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1 answer:
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Answer:
Step-by-step explanation:
Since the divisor of is in the form of
use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
−1| 2 1 0 1
↓ −2 1 −1
__________
2 −1 1 0 →
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [2x³ + x² + 1]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than the leading coefficient of your dividend, so that 2 in your quotient can be a 2x², the −x follows right behind it, and bringing up the rear, 1, giving you the quotient of 2x² - x + 1.
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Answer:
Approximately 201 squared inches.
Step-by-step explanation:
So, the composite figure is made up of a square and a semi-circle. The square has side lengths of 12 and the semi-circle has a radius of 6.
The total area of the figure would be the area of the square plus the area of the semi-circle. Thus, find the area of each individual figure.
Square:
The area of a square is given by:
Where l is the side length.
Substitute 12 for l:
So the square is 144 square inches.
Semi-circle:
The area of a semi-circle is given by:
Substitute 6 for r and 3.14 for π:
Therefore, the total area is: