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:
x = 1.89
Step-by-step explanation:
Solve 22 - 10.2 + 25 to get 36.8 as the square's area.
Set up the equation 36.8 = (-10x + 25)^2 to represent the relationship between one side length and the area.
Reverse the equation to solve for x! Find the square root of both sides to cancel out the exponent. This gets you: 6.07 = -10x + 25.
Subtract 25 from both sides, then divide by -10 to get x by itself.
x = 1.89
