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olga nikolaevna [1]
3 years ago
9

(V2.00)Rewrite f(x) = -2(x - 3)2 + 2 from vertex form to standard form.​

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

Answer:

The standard form of the quadratic equation is f(x)=-2x^{2}+12x-16

Step-by-step explanation:

we know that

The standard form of a quadratic equation is

f(x)=ax^{2}+bx+c

we have

f(x)=-2(x-3)^{2}+2

convert to standard form

f(x)=-2(x-3)^{2}+2\\f(x)=-2(x^{2} -6x+9)+2\\f(x)=-2x^{2}+12x-18+2\\f(x)=-2x^{2}+12x-16

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Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to
NeX [460]

Answer:

Step-by-step explanation:

The given triangle is a right angle triangle. The opposite side is given as 244 yards. The adjacent side is given as 119 yards. To determine the hypotenuse, we would apply Pythagoras theorem. It is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = 244^2 + 119^2

Hypotenuse^2 = 59536 + 14161

Hypotenuse = √73697 = 271.5 yards.

cos θ = adjacent side/hypotenuse

cos θ = 119/271.5 = 0.4383

θ = Cos^-1(0.4383) = 64 degrees

The other angle would be

90 - 64 = 26 degrees

4 0
3 years ago
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
anastassius [24]

Answer:

In decimal form it is 0.125, which is a terminating decimal. The fraction 29/200 is 0.145 as a decimal, which is another terminating decimal. 51.202211 is also a terminating decimal because the number ends after the last 1. Terminating decimals can also repeat, but they must still have an end, such as 0.4545.

Step-by-step explanation:

Hope this <em><u>Helped!</u></em> :D

3 0
4 years ago
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Identify the property demonstrated.<br>4(3 + 5) = 4 • 3 + 4 • 5<br>​
Olenka [21]

Answer:

It's the distributive property of algebra as applied to parentheses

Step-by-step explanation:

(see attached graphic)

4 0
3 years ago
Help!!!<br><br> Given the function f(x) = x/3 + 7. Find the input for which f(x) = 13
ikadub [295]

\begin{cases}f(x)=x/3+7\\f(x)=13\end{cases}

We find that

13=x/3+7\Longrightarrow x=\boxed{18}

Hope this helps.

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3 years ago
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Eddi Din [679]

Answer:

A dilation of 2 about the origin.

Step-by-step explanation:

You can see in the original figure the points are half the points of the transformed figure.

For example the coordinates of H are (0.5,0)

The coordinates of H' are (1,0)

Since 0.5 * 2 = 1

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4 0
3 years ago
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