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andreev551 [17]
3 years ago
13

What number must you add to complete the square?

Mathematics
1 answer:
eimsori [14]3 years ago
8 0

Answer:

36

Step-by-step explanation:

x^2 + 12 x  = 40

To complete the square, take the coefficient of the x term

12

Divide by 2

12/2 = 6

Square it

6^2 = 36

Add 36 to each side

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a rectangle has an area of x2+8x+15 square meters and a width of x+3 what expression represents the length of the rectangle
anzhelika [568]

Answer:

1x + 5

Step-by-step explanation:

Since the area of a rectangle of width w and length l is A = l*w,

length = Area / Width.

Here,                             x^2 + 8x + 15

length of rectangle  = ----------------------

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Use synthetic division to perform the above.  The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).

-3      /  1        8        15

                    -3        -15

        -------------------------

            1         5        0

Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic.  This factor, representing the length of the rectangle, is 1x + 5.

Next time, kindly share the answer choices.  Thank you.

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Callie solved this one-variable equation. When she was done, she tried to verify her answer, but found that it was wrong. Can yo
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