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Elza [17]
3 years ago
6

I got this far in my working out and am already stuck. have i gone wrong?

Mathematics
1 answer:
Kipish [7]3 years ago
6 0

Yes, you made an algebraic error. By multiplying 18 x 4, you messed up on order of operations.

(x+9)(x+2)*4

becomes:

(x^2+11x+18)*4

= 4x^2 + 44x + 72


anyway, this is how I would do this problem:

(x+9)(x+2)(4) = 912

(x+9)(x+2) = 228

x^2 + 11x + 18 = 228

x^2 + 11x - 220 = 0

(x+21)(x-10) = 0

x = -21 or 10

The dimensions can't be negative, so we only use x = 10

The dimensions are then 10+9, 10+2, 4

or 19, 12, 4

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Answer:

The value of k =3

Step-by-step explanation:

x^2+y^2-6y-12=0 We need to solve this equation to become in standard form to find the value of k.

x^2+y^2-6y-12=0\\x^2+y^2-6y = 12\\(x)^2 +(y^2-2(y)(3)+(3)^2) = 12 +(3)^2\\(x)^2+(y-3)^2 = 12+9\\(x)^2 +(y-3)^2 = 21

The given standard form is:

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Comparing it with (x)^2 +(y-3)^2 = 21

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