The equation of a hyperbola is:
(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1
So what we have to do is to look for the values of the variables:
<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>
<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>
<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>
<span>b^2 = 49 – 9</span>
<span>b^2 = 40
</span>
Therefore the equation of the hyperbola is:
<span>(x^2 / 9) – (y^2 / 40) = 1</span>
Answer:
A prime number is any number that cant be divide by any number but 1 (Ex. 1 2 3 5; Non-Ex. 4 6 8)
Answer:
62.8 inches
Step-by-step explanation:
c = πd
c = 3.14 * 20
c = 62.8 inches
Answer:
Step-by-step explanation:
- x + 75 + x + 125 = 180 as supplementary (same side interior angles)
- 2x + 200 = 180
- 2x = -20
- x = -10
Answer:
10
Step-by-step explanation:
So we have the expression:

First, evaluate within the absolute value bars. 3 times -4 is -12. Thus:

Now, subtract:

The absolute value of -10 is positive 10. So:

And we're done!