Answer: 1521
Step-by-step explanation: use the equation pi times radius square. Your radius is always going to be half your diameter so you'll use 22 instead. Then plug that I'm and you should get 1520.53 rounded would be 1521.
Answer:
In step 2, she didn’t use an x and y from the same coordinate pair
Step-by-step explanation:
see the attached figure to better understand the problem
we have the points (5, 1) and (3, 5)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
substitute
step 2
The equation of the line in point slope form is

take the point (3,5)
substitute



step 3

therefore
In step 2, she didn’t use an x and y from the same coordinate pair
Answer:
A), B) and D) are true
Step-by-step explanation:
A) We can prove it as follows:

B) When you compute the product Ax, the i-th component is the matrix of the i-th column of A with x, denote this by Ai x. Then, we have that
. Now, the colums of A are orthonormal so we have that (Ai x)^2=x_i^2. Then
.
C) Consider
. This set is orthogonal because
, but S is not orthonormal because the norm of (0,2) is 2≠1.
D) Let A be an orthogonal matrix in
. Then the columns of A form an orthonormal set. We have that
. To see this, note than the component
of the product
is the dot product of the i-th row of
and the jth row of
. But the i-th row of
is equal to the i-th column of
. If i≠j, this product is equal to 0 (orthogonality) and if i=j this product is equal to 1 (the columns are unit vectors), then
E) Consider S={e_1,0}. S is orthogonal but is not linearly independent, because 0∈S.
In fact, every orthogonal set in R^n without zero vectors is linearly independent. Take a orthogonal set
and suppose that there are coefficients a_i such that
. For any i, take the dot product with u_i in both sides of the equation. All product are zero except u_i·u_i=||u_i||. Then
then
.
Answer:
the y intercept is 4
Step-by-step explanation:
the 4 is where the line starts so it would be (0,4)
(3/20)^3
27/8000
..............