Ratio can be simplified by dividing both sides of the ratio by Highest Common Factor The highest common factor is the largest number that goes into both numbers of your ratio. example
Simplify 15 : 9
Ratio 15 : 9 Factors of 15 1 , 3 , 5 , 15 Factors of 9. 1 , 3 , 9 Greatest Common Factor (G.C.F)3 Divide both by G.C.F 15 ÷ 3 = 5
9 ÷ 3 = 3 Ratio in simplest form 5 : 3
Answer:
(3, 4)
Step-by-step explanation:
vertex is (h, k)
this equation is written in the form of
y = a(x -h) +k
which is why the vertex is (3, 4)
Answer:
1000
Step-by-step explanation:
x = 1, y = -1, and z = 2
Hi there! :)

Find the perimeter by solving for y.
We know that a rectangle contains two pairs of parallel and congruent sides, therefore:
5y - 1 = 2y + 8
We can solve for y using this expression. Begin by subtracting 2y from both sides:
5y - 2y - 1 = 2y - 2y + 8
3y - 1 = 8
Add 1 to both sides:
3y - 1 + 1 = 8 + 1
3y = 9
Divide both sides by 3:
y = 3
Recall that the perimeter of a rectangle is:
P = 2l + 2w
Plug in the given expressions for the side lengths to find one equation:
P = 2(5y - 1) + 2(y - 1)
Simplify by distribution:
P = 10y - 2 + 2y - 2
Combine like terms:
P = 12y - 4
Plug in the solved value of y into this equation:
P = 12(3) - 4
P = 36 - 4
P = 32 cm.