Answer:
Step-by-step explanation:
58.6667
Answer:
When the price of a good that complements a good decrease, then the quantity demanded of one increases and the demand for the other increases. When the price of a substitute good decreases, the quantity demanded that good increases, but the demand for the good that it is being substituted for decreases.
C. The graph g(x) = x − 7 is the result of translating the graph of f(x) = x + 3 down 10 units.
Sure hope this helps you and good on whatever math test or exam is coming up soon!! :D
The perimeter of a rectangle = 2(l + w)
l = length
w = width
In this problem,
w = x
l = x + 30
the perimeter = 148
Let's plug our values into the perimeter formula above.
148ft = 2(x + x + 30ft)
Combine like terms.
148ft = 2(2x + 30ft)
Distribute the 2
148ft = 4x + 60
Subtract 60 from both sides
88ft = 4x
Divide both sides by 4
22ft = x
The width = x = 22ft
The length = x + 30 = 22 + 30 = 52ft
Answer:
HK = 20
Step-by-step explanation:
LM = (1/2) HK {Mid point theorem}

2*(10x - 90) = 10x - 80
2*10x - 2*90 = 10x - 80
20x - 180 = 10x - 80 {add 180 to both sides}
20x = 10x - 80 + 180
20x = 10x +100 {Subtract 10x from both sides from }
20x -10x = 100
10x = 100
x = 100/10
x = 10
HK = 10x - 80
= 10*10 - 80
= 100 - 80
= 20