Answer:
x = 4(y + 6)/5
Step-by-step explanation:
2x - y = (3/4)x + 6
2x - (3/4)x = y + 6
(8x - 3x)/4 = y + 6
5x/4 = y + 6
5x = 4(y + 6)
5x = 4y + 24
x = (4y + 24)/5
Therefore, x = 4(y + 6)/5
Answer:
The radius of cylinder is 14 inches
Step-by-step explanation:
Given that the volume of cylinder is 196π in² and the height is 1 in . The formula for it is V = πr²h. Then you can substitute the following value into the formula:
V = 196π
h = 1
196π = π × r² × 1
r² = 196π/π
r² = 196
r = 14 in
The middle point of BC is (0,2), the midpoint of CD is (1,0)
to prove two lines are parallel, prove their slopes are the same.
slope of BD: m=rise/run=4/-2=-2 (the run is negative because to get to B from D on the grid, you have to move from right to left, then upward. If the horizontal move is from left to right, the run is positive)
slope of EG: m=rise/run=2/-1=-2
EG and BD have the same slope, so they are parallel.
You know one angle is 90 degrees because they are right triangles. In order to prove CES congruent to RST, you would need two legs, three angles, or a leg and an included angle.
It would be .98 feet or 11.81 inches
