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talia43
06.04.2021 •
Mathematics
A rectangular blanket is 2x + 1 feet wide and 4x - 3 feet longWhat is the area in terms of x?
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Ответ:
3/4
Step-by-step explanation:
So remembering the length times width formula:
Put it in an equation-
(2x+1)(4x-3)
Now start to solve for x:
Multiply using 'foil' method:
(2x+1)(4x-3)
8x -6x + 4x -3
8x -2x -3
Now, factrorize 8x^2 - 2x - 3: (Put a square since this is square measures)
8x^2 - 2x - 3 Sum = -2
Product = -24
Two numbers that give you the sum of -2 and product of -24:
-6 and 4
So now factor out like terms:
8x^2 -6x + 4x -3
2x(4x - 3) + 1(4x - 3)
(2x + 1) (4x-3) = 0
Solve for x in both:
2x + 1 = 0
x = -1/2
4x - 3 = 0
x = 3/4
The area cant be negative so the area in terms of x is:
x = 3/4
(Hope this helped)
Ответ:
xzfernh
Step-by-step explanation: