Peyton started the month with $346.19, spent $147.95 during the month, and ended up with $198.34. If Peyton made no deposits during the month, then $147.95 represents the sum of his expenditures during the month.
Answer:
4.17
Step-by-step explanation:
Answer:
1.
2. 
Step-by-step explanation:
1. The area of a hexagon is A = 
Here our a is 4, so plugging in 4 to our equation gives
which simplifies to 
2. The area of an octagon is 
Here our r is 9, so plugging in 9 to our equation gives
which simplifies to 
Answer:
xy = 1
k = 79
Step-by-step explanation:
Question One
The first and third frames look to me to be the same. I'll treat them that way.
y = x^2 Equate y = x^2 to the result of 2y + 6 = 2x + 6
2y + 6 = 2(x + 3) Remove the brackets
2y + 6 = 2x + 6 Subtract 6 from both sides
2y = 2x Divide by 2
y = x
Now solve these two equations.
so x^2 = x
x > 0
1 solution is x = 0 from which y = 0. This won't work. x must be greater than 0. So the other is
x(x) = x Divide both sides by x
x = 1
y = x^2 Put x = 1 into x^2
y = 1^2 Solve
y = 1
The second solution is
(1,1)
xy = 1*1
xy = 1
Answer: A
Question Two
square root(k + 2) - x = 0
Subtract x from both sides
sqrt(k + 2) = x Square both sides
k + 2 = x^2 Let x = 9
k + 2 = 9^2 Square 9
k + 2 = 81
k = 81 - 2
k = 79
Answer: 
Step-by-step explanation:
Given
The scale factor of two similar hexagons is 5:12.
The smaller hexagon has an area of 24 square units
we know, the ratio of two similar figures is equal to the square of the scale factor.
Suppose the area of the larger hexagon is A
![\therefore \dfrac{24}{A}=\left[\dfrac{5}{12}\right]^2\\\\\Rightarrow A=\left[\dfrac{12}{5}\right]^2\times 24\\\\\Rightarrow A=138.24\ \text{square units}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Cdfrac%7B24%7D%7BA%7D%3D%5Cleft%5B%5Cdfrac%7B5%7D%7B12%7D%5Cright%5D%5E2%5C%5C%5C%5C%5CRightarrow%20A%3D%5Cleft%5B%5Cdfrac%7B12%7D%7B5%7D%5Cright%5D%5E2%5Ctimes%2024%5C%5C%5C%5C%5CRightarrow%20A%3D138.24%5C%20%5Ctext%7Bsquare%20units%7D)