Answer:
perpendicular slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (6, - 6) and (x₂, y₂ ) = (- 1, - 3)
m =
=
= - 
Given slope m then the slope of a perpendicular line is
= -
= -
= 
Answer:

Step-by-step explanation:
Given:
The radius of a cylindrical gift box = 
The height of the gift box is three times the radius.
Question asked:
What is the surface area of the cylinder ?
Solution:
The height of the gift box is three times the radius means,

Now, surface area of the cylinder = 
\\=8\pi x+2\pi(16x+4)\\=8\pi x+32\pi x+8\pi\\=40\pi x+8\pi\\=8\pi(5x+1) \ Taking \ common](https://tex.z-dn.net/?f=%3D2%5Cpi%5B4x%2B1%5D%284x%2B1%2B12x%2B3%29%5C%5C%3D8%5Cpi%20x%2B2%5Cpi%2816x%2B4%29%5C%5C%3D8%5Cpi%20x%2B32%5Cpi%20x%2B8%5Cpi%5C%5C%3D40%5Cpi%20x%2B8%5Cpi%5C%5C%3D8%5Cpi%285x%2B1%29%20%5C%20Taking%20%5C%20common)
Therefore, surface area of the cylinder is
.
It will be a 2,315.25
2000*5%=2100
2100*5%=2205
2205*5%=2,315.25
Answer:
1/2
Step-by-step explanation:
x = t² + 2t
dx/dt = 2t + 2
y = t² + 1
dy/dt = 2t
dy/dx = (dy/dt) / (dx/dt)
dy/dx = 2t / (2t + 2)
dy/dx = t / (t + 1)
At t = 1, dy/dx = 1/2.
Answer:
107cm
Step-by-step explanation:
The the answer is 107 because you have to add up all of the numbers.