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Dahasolnce [82]
2 years ago
6

This hyperbola is centered at the origin. Find its equation. Foci: (-9,0) and (9,0) Vertices: (-2,0) and (2,0)

Mathematics
1 answer:
pashok25 [27]2 years ago
6 0

Answer:

Step-by-step explanation:

focus distance=9

a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77

\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\

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Consider a prism with a height of 8 inches and a 14-inch by 14-inch square base, and a cylinder with a height of 10 inches and a
vekshin1

Answer:

782.5inch³

Step-by-step explanation:

<u>The question is on volume of a prism and that of a cylinder</u>

<u>Finding the volume of the prism</u>

V=Bh where B is the base area and h is the height

Base area=14"×14"=196 inch²

height =8"

v=196×8= 1568 in³

<u>Finding volume of the cylinder</u>

v=\pir²h where r is the radius of cylinder and h is the height of cylinder

r=10/2=5 inches and h=10 inches

v=3.142×5×5×10=785.5inch³

<u>The difference in volume</u>

Difference in volume=1568-785.5=782.5inch³

5 0
2 years ago
Write an equation and solve:
Lana71 [14]

Answer:

equation ---> 120+10(m)=150+4(m)

m= number of months

(By the way the answer would be 5 months)

Step-by-step explanation:


8 0
3 years ago
Write the base and power of each of the following exponent.<br>(-23/56)^6​
gayaneshka [121]

Answer:

-191.10

Step-by-step explanation:

When you divide 56/23 you get 2.4, 2.4 is negative.

Multiply 2.4 6 times

&

2.4^6.

You get -191.10.

I am probably wrong but I tried.

5 0
3 years ago
What is the value of   ?
azamat
Sure! So this is ready as "the cube root of 125". This basically means, "what number cubed can get me 125?"
Let's go through our options.
We can rule out D, as D cubed would be unreasonably big.
We can also rule out C, because 375 cubed is easily over 10000, you know this even if you haven't computed it all, just compute the 300 cubed.
We can rule out B, too. 41 squared is already over 125, therefore it can't be the answer.
Therefore our answer is A, 5. We can check that by cubing 5, and that indeed gets us 125.
Hope this helps!
4 0
3 years ago
Read 2 more answers
Find the standard form of the equation of the parabola with a focus at (0, 2) and a directrix at y = -2.
Paul [167]

Answer:

D. y = one divided by eightx2

Step-by-step explanation:

The standard form of the equation of the parabola with a focus at (0, 2) and a directrix at y = -2 is y = one divided by eightx2.

3 0
2 years ago
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