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Natasha_Volkova [10]

3 years ago

11

Write two equivalent fraction 2/6

1 answer:

NeX [460]3 years ago

7 0

Two fractions equivalent to 2/6 are...

1/3 and 4/12

Hope this helps!! :)

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Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (–10, 6), (4, 6).

fomenos

Answer:

$\frac{(x--3)^2}{49} -\frac{(y-6)^2}{32}=1$

Step-by-step explanation:

The standard equation of a horizontal hyperbola with center (h,k) is

$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is $2a=|4--10|$ .

$\implies 2a=|14|$

$\implies 2a=14$

$\implies a=7$

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is $(\frac{-10+4}{2},\frac{6+6}{2}=(-3,6)$

We need to use the relation $a^2+b^2=c^2$ to find $b^2$ .

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

$c=|6--3|=9$

$\implies 7^2+b^2=9^2$

$\implies b^2=9^2-7^2$

$\implies b^2=81-49$

$\implies b^2=32$

We substitute these values into the standard equation of the hyperbola to obtain:

$\frac{(x--3)^2}{7^2} - \frac{(y-6)^2}{32}=1$

$\frac{(x+3)^2}{49} -\frac{(y-6)^2}{32}=1$

7 0

3 years ago

HELP ASAPPPPP!!!! PLZ

disa [49]

Answer:

y=1/2x+2

Step-by-step explanation:

6 0

3 years ago

The line plot shows the number of points scored by Josh in his basketball games. How many games did Josh score less than four po

-Dominant- [34]

Answer:

Step-by-step explanation:

5 0

3 years ago

What is equivalent to <img src="https://tex.z-dn.net/?f=%283%5E6%293" id="TexFormula1" title="(3^6)3" alt="(3^6)3" align="absmid

kherson [118]

For this case we must indicate an expression equivalent to:

$(3 ^ 6) ^ 3$

For properties of powers we have to:

$(a ^ n) ^ m = a ^ {n * m}$

So, the above expression can be rewritten as:

$(3 ^ 6) ^ 3 = 3^{6*3} = 3^{18}$

Thus, the resulting expression is: $3^{ 18}$

Answer:

$3^{ 18}$

Option D

8 0

3 years ago

A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain?

Flauer [41]

The domain will be x>0 because their cannot be negative people or negative cost of living per person.

4 0

3 years ago