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Svetllana [295]
3 years ago
8

Find the distance between the points (-6,-2), (2,7)

Mathematics
2 answers:
nadezda [96]3 years ago
7 0

Answer:

9 up, 8 right

Step-by-step explanation:

Readme [11.4K]3 years ago
4 0

Answer:

d=12.0416

Step-by-step explanation:

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

Simply plug in your 2 coordinates into the distance formula to find distance <em>d</em>:

d=\sqrt{(2-(-6))^2+(7-(-2))^2}

d=\sqrt{(2+6)^2+(7+2)^2}

d=\sqrt{(8)^2+(9)^2}

d=\sqrt{64+81}

d=\sqrt{145}

d=12.0416

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We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:

2(5y – 2) = 12 + 6y

In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:

a(b + c) = ab + ac
a(b – c) = ab – ac

In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:

2(5y – 2) = 2(5y) – 2(2)
2(5y – 2) = 10y – 4

In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.

The student first made an error in Step 2, and the correct step is:

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I hope this helps!
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