Answer:
(y + 5) = -7(x + 3)
Step-by-step explanation:
Point Slope Form: (y - y1) = m(x - x1)
<u>Step 1: Find Slope</u>
m = ![\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D)
m = ![\frac{-19 - (-5)}{-1 - (-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B-19%20-%20%28-5%29%7D%7B-1%20-%20%28-3%29%7D)
m = ![\frac{-19 + 5}{-1 + 3}](https://tex.z-dn.net/?f=%5Cfrac%7B-19%20%2B%205%7D%7B-1%20%2B%203%7D)
m = ![\frac{-14}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-14%7D%7B2%7D)
m = -7
<u>Step 2: Put into point slope form</u>
Point Slope Form: (y - y1) = m(x - x1)
(y - (-5)) = -7(x - (-3))
(y + 5) = -7(x + 3)
A) 3 centerpieces per hour because 15/5 = 3
b) 14 hours, because 3 goes into 42 14 times exactly.
Hope this helps!
Answer:
225.5$
Step-by-step explanation:
Answer:
9(p + 4)
Step-by-step explanation:
One of the unknown variable is p.
First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).
Translating the word problem into an algebraic expression, we have;
9 * (p + 4) = 9(p + 4)
Simplifying further, we have;
9p + 36
Answer:
, 3, 5 are the prime factors of 60.
Step-by-step explanation:
![60 = 2 \times 2 \times 3 \times 5 \\ = {2}^{2} \times 3 \times 5 \\](https://tex.z-dn.net/?f=60%20%3D%202%20%5Ctimes%202%20%5Ctimes%203%20%5Ctimes%205%20%5C%5C%20%20%3D%20%20%7B2%7D%5E%7B2%7D%20%20%5Ctimes%203%20%5Ctimes%205%20%5C%5C%20)