Original line equation: y=-4x+4
Perpendicular lines have opposite reciprocals, so the slope of the perpendicular line would be 1/4x.
Perpendicular line equation: y=1/4x+b
Plug in the coordinates that the line passes through to solve for b. Plug -8 in for x and 2 in for y.
2=1/4(-8)+b
Multiply.
2=-2+b
Add 2 to both sides.
4=b
Equation of the perpendicular line: y=1/4x+4
Hope this helps! :)
Answer:
Figure obtained - Cylinder
Surface area of the cylinder is 1224π square units.
Step-by-step explanation:
When a rectangle is rotated about an axis along its largest side, a cylinder having radius 17 and height 19 units is formed.
Surface area of the cylinder = 2πr(h + r)
By substituting r = 17 units and h = 19 units in the given formula,
Surface area = 2π(17)(17 + 19)
= (34)(36)π
= 1224π
Therefore, surface area of the cylinder is 1224π square units.
Answer:
d) ≤
Step-by-step explanation:
The translation of the sum a and n is a+n
