If the area around the vegetable garden is of uniform width (labeled with x) and the dimensions of the vegetable garden is 45 fe
et by 20 feet, what expression represents the area of the flower garden?
Make sure to show all of your steps in your answer, including the area of the vegetable garden and the area of the entire garden.
Make sure to show all of your steps in your answer, including the area of the vegetable garden and the area of the entire garden.
1 answer:
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Answer:
Step-by-step explanation:
<u>Complete Question:</u>
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m. With each swing, she travels along an arc that is half as long as the arc of the previous swing. Which expression gives the total length the monkey swings in her first n swings?
<u>Solution:</u>
First Swing:
24 m
Second Swing:
Half of first, so
24(1/2)
Third Swing:
Half of second, so:
24(1/2)(1/2)
Fourth Swing:
24(1/2)(1/2)(1/2)
So we see the general formula as:
<u>Note:</u> n -1 because (1/2) plays a role from second swing, which is n - 1
where n is the number of swings
Answer:
Step-by-step explanation:
Since the divisor of is in the form of
we use what is called Synthetic Division. Now, in this formula, −c gives the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 1 −17
↓ 4 20
_________
1 5 3 →
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + x - 17]. 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 your dividend, so that 1 in your quotient can be an x, the 5 follows right behind it, and bringing up the rear, giving you the quotient of
However, in this case, since you have a remainder of 3, this gets set over the divisor.
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