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3 years ago

What’s the vertex of this equation?

Mathematics

1 answer:

statuscvo [17]3 years ago

3 0

f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Do you see the h and k in your equation?

-h = -(-2) = 2

We see that k = -4.

Our vertex is (2, -4).

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Romashka-Z-Leto [24]

Square prism

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8 0

3 years ago

Find the solution of the system of equations.

avanturin [10]

Answer:

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0

3 years ago

What is the exact value of sin 45° ?<br><br>enter your answer, as a simplified fraction.

Ne4ueva [31]

Look at the picture.

Use the Pythagorean theorem:

$b^2=a^2+a^2\\\\b^2=2a^2\to b=\sqrt{2a^2}\\\\b=\sqrt{a^2}\cdot\sqrt2\\\\b=a\sqrt2$

$\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\theta=45^o,\ opposite=a,\ hypotenuse=a\sqrt2$

substitute

$\sin45^o=\dfrac{a}{a\sqrt2}=\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2}$

Answer: $\sin45^o=\dfrac{\sqrt2}{2}$

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3 years ago

Olivia walks up to a tank of water that can hold up to 50 gallons. When it is active, a drain empties water form the tank at a c

agasfer [191]

Answer:

Step-by-step explanation:

I got the answer C because if the estimated value of the tank is 50 and it gets drained it will only have 18 gallon in it

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3 years ago

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Which statements are true about the figure? Check all that apply.

ki77a [65]

Answer:

1,3,5

Step-by-step explanation:

4 0

2 years ago

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