Answer:
x² + 2x + y² + 4y = 20
(x² + 2x + 1) - 1 + (y² + 4y + 4) - 4 = 20
(x + 2)² + (y + 4)² - 5 = 20
(x + 2)² + (y + 4)² = 25
Therefore, the center is (-2, -4) and the radius is √25 = 5.
Answer:
24%
Step-by-step explanation:
To change a decimal to a percent, all you have to do is move the decimal point 2 times to the right.
0.24 = 24%
Answer:
90 cents
Step-by-step explanation:
Find how much money you have by plugging in 18 as n into the expression:
5n
5(18)
Multiply:
= 90
So, when you have 18 nickels, you have 90 cents
Answer:
(u + 1)(u - 1)(u² + 8)
Step-by-step explanation:
<u>Here is the steps:</u>
- u⁴ + 7u² - 8 =
- u⁴- u² + 8u²-8 =
- u²(u² - 1) + 8(u² -1) =
- (u² - 1) (u² +8) =
- (u + 1)(u - 1)(u² + 8)
Answer:
Only one solution
Step-by-step explanation:
Given that there is a coordinate plane (say xy)
Two lines are given.
One line crosses the y axis at 3 and has a slope of negative 1.
hence equation of I line is y = -x+3
The other line crosses the y axis at 3 and has a slope of two thirds.
So equation is y = 2x/3 +3
Since the two lines lie in the same plane and are having different slopes, they intersect at one point.
Eliminate y to get
-x+3=2x/3+3
Or x=0
y=3
Hence solutionis (0,3) for the system.