Answer:
a = -5
Step-by-step explanation:
15 - a = 20
Move the constant of 15 to the other side by subtracting it.
-a = 5
Divide by -1 to make a positive.
a = -5
Check.
15 - (-5) = 20
15 + 5 = 20
20 = 20
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.
Learn more about perimeter here:
brainly.com/question/13023749
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Answer:
b = 
Step-by-step explanation:
To clear the radicals square both sides
=
( cross- multiply )
(6 - a)(8 + b) = b - 7 ← expand factors on left using FOIL
48 + 6b - 8a - ab = b - 7 ( subtract 48 from both sides )
6b - 8a - ab = b - 55 ( add 8a to both sides )
6b - ab = b - 55 + 8a ( subtract b from both sides )
6b - ab - b = 8a - 55, that is
5b - ab = 8a - 55 ← factor out b from each term on the left side )
b(5 - a) = 8a - 55 ← divide both sides by (5 - a)
b = 