25x² + 9y² + 72y - 81 = 0
25x² + 9y² + 72y - 81 + 81 = 0 + 81
25x² + 9y² + 72y = 81
25x² + 9(y² + 8y + 16) = 81 + 9(16)
25x² + 9(y² + 4y + 4y + 16) = 81 + 144
25x² + 9(y(y) + 4(y) + 4(y) + 4(4)) = 225
25x² + 9(y(y + 4) + 4(y + 4)) = 225
25x² + 9(y + 4)(y + 4) = 225
<u>25x²</u> + <u>9(y + 4)²</u> = <u>225</u>
225 225 225
<u> x²</u> + <u>9(y + 4)²</u> = 1
25 25
The conic section is an ellipse.
Answer:
x < 6
Step-by-step explanation:
1) -5x > -30
2) divide both sides by -5
3) flip the sign as we divided inequality by a negative
4) x < 6
Answer:
480.61g S
Step-by-step explanation:
I'm not sure what you meant in the parenthesis though. If you want the answer sig-figged it would be 481 g S. My work is attached, hope it helps!
Answer: 35, 209, 171
Step-by-step explanation: hope i helped
The function
f(x) is even
g(x) is neither even nor odd
h(x) is odd
Steps:
for an even function it holds that f(-x) = f(x):
f(-x) = (-1)^6 x^6 - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even
for an odd h(x) it holds that h(-x) = -h(x):

It is easy to show that g(x) does not match any of the two possibilities above.