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Norma-Jean [14]
3 years ago
15

Which property of equality was used to solve this equation?

Mathematics
1 answer:
stealth61 [152]3 years ago
3 0

Answer:

D. Division property of equality.

Step-by-step explanation:

- 5x = 4 \:  \:  \:  \frac{ - 5x}{ - 5} =  \frac{4}{ - 5} \:  \:  \:  \: x =  \frac{ - 4}{5}

We divided the terms on both sides by -5.

Hope this helps ;)❤❤❤

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Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y)  from the focus is

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the distance of the point from the line y = -4

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These distances are equal for a parabola so:

√[(x -  -8)^2  + (y - -1)^2] = y + 4

Squaring both sides:

(x + 8)^2 + (y + 1)^2  = (y + 4)^2

x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16

x^2 + 16x + 64 + 1 - 16 = 8y - 2y

6y = x^2 + 16x + 49

y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

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