Answer:
The answer is 3.
Explanation:
Factors of 18:
1, 2, 3, 6, 9, 18.
Factors of 21:
1, 3, 7.
The highest number that both sets contain is 3, so the GCF will be 3.
The length of the fencing is 62.4 feet.
The width of the fencing is 17.6 feet.
Given,
The measurement of the Christmas garland = 160 feet
The width of the fencing = w
The length of the fencing, l = 4w - 8
We have to find the length and width of the fencing.
Here,
Perimeter can be taken as 160. Because garland will cover the entire fencing.
Perimeter = 2(l + w)
160 = 2(4w - 8 + w)
160 = 2(5w - 8)
160/2 = 5w - 8
80 + 8 = 5w
88/5 = w
width = 17.6 feet
Now,
l = 4w - 8
l = 4 × 17.6 - 8
l = 70.4 - 8
length = 62.4 feet
That is,
The length of the fencing is 62.4 feet.
The width of the fencing is 17.6 feet.
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Answer:
y = (5/27)(x -7)^2 -5/3
Step-by-step explanation:
Use the given points to find the unknowns in the equation.
If the axis of symmetry is x=7, then the equation can be written in the form ...
y = a(x -7)^2 +b
Filling in the two point values, we have two equations:
0 = a(4 -7)^2 +b ⇒ 9a +b = 0
5 = a(1 -7)^2 +b ⇒ 36a +b = 5
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Subtracting the first equation from the second, we have ...
(36a +b) -(9a +b) = (5) -(0)
27a = 5
a = 5/27
Substituting that value into the first equation gives ...
9(5/27) +b = 0
5/3 +b = 0
b = -5/3
So, the quadratic can be written in vertex form as ...
y = (5/27)(x -7)^2 -5/3