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Elanso [62]
3 years ago
13

If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its center point is

Mathematics
2 answers:
Tom [10]3 years ago
5 0
        (x - h)² + (y - k)² = 25
(x - (-4))² + (y + (-6))² = 25
      (x + 4)² + (y - 6)² = 25

(h, k) = (-4, 6)

The answer is B.
Kobotan [32]3 years ago
5 0

Answer:

center of the circle is (-4,6)

Second option is correct.

Step-by-step explanation:

The given equation of circle is (x+4)^2+(y-6)^2=25

The general form of a circle is given by the equation

(x-h)^2+(y-k)^2=r^2

Here (h,k) is the center and r is the radius.

On comparing the equation with this general form, we get

h = -4, k = 6

Therefore, the center of the circle is (-4,6)

Second option is correct.

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Please answer question plz!!!!!
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Answer:

V = 214.32

Step-by-step explanation:

Remark

You have to be a little careful with this question. The temptation is just to take the difference of the heights. That is not correct. The difference has to be multiplied by the base to get the volume.

Formula

V = (h1 - h2)* Base

Givens

h1 = 32.9

h2 = 29.1

Base = 56.4

Solution

V = 56.4 ( 32.9 - 29.2)

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3 years ago
How do I divide whole numbers by fraction? (Ex: 12 ÷ 1⁄2)
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Y = $35.25(6) + 40

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3 years ago
A bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles. If three marbles are pulled out find each of the pr
worty [1.4K]

Answer:  The probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

Step-by-step explanation:  Given that a bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles.

Let S be the sample space for the experiment of pulling a marble.

Then, n(S) = 12 + 8 + 5 = 25.

Let, E, F and G represents the events of pulling a red marble, a blue marble and a green marble respectively.

The, n(E) = 12, n(F) = 8  and  n(G) = 5.

Therefore, the probabilities of each of these three events E, F and G will be

P(E)=\dfrac{n(E)}{n(S)}=\dfrac{12}{25}=\dfrac{12}{25}\times100\%=48\%,\\\\\\P(F)=\dfrac{n(F)}{n(S)}=\dfrac{8}{25}=\dfrac{8}{25}\times100\%=32\%,\\\\\\P(G)=\dfrac{n(G)}{n(S)}=\dfrac{5}{25}=\dfrac{5}{25}\times100\%=20\%.

Now, the probability of pulling three green marbles out with replacement is given by

P(G)\times P(G)\times P(G)=\dfrac{5}{25}\times\dfrac{5}{25}\times \dfrac{5}{25}=\dfrac{1}{125}=\dfrac{1}{125}\times100\%=0.8\%.

Thus, the probability of pulling a red marble is 48%, probability of pulling a blue marble is 32%, probability of pulling a green marble is 20%

and

the probability of pulling three green marbles out with replacement is 0.8%.

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3 years ago
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