Answer: (-4, -1)
Step-by-step explanation:
Starting at point (-4, -2) and translating 3 units up means we add 3 to -2.
So the new point is now (-4, 1).
Now we reflect over the x-axis which means the y-value of 1 becomes negative.
So the final point is (-4, -1)
Let number=x
(X/2)+6=8
First subtract 6 on each side to isolate X on one side.
(X/2)=2
Now to fully isolate X by itself, just multiply 2 on each side.
X=4
Answer:
180 hours
Step-by-step explanation:
Surfer #1 takes a capsule every 6 hours, but this is also equal to 2 capsules every 12 hours. Surfer #2 takes 1 capsule every 12 hours. Thus, both surfers take a total of 3 capsules every 12 hours.
By dividing 45 total capsules they need to consume by 3, the number of capsules the surfers consume every 12 hour, you get the total number of hours times 12 it takes for them to consume 45 capsules. 45 / 3 = 15, so it takes 15 * 12 hours for them to consume 45 capsules. This is equal to 180 total hours.
Answer:
x^2 + 16x + 60 = 0
Step-by-step explanation:
Add 16x to both sides of the given equation. We get x^2 + 16x + 60 = 0.
