Answer:
Slope = 
Step-by-step explanation:
(-9, -8) & (-15 , -16)
Slope = 
![= \frac{-16-[-8]}{-15-[-9]}\\\\= \frac{-16+8}{-15+9}\\\\= \frac{-8}{-6}\\\\= \frac{4}{3}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-16-%5B-8%5D%7D%7B-15-%5B-9%5D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-16%2B8%7D%7B-15%2B9%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-8%7D%7B-6%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B4%7D%7B3%7D)
First thing to do is to move the constant over to the other side of the equals sign. Then we will complete the square on the x terms. We will take half the linear term, square it, then add it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4.

. In the process of completing the square we have created a perfect square binomial on the left which is

. A is our answer.
Answer:
32
Step-by-step explanation:
First, one theorem states that (arc AB - arc AX) / 2 = angle ACB. We know that arc AB is 176, so we have
(176 - arc AX) /2 = ∠ACB
Next, the Inscribed Angle Theorem states that
arc AX/2 = ∠ABX
multiply both sides by 2
56 * 2 = arc AX = 112
Therefore, ∠ACB = (176-112)/2 = 64/2 = 32
Your answer should be 23/80
Answer:
1.8 dishes per minute (Sarah)
1.67 dishes per minute (Sunil)
Step-by-step explanation:
We can find the rate by dividing the number of dishes by the number of minutes:
18/10 = 1.8 dishes per minute
30/18 = 1.67 dishes per minute