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inn [45]
2 years ago
7

A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). write the equation of the pa

rabola
Mathematics
1 answer:
Lorico [155]2 years ago
8 0

The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

<h3>What is a Parabola ?</h3>

A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.

(x-h)² = 4a(y-k)

It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).

Therefore
(x -2)² = 4a(y +2)

The parabola passes through the point (3,-1)

(3-2)² = 4*a(-1+2)

1 = 4 a

a = 1/4

The equation of the parabola is

(x-2)² = (y+2)

Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

To know more about Parabola

brainly.com/question/4074088

#SPJ1

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Liono4ka [1.6K]

Answer:

Answer: 40 sq. in.

Step-by-step explanation:

First we gotta find the area of triangle part of the shape, we can see the left side of the shape is 5 in. , so we subtract the 3 from 5 which gives 2 the height of the triangle.

Now, we find the length for the base of the triangle, the top part of the shape is 7 in. , so we subtract 7 from 12 which gives us 5 in. as the base

Now, we find the area of the triangle:

A = \frac{1}{2}b × h

A = (\frac{1}{2} × 5 in,)  × 2 in

A = 5 sq. in.

Now we find the area for the rectangle:

A = b × h

A = 5 x 7

A = 35 sq. in

Finally, we add the areas together

35 sq. in. + 5 sq. in. = 40 sq. in.

We get our answer 40 sq. in,

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4 years ago
Estimate the sum by first rounding each
sukhopar [10]
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adell [148]

Answer:

55.08

Step-by-step explanation: Hope it helped.

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4 years ago
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Ksenya-84 [330]

Answer:

x = 52

Step-by-step explanation:

I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.

So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180

A + B = 180

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I hope this helps!

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