The line has equation
where 
is any real number. 
is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.
To get the symmetric form, we have
Solving for in each equation gives the symmetric form,
The line has intercepts in the coordinate planes wherever either the 
, 
, or 
coordinate is 0.
-plane:
-plane:
-plane:
Step-by-step explanation:
Permutation
:The number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.
Factorial
: There are n! ways of arranging n distinct objects into an ordered sequence.
Considering a situation when n = r in a permutation, nPr reduces to n!, a simple factorial of n.
Proof: 3P3 = 3!
n = 3 and r = 3
But 0! = 1
3P3 = 3!
Answer: 37.68 square inches of paper
Step-by-step explanation:
Hi to answer this question we have to calculate the side area (since the label doesn't cover the top and bottom area)
First, we have to find the circumference.
Circumference (C) = 2 π r
Since:
Diameter = 2 radius
3 = 2r
3/2 =r
r =1.5 inches
Back with the circumference formula
Replacing with the values given:
C = 2 (3.14) 1.5
C= 9.42
Side area = C x heigth = 9.42 x 4 = 37.68 square inches
At what rate does she become more proficient? You didn't mention the pattern
