to both sides )

10x = 40 ( divide both sides by 10 )

x = 4

substitute x = 4 into (1) for corresponding value of y

y = (2 × 4 ) - 15 = 8 - 15 = - 7

solution is (4, - 7 )


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