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3 years ago

The center of a circle is at (2, −5) and its radius is 12.

Mathematics

2 answers:

olganol [36]3 years ago

7 0

The answer is the first one. (x−2)2+(y+5)2=144. Hope this helps.

9966 [12]3 years ago

6 0

The equation of the circle is given by (x-h)^2 + (y-k)^2 = r^2 where (h,k) represent the center of the circle and r represents the radius

From the question , we have been given (h,k) = (2,-5) and r =12

(x-2)^2 + (y-(-5))^2 = 12^2

The two minuses in the second term cancel out and give a plus. (-*- = +)

(x-2)^2 + (y+5)^2 = 144

So, the equation of the circle is:

(x-2)^2 + (y+5)^2 = 144 (Option A)

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Christopher and Edward were painting wagon wheels for the school play. The pictures show how much of the wheels they painted. Ho

Marina CMI [18]

Using fractions, it is found that $\frac{43}{45}$ of a wheel still needs to be painted.

On the first wheel, 4 of the 9 equal parts have been painted, that is, $\frac{4}{9}$ of the wheel has been painted, hence $\frac{5}{9}$ has not been painted.

On the second wheel, 6 of the 10 equal parts have been painted, that is, $\frac{6}{10} = \frac{3}{5}$ of the wheel has been painted, hence $\frac{2}{5}$ has not been painted.

The total fraction that still has to be painted is:

$\frac{5}{9} + \frac{2}{5} = \frac{25 + 18}{45} = \frac{43}{45}$

$\frac{43}{45}$ of a wheel still needs to be painted.

To learn more about fractions, you can take a look at brainly.com/question/14387610

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2 years ago

1. Bobby looks in his wallet and sees that he has 2 twenty dollar bills and 1 ten dollar bill. He goes to the store and the chec

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Answer: a

Step-by-step explanation:

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The population of cats in a rural neighborhood has declined in the last year by roughly 30%. Residents hypothesize that this is

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Answer:

Orinal number of cats= 171

Step-by-step explanation:

Giving the following information:

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2 years ago

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Wittaler [7]

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How many complex zeros does the polynomial function have? f(x)=−3x^6−2x^4+5x+6

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one way would be to factor

I can't factor it so we will have to use Descartes' Rule of Signs which is helpful for finding how many real roots you have

it goes like this:

for a polynomial with real coefients, consider $f(x)=-3x^6-2x^4+5x+6$ .

after arranging the terms in decending order in terms of degree, count how many times the signs of the coeffients change direction and minus 2 from that number until you get to 1 or 0. that will be the number of even roots the function can have

We have (-, -, +, +). the signs changed 1 times, so it has 1 real positive root

to get the negative roots, we evaluate f(-x) and see how many times the root changes

$f(-x)=-3x^6-2x^4-5x+6$

signs are (-, -, -, +). there was 1 change in sign

so the function has 1 real negative root

a total of 2 real roots

a function of degree $n$ can have at most, $n$ roots

our function is degree 6 so it has 6 roots

if 2 are real, then the others must be complex

6-2=4 so there are 4 complex roots

you can also show that there are only 2 real roots by using a graphing utility to see that there are only 2 real roots

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2 years ago