First, a line that is parallel, means a line that has the same slope as the original. To find the slope of the original equation, we have to solve for y.
-2x+3y=-6
3y=2x-6
y=2/3x-2
From this equation, we can see that the slope of the line is 2/3. For every 2 units you go up, you move three units over.
Now we need to use the point (-2,0) to find the equation of the parallel line.
y-y=m(x-x)
Plug in the point coordinates and the slope, and solve for the final equation of the line.
y-0=2/3(x+2)
y=2/3x+ 4/3
Answer:
Rhombus Side = sqr root [(34 / 2)^2 + (30 / 2)^2]
Rhombus Side = sqr root [17^2 + 15^2]
Rhombus Side = sqr root [289 + 225}
Rhombus Side = sqr root [514]
Rhombus Side = 22.6715680975
Rhombus Perimeter = side * 4 = 90.68627239 cm
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
First you have to subtract 8 from 22 and you get -14. Then you rewrite the equation, 2x-14=-2.
Since your subtracting 14 you would add 14 to both sides, so -14+14 and -2+14. -2+14 will turn out to be 12 and then you divide 2 from both sides, so 2x-2 and 12-2.
Your answer will be x=6
The volume of the cube is 54.87 but rounded to the nearest tenth is 54.9
The exact volume of the cylinder is 1770.28 but rounded is 1770.29 and the approximate volume of the cylinder is 1769.36
Answer:
About $1.86
Step-by-step explanation:
It could be rounded to $1.90.