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lesantik [10]
2 years ago
8

What is the axis of symmetry of g(x)=-3(x—2)^2+1

Mathematics
1 answer:
alexandr1967 [171]2 years ago
5 0

Answer: x=2

Step-by-step explanation:Since from the form y=a(x-h)^2 + k we can see that the vertex (h,k) is (2,1), we know that the middle of the graph is at x=2, so that line would be the axis of symmetry.

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I need extra help please, -7y^2-2y^2+y^3y-2y+5y^3-2y
joja [24]

Answer:

How to solve your problem

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7

2

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2

2

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3

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2

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5

3

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2

-7y^{2}-2y^{2}+y^{3}y-2y+5y^{3}-2y

−7y2−2y2+y3y−2y+5y3−2y

Simplify

1

Combine exponents

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2

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+

3

−

2

+

5

3

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2

-7y^{2}-2y^{2}+{\color{#c92786}{y^{3}y}}-2y+5y^{3}-2y

−7y2−2y2+y3y−2y+5y3−2y

−

7

2

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2

2

+

4

−

2

+

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3

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2

-7y^{2}-2y^{2}+{\color{#c92786}{y^{4}}}-2y+5y^{3}-2y

−7y2−2y2+y4−2y+5y3−2y

2

Combine like terms

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7

2

−

2

2

+

4

−

2

+

5

3

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2

{\color{#c92786}{-7y^{2}}}{\color{#c92786}{-2y^{2}}}+y^{4}-2y+5y^{3}-2y

−7y2−2y2+y4−2y+5y3−2y

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9

2

+

4

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2

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5

3

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2

{\color{#c92786}{-9y^{2}}}+y^{4}-2y+5y^{3}-2y

−9y2+y4−2y+5y3−2y

3

Combine like terms

−

9

2

+

4

−

2

+

5

3

−

2

-9y^{2}+y^{4}{\color{#c92786}{-2y}}+5y^{3}{\color{#c92786}{-2y}}

−9y2+y4−2y+5y3−2y

−

9

2

+

4

−

4

+

5

3

-9y^{2}+y^{4}{\color{#c92786}{-4y}}+5y^{3}

−9y2+y4−4y+5y3

4

Rearrange terms

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9

2

+

4

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4

+

5

3

{\color{#c92786}{-9y^{2}+y^{4}-4y+5y^{3}}}

−9y2+y4−4y+5y3

4

+

5

3

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9

2

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4

{\color{#c92786}{y^{4}+5y^{3}-9y^{2}-4y}}

y4+5y3−9y2−4y

Solution

4

+

5

3

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9

2

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4

3 0
2 years ago
Can someone help me with this? It’s due soon <br> -I’ll give brainliest
Dovator [93]

Answer:

I'M TURKISH I DONT KNOW.

3 0
2 years ago
Dougie has a January hiking goal. Dougie
igomit [66]

Answer:

84 miles

Step-by-step explanation:

35% as a decimal is .35.

240*.35=84

7 0
2 years ago
let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)
statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

\sin (\theta)=\frac{3}{5}

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

x^2+3^2=5^2

Solving for x, we have

\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

\tan (y)=\frac{12}{5}

Describes the following triangle

Using the Pythagorean Theorem again, we have

5^2+12^2=h^2

Solving for h, we have

\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}

To calculate the sine and cosine of the sum

\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}

We can use the following identities

\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}

Using those identities in our problem, we're going to have

\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}

4 0
10 months ago
Mike paid $11.71 total
yan [13]

Answer:

Bill received 13.68 change back.

Step-by-step explanation:

20-6.32=13.68

7 0
2 years ago
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