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ramireznoem1031
09.12.2021 •
Mathematics
What is this using Distributive property 6(n + 4)
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Ответ:
6n + 24
Step-by-step explanation:
Ответ:
We find the area of a rectangle by multiplying its length and width:
A = lw
The length is 2 more than the width, or l = w+2:
A = (w+2)(w)
24 = (w+2)(w)
Multiplying this through, we have:
24 = w² + 2w
We want the equation set equal to 0 to solve it, so subtract 24 from both sides:
24 - 24 = w² + 2w - 24
0 = w² + 2w - 24
This is easily factorable, as 6(-4) = -24 and 6 + -4= -2:
0 = (w+6)(w-4)
Using the zero product property, we know either w+6=0 or w-4= 0, so w=-6 or w=4. A negative width makes no sense, so w = 4. This means l = w+2 = 4+2 = 6.