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antoniya [11.8K]
4 years ago
11

Factor using the grouping method: xy-4y-3x+12

Mathematics
1 answer:
Colt1911 [192]4 years ago
6 0
y(x-4)-3(x-4)= \\\\ =\boxed{(x-4)(y-3)}
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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

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3 years ago
How to solve y = 8x - 9
Alex Ar [27]

Answer:

-72

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