You are given the equation 36 = 9x² + 4y². You are asked to find the slopes of the asymptotes of the hyperbola. A hyperbola has the following general equation x²/a² + y²/b² = 1. the goal here is to find the slopes of the hyperbolic equation. So divide both sides by 36
36 = 9x² + 4y²
(1/36)[36 = 9x² + 4y²]
1 = x²/4 + y²/9
a² = 4
a = 2
and
b² = 9
b = 3
To find the slope, divide a/b and you will get 2/3.
Answer:
the answer would be 146
Step-by-step explanation:
1) Formula for the percent of error:
[estimated measure - real measure]
Percent of error = ---------------------------------------------------- x 100
real measure
2) Calculations:
[95 - 91]
Percent error = --------------- x 100 = 4.4 %
91
Answer: 4.4%
Answer:
(8,-3)
Step-by-step explanation:
The given parabola is

We factor -3 from the first two terms to get:

Add and subtract the square of half the coefficient of x


We simplify to get:

We compare this to y=a(x-h)²+k,
The vertex is (h,k)=(8,-3)
I'm assuming the problem is nine to the third power divided by nine to the ninth power, so the answer would be 0.000001882. Fraction form would be 1/531441.
Sorry about the first answer, I read the problem wrong.