Answer: 
Center = (2, 3) radius = 
<u>Step-by-step explanation:</u>
When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:
(x-h)² + (y-k)² = r² where
- (h, k) is the vertex
- r is the radius
1) Group the x's and y's together and move the number to the right side
4x² - 16x + 4y² - 24y = -51
2) Factor out the 4 from the x² and y²
4(x² - 4x ) + 4(y² - 6y ) = -51
3) Complete the square (divide the x and y value by 2 and square it)
![4[x^2-4x+\bigg(\dfrac{-4}{2}\bigg)^2]+4[y^2-6y+\bigg(\dfrac{-6}{2}\bigg)^2]=-51+4\bigg(\dfrac{-4}{2}\bigg)^2+4\bigg(\dfrac{-6}{2}\bigg)^2](https://tex.z-dn.net/?f=4%5Bx%5E2-4x%2B%5Cbigg%28%5Cdfrac%7B-4%7D%7B2%7D%5Cbigg%29%5E2%5D%2B4%5By%5E2-6y%2B%5Cbigg%28%5Cdfrac%7B-6%7D%7B2%7D%5Cbigg%29%5E2%5D%3D-51%2B4%5Cbigg%28%5Cdfrac%7B-4%7D%7B2%7D%5Cbigg%29%5E2%2B4%5Cbigg%28%5Cdfrac%7B-6%7D%7B2%7D%5Cbigg%29%5E2)
= 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²
= 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)
= 4(x - 2)² + 4(y - 3)² = -51 + 16 + 36
= 4(x - 2)² + 4(y - 3)² = 1
4) Divide both sides by 4
- (h, k) = (2, 3)
Answer: 19 minutes
Step-by-step explanation:
Here is the complete question:
takes Andrew 720 seconds to take a shower. He spends an additional 420 seconds eating breakfast.
How many minutes does it take Andrew to take a shower and eat breakfast?
From the question, we are told that Andrew spends 720 seconds to take a shower and also spends an additional 420 seconds eating breakfast. The total time spent by Andrew will be:
= 720 seconds + 420 seconds
= 1140 seconds
We will then convert 1140 seconds to minutes. We should note that 60 seconds = 1 minute. Therefore,
1140 seconds = 1140/60
= 19 minutes
Andrew uses 19 minutes to take a shower and eat breakfast.
Answer:
BE=AD
Step-by-step explanation:
Answer:
V(t) = 14,000(0.89)^t
Step-by-step explanation:
Present value of the Dodge Challenger = $14,000
Present percentage value = 100%
Depreciation value = 11%
Number of years = t
Future value = V(t)
V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t
= 14,000(100% - 11%)^t
= 14,000(89%)^t
= 14,000(0.89)^t
V(t) = 14,000(0.89)^t
A gardener has 8 pounds of fertilizer. He packs the fertilizer into 5/8 pound bags. What is the maximum number of 5/8 pound bags he can pack?
so first you multiply 8 pounds times 5 from 5/8 which is 40/8 pounds bags
now how many 8s can fit in 40
40 divided by 8 =5
so he can pack 5 maximum bags
