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3 years ago

Find the recursive formula. 8, 12, 16, 20, ...

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

7 0

First term, a
1

=4
Second term, a
2

=8
Common difference, d=a
2

=a
1

d=8−4=4
∴ The common difference is 4

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Using the given information, give the vertex form equation of each parabola.

Amanda [17]

Answer:

The equation of parabola is given by : $(x-4) = \frac{-1}{3}(y+3)^{2}$

Step-by-step explanation:

Given that vertex and focus of parabola are

Vertex: (4,-3)

Focus:( $\frac{47}{12}$ ,-3)

The general equation of parabola is given by.

$(x-h)^{2} = 4p(y-k)$ , When x-componet of focus and Vertex is same

$(x-h) = 4p(y-k)^{2}$ , When y-componet of focus and Vertex is same

where Vertex: (h,k)

and p is distance between vertex and focus

The distance between two points is given by :

L= $\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}$

For value of p:

p= $\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}$

p= $\sqrt{(4-\frac{47}{12})^{2}+((-3)-(-3))^{2}}$

p= $\sqrt{(\frac{1}{12})^{2}}$

p= $\frac{1}{12}$ and p= $\frac{-1}{12}$

Since, Focus is left side of the vertex,

p= $\frac{-1}{12}$ is required value

Replacing value in general equation of parabola,

Vertex: (h,k)=(4,-3)

p= $\frac{-1}{12}$

$(x-h) = 4p(y-k)^{2}$

$(x-4) = 4(\frac{-1}{12})(y+3)^{2}$

$(x-4) = \frac{-1}{3}(y+3)^{2}$

8 0

3 years ago

Maria used one bag of flour. She baked

AveGali [126]

Answer:

Answer is 11.

Step-by-step explanation:

Maria used two loaves of bread , One loaf is equal=2 1/4 cups so two becomes 2 ×2 1/4= 9/2

Maria makes the remaing 48 muffins of the flour left so,

One muffin is equal 3 1/4 cups so two becomes 2×3 1/4=13/2

Add both of them

9/2+13/2=11

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3 years ago

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C) what is her unit rate in miles per hour?

Step-by-step explanation:pls mark me as brainest pls

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3 years ago

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lubasha [3.4K]

Answer: 1500

Step-by-step explanation:

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so its 1500

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3 years ago

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how many different angles would be formed by a transversal intersecting three parallel lines? How many different angle measureme

RSB [31]

You would get alternating interior and exterior angles, corresponding and consecutive angles, and vertical angles. There would be only two different angle measurements, which would add to 180 degrees, the degree of one straight line.

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