Answer:
y+2 = 2(x+2)
Step-by-step explanation:
given point (a,b) and slope m, point slope form of a line is:
y-b = m(x-a)
A) 4a - 3b + 2c
4(2, -1, 5) - 3(4, 3 , -2) + 2(5, 4, 0) = (8, -4, 20) - (12, 9, - 6) + (10, 8, 0) =
= (8 - 12 + 10 , -4 - 9 + 8 , 20 + 6 + 0) = (6, - 5, 26)
Answer: (6, - 5, 26)
b) magnitude of vector b

c) vector of length 7 parallel to vector c
=> m(5,4,0) = (5m,4m,0)
=>

=> m = 7 / √41 ≈ 1.093
=> 1.093 (5, 4, 0) = (5.465 , 4.372, 0)
Answer: (5.465 , 4.372 , 0)
Answer:
7.41
Step-by-step explanation:
Vertical component:
S = 268.8
U = 0
V =?
A = 9.8
T=?
S = ut + 0.5at^2. u = 0
268.8 = 0.5x9. 8xt^2
T = 7.41 seconds
Answer:
(A)398 cubic inches
Step-by-step explanation:
Given a cylindrical piece of iron pipe with the following dimensions:
- Height = 12 inches
- Diameter = 8 inches
Therefore: External radius =4 Inches
Since the wall of the pipe is 0.75 inch thick,
Internal Radius =4-0.75 =3.25 Inches
Volume of a Cylinder = 
Inside Volume of the Pipe

The correct option is A.
Answer:
All real numbers except for 5.
Step-by-step explanation:

The domain of rational functions is determined by the denominator. The denominator cannot equal zero since if they do, the function will be undefined.
Thus, we need to find the zero(s) of the denominator to determine the domain.


Therefore, the domain of the rational function is all real numbers except for 5.
In set builder notation, this is:
