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 system has an infinite set of solutions 
Step-by-step explanation:
From the first equation:




Replacing on the second equation:




This means that the system has an infinite number of solutions, considering:



The system has an infinite set of solutions 
____________________________False
Answer:
B.
Step-by-step explanation:
Well, since these are rectangles, and both have 2 measurements, it would be quite simple, you must find how 9 and 15 are similar, then see if that same similarity is found within the 3 and the 5.
the answer is yes, they are similar because...
9×1 1/3=15
and
3× 1/3=5
therefore they are similar.
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