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charle [14.2K]
3 years ago
15

The vertex of this parabola is at (-2,-3). When the y-value is -2 the x-value is -5. What is the coefficient of the square term

in the parabola’s equation?
I think it’s -3

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

a = -3

Step-by-step explanation:

You're correct.

The form of the equation you need is

x=a(y-k)^2+h

Filling in our h, k, y, and x:

-5=a(-2+3)^2-2 which simplifies to

-5=a(1)-2 which simplifies further to

a=-3

Very good!!!! These can be tricky, but you got it!!

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
EleoNora [17]

Answer:

For the perimeters, x must be equal to 2.

For the areas, it is either undefined, or something.

Step-by-step explanation:

You can first find the perimeters for both sides.

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Then we multiply x + 10 by 2 because there are 4 sides, and we only got 2 sides.

The perimeter of the first shape is 2x + 20.

The second shape can be solved by doing the same thing by adding 2 and 3x + 4 to get 3x + 6.

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If both sides are supposed to be equal, then we can write these two expressions we solved for like:

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Again

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Simplify

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Division property of equality

4/4x = 8/4

Simplify

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So if x = 2, the perimeters will be the same.

You can confirm this by plugging it back into either equation.

For the areas, we just multiply the length and width for both shapes, so we get

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Since they are supposed to be equal.

We simplify and get

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We also know that 24 is not equal to 8 (who thought!)

:D

24 ≠ 8

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3 0
3 years ago
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5(2x+3)  by adding them you get this equation.
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3 years ago
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