Ask question

Ask question

All categories

3 years ago

13

A hyperbola centered at the origin has a vertex at (3, 0) and a focus of the hyperbola is located at (9, 0). What are the equati

ons of the directrices?
x = Â±

2 answers:

Alborosie3 years ago

8 0

The answer is 1.,.....

frez [133]3 years ago

7 0

It's 1 i agree with the other person because i just took the assignment and got it correct.

You might be interested in

What is the estimated product of 1.39 x 6.76?

qwelly [4]

Answer:

7

Step-by-step explanation:

5 0

3 years ago

Brenna had a gross income of $2158.22 during each pay period in 2010. If she got paid monthly, how much of her pay was deducted

Zepler [3.9K]

FICA stands for Federal Insurance Contributions Act and FICA taxes are deductions from gross earnings at a rate of 7.65%. If Brenna earns monthly at a gross of $2158.22, then her deduction for FICA is $165.10383 which is 7.65% from her gross income ($2158.22 x 0.0765).

8 0

4 years ago

Read 2 more answers

Select the graph of the solution. Click until the correct graph appears.<br><br> | x | + 1 < 3

Marat540 [252]

$-2$

The graph of the equation is attached in the figure below

Step-by-step explanation:

We need to make the graph of the equation: $|x|+1$

Solving the equation:

$|x|+1$

Applying absolute rule: |u|<a, a>0 then -a<u<a

So,

$-2$

The graph of the equation is attached in the figure below.

Keywords: Solving inequalities by Graphs

Learn more about solving inequalities at:

#learnwithBrainly

4 0

3 years ago

Consider the line y = x . If the line is dilated by a factor of 1 3 , what is the equation of the resulting line? If the resulti

ella [17]

Answer:

The resulting equation after dilation: y=x.

The resulting equation after translation: y=x-1.

Step-by-step explanation:

The given equation of line

$y=x$

If a line passes through the center of dilation and dilated by factor k, then the equation of line is remains same.

It is given that the line is dilated by a factor of 1/3. The center of dilation is not given so the center of dilation is (0,0).

At x=0,

$y=0$

It means the line passes through the point (0,0). Since the line passes through the center of dilation, therefore the equation of line is remains same.

$y=x$

The translation is defined as

$y=x+b$

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The resulting line is translated 1 unit down.

$y=x-1$

Therefore, the equation of the resulting line is y=x-1.

3 0

3 years ago

What is the approximate radius of a sphere with a volume of 34 cm3?

xz_007 [3.2K]

Answer:

<h2>2.01 cm</h2>

Step-by-step explanation:

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

<em>R</em><em> - radius</em>

<em />

We have

$V=34\ cm^3$

Substitute:

$\dfrac{4}{3}\pi R^3=34$ <em>multiply both sides by 3</em>

$3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}\pi R^3=(3)(34)$

$4\pi R^3=102$ <em>divide both sides by 4</em>

$\dfrac{4\pi R^3}{4}=\dfrac{102}{4}$

$\pi R^3=\dfrac{51}{2}$ <em>divide both sides by π</em>

$\dfrac{\pi R^3}{\pi}=\dfrac{\frac{51}{2}}{\pi}$

$R^3=\dfrac{51}{2\pi}$ <em>use π ≈ 3.14</em>

$\R^3\approx\dfrac{51}{(2)(3.14)}$

$R^3\approx\dfrac{51}{6.28}\\\\R^3\approx8.121\to R\approx\sqrt[3]{8.121}\\\\R\approx2.01\ cm$

5 0

4 years ago