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Phantasy [73]
3 years ago
8

The equation of a circle is x^2 plus (y-10) ^2 equals 16 The radius of the circle is ___

Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

The standard equation of a circle:

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

(h, k) - center

r - radius

We have:

x^2+(y-10)^2=16\to(x-0)^2+(y-10)^2=4^2

<h3>Answer:</h3><h3>The radius of the circle is 4.</h3><h3>The center of the circle is (0, 10)</h3>
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Choose the equation below that represents the line passing through the point (1, -4) with a slope of 1/2
tatiyna

For this case we have that by definition, the line equation of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have:

m = \frac {1} {2}

Thus, the equation is of the form:

y = \frac {1} {2} x + b

We substitute the given point and find "b":

-4 = \frac {1} {2} (1) + b\\-4 = \frac {1} {2} + b\\-4- \frac {1} {2} = b\\b = - \frac {9} {2}

Finally, the equation is of the form:

y = \frac {1} {2} x- \frac {9} {2}

Answer:

y = \frac {1} {2} x- \frac {9} {2}

6 0
3 years ago
2 and one half divide by one fourth
solmaris [256]
Hi,

2 \frac{1}{2}  \div  \frac{1}{4}   \\ 2 \frac{2}{4}  \div  \frac{1}{4}  = 10

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r3t40
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3 years ago
Given a sample size n, how will the distribution of the sample mean behave?
Keith_Richards [23]
Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.

Explanation:
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   (The Law of Large numbers)
2. The standard error of the sample is
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3 years ago
Elena went on a 6-mile walk. She completed the first half of the walk 1 mi/h faster than usual and the second half of the walk 2
xxTIMURxx [149]

Answer:

Her usual rate is 0.8333 miles per hour.

Step-by-step explanation:

The velocity formula is given by:

v = \frac{d}{t}

In which d is the distance and t is the time.

She completed the first half of the walk 1 mi/h faster than usual

Her usual rate is v. 1mph faster is v + 1.

The second half of the walk 2 mi/h slower than the first half.

The first half is v + 1.

2mph slower is v + 1 - 2 = v - 1. Then

Total rate:

7.2 hours, and 6 miles. So

One half is v+1 and the other is v - 1. This is why each is multiplied by 0.5.

0.5(v + 1) + 0.5(v - 1) = \frac{6}{7.2}

0.5v + 0.5 + 0.5v - 0.5 = 0.8333

v = 0.8333

Her usual rate is 0.8333 miles per hour.

8 0
3 years ago
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