Answer:
Step-by-step explanation:
Solve for the value of 
:
-Use <u>Distributive Property</u>:
-Take 
and add it to 
:
-Subtract both sides by 
:
-Divide both sides by 
:
Therefore, the value of is 
.
Answer:
- A"(-1, -2)
- B"(6, 0)
- C"(3, 3)
- (x, y) ⇒ (x+1, y+1)
Step-by-step explanation:
Translation vectors add, and the addition is commutative and associative.
__
The first translation adds (-1, 2) to the original coordinates. The second translation adds (2, -1) to the original coordinates. The two translations together add ...
(-1, 2) +(2, -1) = (-1+2, 2-1) = (1, 1)
to the original coordinates.
The single rule representing this translation is ...
(x, y) ⇒ (x +1, y +1)
Then the doubly-translated coordinates are ...
A(-2, -3) ⇒ A"(-1, -2)
B(5, -1) ⇒ B"(6, 0)
C(2, 2) ⇒ C"(3, 3)
We have to calculate the length of a side ( x ) of the rectangle. We know the perimeter of the rectangle: P = 24 ft. Formula for the perimeter of the rectangle is: P = 2 L + 2 W. The width W = 4 ft. So: 24 = 2 * x + 2 * 4; 24 = 2 * x + 8; 2 * x = 24 - 8; 2 * x = 16; x = 16 : 2; x = 8. Answer: The length of side of a rectangle is 8 feet<span>.</span>
The first option 0.65 might be right
