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:
8x miles
Step-by-step explanation:
- runs with speed 8 mph
- bikes at an average speed of 14 mph
distance = speed * time
Here the speed for run is 8 mph and time is x hours
So distance covered: 8 * x = 8x miles.
x=1
explaination:
2x+3=5x
Subtract 5x from both sides.
2x+3−5x=0
Combine 2x and −5x to get −3x.
−3x+3=0
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
−3x=−3
Divide both sides by −3.
x=
−3
−3
Divide −3 by −3 to get 1.
x=1
Answer:
Percentual change= 33.33% decrease
Step-by-step explanation:
Giving the following information:
Present value (PV)= $150
Future value (FV)= $100
<u>To calculate the percentual change, we need to use the following formula:</u>
Percentual change= [(PV - FV) / PV]*100
Percentual change= [(150 - 100) / 150]*1''
Percentual change= 0.3333*100
Percentual change= 33.33% decrease
<span>Since the h represents the number of hours spent working on the vehicle then the 75 represents the charge per hour for the work, leaving only the 0.08 which stands for the sales tax percentage which is 8% or 0.08 of the product of $75 times the number of hours worked on the car.</span>
