14. Because of the somewhat distorted figures, unusual spaces, and lack of proportion, _______ is considered a forerunner of mannerism. A. Hieronymus Bosch's Garden of Earthly Delights B. Quentin Metsys' The Moneylender and his Wife C. Michelangelo's work on the ceiling of the Sistine Chapel D. Tintoretto's The Miracle of St. Mark Freeing the Slave

Because of the somewhat distorted figures, unusual spaces, and lack of proportion, Michelangelo's work on the ceiling of the Sistine Chapel is considered a forerunner of mannerism.

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Asked 4/27/2017 4:05:11 PM

Updated 82 days ago|12/1/2023 5:22:16 PM

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Determine the remainder when (5x3 49x2 74x 6) is divided by (x 8).

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Updated 226 days ago|7/11/2023 12:39:07 AM

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First, let's set up the long division:

________________________

(x + 8) | (5x^3 + 49x^2 + 74x + 6)

5x^2

________________________

(x + 8) | (5x^3 + 49x^2 + 74x + 6)

-(5x^3 + 40x^2)

________________________

9x^2 + 74x + 6

5x^2 + 9x

________________________

(x + 8) | (5x^3 + 49x^2 + 74x + 6)

-(5x^3 + 40x^2)

________________________

9x^2 + 74x + 6

-(9x^2 + 72x)

________________________

2x + 6

Now we bring down the last term from the dividend, which is 6. We now have 2x + 6 as the new dividend. We divide the first term of the new dividend (2x) by the first term of the divisor (x) to get 2. We multiply the divisor (x + 8) by the quotient we obtained (2), and subtract it from the new dividend:

5x^2 + 9x + 2

________________________

(x + 8) | (5x^3 + 49x^2 + 74x + 6)

-(5x^3 + 40x^2)

________________________

9x^2 + 74x + 6

-(9x^2 + 72x)

________________________

2x + 6

-(2x + 16)

________________________

-10

The remainder of the division is -10.

Therefore, the remainder when (5x^3 + 49x^2 + 74x + 6) is divided by (x + 8) is -10.

________________________

(x + 8) | (5x^3 + 49x^2 + 74x + 6)

5x^2

________________________

(x + 8) | (5x^3 + 49x^2 + 74x + 6)

-(5x^3 + 40x^2)

________________________

9x^2 + 74x + 6

5x^2 + 9x

________________________

(x + 8) | (5x^3 + 49x^2 + 74x + 6)

-(5x^3 + 40x^2)

________________________

9x^2 + 74x + 6

-(9x^2 + 72x)

________________________

2x + 6

Now we bring down the last term from the dividend, which is 6. We now have 2x + 6 as the new dividend. We divide the first term of the new dividend (2x) by the first term of the divisor (x) to get 2. We multiply the divisor (x + 8) by the quotient we obtained (2), and subtract it from the new dividend:

5x^2 + 9x + 2

________________________

(x + 8) | (5x^3 + 49x^2 + 74x + 6)

-(5x^3 + 40x^2)

________________________

9x^2 + 74x + 6

-(9x^2 + 72x)

________________________

2x + 6

-(2x + 16)

________________________

-10

The remainder of the division is -10.

Therefore, the remainder when (5x^3 + 49x^2 + 74x + 6) is divided by (x + 8) is -10.

Added 226 days ago|7/11/2023 12:39:07 AM

This answer has been confirmed as correct and helpful.

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