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4 years ago

Rewrite y=x^2+6x+2 in vertex form

Mathematics

1 answer:

Greeley [361]4 years ago

5 0

Answer:(x+3) 2−7

Step-by-step explanation:

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What is the length of a diagonal of a cube with a side length of 8 inches?

sashaice [31]

Answer:

13.9 inches

Step-by-step explanation:

Let the length of diagonal of cube be d inches.

$\therefore \: d = length \: of \: side \sqrt{3} \\ \hspace{16 pt} = 8 \sqrt{3} \\ \hspace{16 pt} =8 \times 1.73205081 \\ \hspace{16 pt} = 13.8564065 \\ \huge \red{ \boxed{\therefore \: d = 13.9 \: inches }}\\$

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3 years ago

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Let theta be an angle in quadrant II such that cos theta = -2/3

Iteru [2.4K]

Answer:

So we have $\csc(\theta)=\frac{3 \sqrt{5}}{5} \text{ and } \tan(\theta)=\frac{-\sqrt{5}}{2}$ .

Step-by-step explanation:

Ok so we are in quadrant 2, that means sine is positive while cosine is negative.

We are given $\cos(\theta)=\frac{-2}{3}(\frac{\text{adjacent}}{\text{hypotenuse}})$ .

So to find the opposite we will just use the Pythagorean Theorem.

$a^2+b^2=c^2$

$(2)^2+b^2=(3)^2$

$4+b^2=9$

$b^2=5$

$b=\sqrt{5}$ This is the opposite side.

Now to find $\csc(\theta)$ and $\tan(\theta)$ .

$\csc(\theta)=\frac{\text{hypotenuse}}{\text{opposite}}=\frac{3}{\sqrt{5}}$ .

Some teachers do not like the radical on bottom so we will rationalize the denominator by multiplying the numerator and denominator by sqrt(5).

So $\csc(\theta)=\frac{3}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}}=\frac{3 \sqrt{5}}{5}$ .

And now $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}=\frac{\sqrt{5}}{-2}=\frac{-\sqrt{5}}{2}$ .

So we have $\csc(\theta)=\frac{3 \sqrt{5}}{5} \text{ and } \tan(\theta)=\frac{-\sqrt{5}}{2}$ .

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3 years ago

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??? Help me with my work pls

serious [3.7K]

Answer:

2. 10 + 5 x 2 $20

3. 10 + 5 x 3 $25

4. 10 + 5 x 4 $30

Hope that helps!

Step-by-step explanation:

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3 years ago

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Which statements are truth about exponential decay and functions ? Check all that apply

Alex787 [66]

there is not enough information

8 0

3 years ago

In FGH, the measure of H=90°, HF = 91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.

Nataly [62]

Answer:

28.8 degrees (rounded)

Step-by-step explanation:

you need to use tan^-1 in order to find x. tan is opposite side / adjacent side.

so...

tan^-1 $^$ (50/91) = 28.78661831

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3 years ago

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Rewrite y=x^2+6x+2 in vertex form​

Rewrite y=x^2+6x+2 in vertex form