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3 years ago

If the vertex of a parabola is (5.-6), what is the axis of symmetry?

Mathematics

1 answer:

IceJOKER [234]3 years ago

7 0

That is the axis of sym

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An airplane flies at a rate of 356 km/h. the plane travels a total distance of 1424 km. (use distance = rate * time for your equ

frozen [14]

Your distance is 1424 and your rate is 356. As you said, d = r*t. Since you don't have the time you would do 1424 divided by 356. This leaves you with a time of 4 hours. (Don't forget units!)

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3 years ago

Mrs shirman has a bulletin that is 6 feet and 5 feet wide. She has 32 feet of border to go around the edges of the board. Does s

ioda

Yes because the perimeter of the bulletin is 23 feet. this is because to find perimeter you use 2(L)+2(W).

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3 years ago

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

Evaluate the following expression when x=3.<br><br> 2x+7

xxMikexx [17]

Answer:13

Step-by-step explanation:

2 times 3 is 6 so then we add 7 to get 13

6 0

3 years ago

What is the solution to the system of equations? y= -5x + 3 y=1

Scrat [10]

> y(1) = -5x + 3
-3. -3

> -2 = -5x
÷-5. ÷-5

= 0.4 = x

8 0

3 years ago