3x -7 = 14
3x - 7 (+7) = 14 (+7)
3x = 21
3x/3 = 21/3
x = 7
hope this helps
K=4
add seven on both sides
2x-4y=7
add 4y on both sides
2x=7+4y
divide 2 on both sides
x=7+4y/2
plug that into original equation
2(7+4y/2)-4y-7=0
7 and 4y cancel out
2(2)=0
4=0
The answer is 16 inches.
Let r be a radius and h be a height of a cylinder
Since the cylinders are similar, then the ratio between their radiuses is equal to the ratio of their heights:
r1 : r2 = h1 : h2
Cylinder A:
r1 = 5.6 in
h1 = ?
Cylinder B:
r2 = 1.4 in
h2 = 4 in
5.6 : 1.4 = h1 : 4
h1 = 4 * 5.6 : 1.4
h1 = 16 inches
First positive number (x) = x
Second positive number (y) = x+3
Product: 180 = x · y
180 = x · (x + 3)
180 = x² + 3x
0 = x² + 3x - 180
0 = (x + 15)(x - 12)
0 = x + 15, 0 = x - 12
x = -15, x = 12
x = -15 is NOT a positive number so it can be disregarded.
Answer: 12
Parellel would mean that it's the same slope, so it's one of the first three. Checking each of them individually, we see that the first one, when you plug in 3, results in 1, getting (3,1)!