<span>For a rotation of 90o: (x, y) ⇒ (–y, x)
T(3,4) ⇒⇒⇒ T'(-4,3)
W(-2,-1) ⇒⇒⇒ W'(1,-2)
x(-3,3) ⇒⇒⇒ x'(-3,-3)
see the attached figure
</span>
The number of shelves stephen can make is approximately 27
<h3><u>Solution:</u></h3>
Given that Stephen makes wooden shelves for his room
Stephen wants to make the shelves 3/4 foot long
He starts with a board that is 20 feet long
To find: number of shelves he can make
So the number of shelves stephen can make can make is found out by dividing 20 feet long board by 3/4 foot long


So the number of shelves stephen can make is approximately 27
Answer:
The cost of the tile for the kitchen is $1,680
Step-by-step explanation:
step 1
we know that
The scale drawing is 
The dimensions of the kitchen in the blueprint are
L=3(1/4)=3/4 in
W=5(1/4)=5/4 in
step 2
Find the actual dimensions of the kitchen
Divide the dimensions of the kitchen in the blueprint by the scale drawing
L=(3/4)/(1/16)=12 ft
W=(5/4)/(1/16)=20 ft
The area is equal to
A=(12)(20)=240 ft²
step 3
Find the cost of the tile for the kitchen
7(240)=$1,680
Answer:
C
Step-by-step explanation:
The inverse of a matrix is the transpose of the cofactor matrix, divided by the determinant. The determinant is (4)(3) -(1)(-5) = 17, eliminating choice B.
In a 2×2 matrix, the transpose of the cofactor matrix swaps the diagonal elements, and negates the off-diagonal elements. That is, the transpose of the cofactor matrix will look like the matrix of B. When that is divided by 17, you get the matrix of answer choice C.