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yan [13]
2 years ago
7

Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units?

Mathematics
1 answer:
blsea [12.9K]2 years ago
3 0

Answer:

(x+4)^2 + (y-9)^2 = 25

Step-by-step explanation:

We can use the equation (x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center is at (-4,9) and the diameter is 10 which means the radius is 10/2 or 5

(x- -4)^2 + (y-9)^2 = 5^2

(x+4)^2 + (y-9)^2 = 25

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The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible val
Dvinal [7]

Let width be W


Then length = 5W

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Then the Perimeter  of the rectangle is equal to

(2L+2W)< 96

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Therefore, 2w+2⋅(5w)≤96


should be your answer


8 0
3 years ago
The population of a bacteria sample doubles every 6 hours. How long would it take for the population to triple?
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The way to solve this question is to essentially reverse the equation I used in the other answer.


I would solve this with some theoretical values. If you start with 3, how long would it take for it to triple, or reach 9.


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When placed into an algebra calculator, the answer should be about 9.5 hours

8 0
3 years ago
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Find the arc length of the semicircle. 7the grade
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the diameter of that circle is 10, so its radius is half that, or 5.


\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ \theta =180\\ r=5 \end{cases}\implies s=\cfrac{(180)(\pi )(5)}{180}\implies s=5\pi \stackrel{\pi =3.14}{\implies s=15.7}

3 0
3 years ago
If m&lt; BOE = 130 degrees and m&lt; cob = 80 degrees
hjlf

Answer:

then what?

Step-by-step explanation:

do we have to find the angle?

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