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3 years ago

Which of the following is the equation for a circle with a radius of r and center at (h,v)

Mathematics

2 answers:

Lorico [155]3 years ago

6 0

Are there any answer choices

enyata [817]3 years ago

6 0

Answer:

(x – h)² + (y – v)² = r².

Step-by-step explanation:

Given : A circle with a radius of r and center at (h,v).

To find : which of the following is the equation for a circle .

Solution : We have given radius = r center = ( h ,v) .

Standard form of circle : (x – h)² + (y – k)² = r².

Where, center ( h ,k ) ,radius = r.

On plugging the values in standard equation

(x – h)² + (y – v)² = r².

Therefore, equation of circle (x – h)² + (y – v)² = r².

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-p/3 - 8 = -3 I need the show work too

professor190 [17]

Answer:

-15

Step-by-step explanation:

-3+8-5. 5x3=15 and because it is -p it would be -15.

3 0

3 years ago

Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.

sp2606 [1]

Answer:

(A) The odds that the taxpayer will be audited is approximately 0.015.

(B) The odds against these taxpayer being audited is approximately 65.67.

Step-by-step explanation:

The complete question is:

Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.

A. What are the odds that the taxpayer will be audited?

B. What are the odds against such tax payer being audited?

Solution:

The proportion of U.S. taxpayers who were audited is:

P (A) = 0.015

Then the proportion of U.S. taxpayers who were not audited will be:

P (A') = 1 - P (A)

= 1 - 0.015

= 0.985

(A)

Compute the odds that the taxpayer will be audited as follows:

$\text{Odds of being Audited}=\frac{P(A)}{P(A')}$

$=\frac{0.015}{0.985}\\\\=\frac{3}{197}\\\\=0.015228\\\\\approx 0.015$

Thus, the odds that the taxpayer will be audited is approximately 0.015.

(B)

Compute the odds against these taxpayer being audited as follows:

$\text{Odds against Audited}=\frac{P(A')}{P(A)}$

$=\frac{0.985}{0.015}\\\\=\frac{3}{197}\\\\=65.666667\\\\\approx 65.67$

Thus, the odds against these taxpayer being audited is approximately 65.67.

8 0

3 years ago

What is the least common denominator for these two rational expressions n^4/n^2+2n+1,7/n^2-8n-9

sergeinik [125]

Answer:

Step-by-step explanation:

n²+2n+1 = (n+1)(n+1)

n²-8n-9 = (n+1)(n-9)

the least common denominator for these two rational expressions is :

(n+1)(n-9)

7 0

3 years ago

Max used 3 7/8 pounds of yellow potatoes and 2 5/8 pounds of sweet potatoes to make a potato salad. How many more pounds of yell

Talja [164]

Answer:

3 7/8-2 5/8

31-21

=10/8

=1 1/4 more

5 0

2 years ago

Read 2 more answers

Two people start from the same point. One walks east at 4 mi/h and the other walks northeast at 8 mi/h. How fast is the distance

kvasek [131]

Answer:

5.89 mi/h

Step-by-step explanation:

This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.

First, we start by drawing a diagram with the velocity vectors.

A= velocity of the first person

B= velocity of the second person

C= velocity in which they are moving away from each other.

Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)

Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.

Law of cosines:

$C^{2}=A^{2}+B^{2}-2ABcos \gamma$