Charlie measured his room and found that it was 10 1/2 feet in length and 7 1/4 feet wide. His brother's room has the same width
1 answer:
Answer:
Length of Charlie's brother's room = 8 2/5 feet
Area of Charlie's brother's room = 60 9/10 feet²
Step-by-step explanation:
Width Charlie's room = 7 1/4 = (7 x 4 +1)/4 = 29/4 feet
Length Charlie's room = 10 1/2 = (10 x 2 +1)/2 = 21/2 feet
Length brother's room = 4/5 x 21/2 = (4 x 21)/(5 x 2) = 84/10 = 8 2/5 feet
Area = Length x Width = (42/5 x 29/4) feet² = 1218/20 feet² = 60 9/10 feet²
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The division of the polynomial 9x² - 6x - 8 by the polynomial 3x + 2 gives a quotient of 3x - 4 with no remainder
<h3>How to carry out the long division?</h3>The given parameters are:
- Dividend = 9x² - 6x - 8
- Divisor = 3x + 2
To carry out the division, we continue dividing the leading term of the dividend by the leading term of the divisor
At the end of each division step, the quotient is multiplied by the divisor and the result of the product is subtracted from the dividend.
Using the above step, the result of the division is:
Quotient = 3x - 4
Remainder = 0
See attachment for the steps of the long division
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