Parallel means they have the same slope.
The given equation has a slope of 3. Slope intercept equation: y = mx + b
a. 6x + 2y = 12
Subtract 6x from both sides.
2y = - 6x + 12
Divide both sides by 2.
y = -3x + 6 Not parallel
b. -3x + y = 8
Add 3x to both sides.
y = 3x + 8 Parallel
c. 3y = 9x
Divide both sides by 3
y = 3x Parallel
d. y = -1/3x Not parallel
B and C are parallel
, 
of the usual price is the savings .
<u>Step-by-step explanation:</u>
Here we have , At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. We need to find What percentage of the usual price is the savings . Let's find out:
Initially we have cost as $80 , in sale it is $12 less i.e.
⇒ 
⇒ 
So , percentage of the usual price is the savings :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒
Therefore , of the usual price is the savings .
<h3>
Answer: 101 revolutions</h3>
========================================================
Explanation:
C = circumference
C = pi*d
C = 3.14*19
C = 59.66
The distance around the wheel's edge is roughly 59.66 inches. This corresponds to the distance the bike travels after the tire spins one full revolution. It might help to imagine that there's wet paint on his tire, and that paint is being transferred to the flat ground.
Let x be the number of revolutions. After those x revolutions happen, the bike has moved forward 59.66x inches. Set this equal to 6000 (because 500 ft = 500*12 = 6000 inches) and solve for x
59.66x = 6000
x = 6000/59.66
x = 100.569896077774
x = 101
After 101 revolutions, Jason has traveled about 500 ft.
Note how x = 100 is too small because 59.66*x = 59.66*100 = 5966 which is 34 inches short of 6000 inches.
And also notice that x = 101 works because 59.66*x = 59.66*101 = 6,025.66 which is over the target mark we're after.
Answer:
36 square feet
Step-by-step explanation:
area of the yard: 12×12=144
patio should be 1/4 of the yard, so 144:4=36 is the area of the patio
