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Oksanka [162]
3 years ago
15

A circle has a radius of 12 and a center at (-7,4) Find the equation of the circle

Mathematics
2 answers:
Eddi Din [679]3 years ago
4 0
<span>The equation for the circle is

</span><span>(x+7)^2+(y-4)^2=12^2 </span>
Paha777 [63]3 years ago
3 0
The equation of the circle is
(x-a)^{2} + (y-b)^{2} = r^{2}
(x--7)^{2} +( y-4)^{2} = 12^{2}
(x+7)^{2} + (y-4)^{2} = 12^{2}
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Which of the following fractions is equivalent to (−13)÷(−6)? Select two that apply.
tangare [24]

Answer:

D and F

Step-by-step explanation:

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2 years ago
5) If Oskar bisects the diameter of a circle, what is he trying to construct?
pav-90 [236]

Answer:

Center = (5,-3) and radius = 7

Step-by-step explanation:

(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.

(6) The given equation is :

(x-5)^2+(y+3)^2=49

The general equation of circle is given by :

(x-a)^2+(y-b)^2=r^2 ...(1)

Where

(a,b) are the coordinates of the centre and r is the radius.

The given equation can be written as :

(x-5)^2+(y+3)^2=7^2 ..(2)

Comparing equation (1) and (2) we get :

a = 5, b = -3 and r = 7

So,

Center = (5,-3) and radius = 7

Hence, this is the required solution.

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2 years ago
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Arturiano [62]
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2 years ago
In 2013, a study found that U.S. consumers consumed soft drinks with a mean of 42.2 gallons per year and variance of 169. Ninety
melisa1 [442]

Answer:

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

The standard deviation is the square root of the variance, so \sigma = \sqrt{169} = 13

Also, the mean is 42.2, so \mu = 42.2

Ninety-five percent of consumers in the U.S. consumed less than how many gallons?

The 95th percentile, which is the value of X when Z has a pvalue of 0.95. So X when Z = 1.645

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 42.2}{13}

X - 42.2 = 13*1.645

X = 63.59

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

4 0
3 years ago
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