Answer:
The second graph near the bottom with a Y-intercept of -1
Answer:
lines b and c are perpendicular
Step-by-step explanation:
Use slope
slope for parallel is the same
slope for perpendicular is negative reciprocal
line a slope- 1-3/-2-0 is -2/-2 or 1
line b slope- 1-4/4-6 is -3/-2 or 3/2
line c slope- 3-1/1-4 is 2/-3 or - 2/3
none are the same so none are parallel
- 2/3 is the negative reciprocal of 3/2 so lines b and c are perpendicular
let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
Answer:
the answer is d 840
Step-by-step explanation:
