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:the function representing profit, P = 3n + 200
Step-by-step explanation:
The function C = 2n + 200 represents his costs, in dollars, for producing n jars of salsa.
The revenue, or the amount he receives for selling n jars, can be represented by the function R = 5n.
Profit = revenue - cost or expenses.
Therefore,
The function representing Dominic's profit, P, for selling n jars of salsa will be
P = 5n - 2n + 200 = 3n + 200
Use the linear slope formula to solve for m:
m=(y2-y1)/(x2-x1)
using the points (-1,1) and (1,5) you can find the slope for the first interval:
m=(5-1)/(1-(-1))
m=4/2
m=2
you can double check by using the same formula on the second interval, which is (1,5) to (3,9).
m=(9-5)/(3-1)
m=4/2
m=2
therefore, the rate of change is 2.
Answer:
1. Statement: <2 and <5 are supplementary. Reason: Given
2. Reason: Vertical
3. Reason: Consecutive interior angles
4. Statement L is parallel to m. Reason: transversal makes equal angles
Have a good day!
