Answer: Parallel: y=-2/7x-2 1/7 Perpendicular: y=7/2x+13
Step-by-step explanation:
2x+7y=14
Subtract 2x from both sides.
7y=-2x+14
Divide both sides by 7 to isolate y.
y=-2/7x+2
Parallel:
Plug in x and y with same slope as the original.
-1=-2/7(-4)+b
Solve for b:
-1=8/7+b
-2 1/7=b
y=-2/7x-2 1/7
Perpendicular:
Plug in x and y with the negative inverse of the original slope.
-1=7/2(-4)+b
Solve for b.
-1=-28/2+b
-1=-14+b
13=b
y=7/2x+13
<span>-9 divided by 5/8 equals
-9 / (5/8) <---</span><span>Turn the second </span>fraction<span> upside down, then multiply.
= -9 * 8/5
= -72/5
= -14 2/5
= -14.4</span>
Slope = (y2 - y1)/(x2 - x1) = (-61 - (-37))/(-32 - (-26)) = (-61 + 37)/(-32 + 26) = -24/-6 = 4
Therefore, slope = 4
The answer is $17.75, though usually the taxi company will pay for gas that the driver uses.
Answer:
a) 3/2 or 1.5
b) 2/3 or ≈.66
Step-by-step explanation:
AB corresponds to DE because they are both the longest sides of their respective triangles.
a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5
b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66