The original line is
4x - 2y = -12
The parallel lines will all be
4x - 2y = constant
and the constant is given by the point directly:
4x - 2y = 4(4) - 2(-4) = 24
2y = 4x - 24
y = 2x - 12
Answer: y = 2x - 12
Answer:
14 and 6
Step-by-step explanation:
Let's start by naming the first number x.
We can name the second number y.
We can set up equations to model our situation.
x+y=2x-8
x-y=2y-4
Let's simplify the equations.
x+y=2x-8
Subtract 2x from both sides
-x+y=-8
__________
x-y=2y-4
Subtract 2y from both sides.
x-3y=-4
Add the two equations together to eliminate x.
x-3y=-4
-x+y=-8
________
0x-2y=-12
-2y=-12
Divide both sides by -2.
y=6
The second number is 6.
Plug that back in.
x+6=2x-8
Subtract x from both sides
6=x-8
Add 8 to both sides
x=14
The first number is 14
Wren's bedroom is 12 feet long x 10 feet wide. She plans to purchase carpet for the entire room. The carpet costs $25 per square meter. What are the dimensions in meters? Round each to nearest tenths place.
There are 3.28084 feet in a meter.
12*3.28084=39.30078
10*3.28084=32.8084
Length:39.3
Width:32.8