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GarryVolchara [31]
3 years ago
15

What is the radius and center for (x - 2)2 + y2 16? 0000 A. r = 16; center is (2,0) B. r = 4; center is (-2,0) C. r = 16; center

is (-2,0) D. r = 4; center is (2,0)​
Mathematics
1 answer:
marin [14]3 years ago
7 0

Answer:

  • D. r = 4; center is (2, 0)

Step-by-step explanation:

<u>Equation of a circle:</u>

  • (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius

<u>Given equation:</u>

  • (x - 2)² + y² = 16

<u>Rewrite as:</u>

  • (x - 2)² + (y - 0)² = 4²

The center is (2, 0)

The radius is r = 4

Correct choice is D

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Find the area of the shaded polygons:
Marina86 [1]

Answer:

6.5 square units

Step-by-step explanation:

There are MANY ways to do this problem, most of them involving breaking it into 3 or four shapes.  But this one is easier if you do most of it by taking out the squares and half squares.  

Squares - 3

Half squares - 4 (totals 2 squares)

Triangle - 1 - 1/2bh = 1/2x1x3 = 1.5

TOTAL = 3+2+1.5=6.5

5 0
2 years ago
A person calls people to ask if they would like to extend their automobile insurance beyond the normal3years. The probability th
Sonbull [250]

Using the binomial distribution, it is found that there is a 0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

For each person, there are only two possible outcomes, either they say yes, or they say no. The probability of a person saying yes is independent of any other person, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The probability that the seventh person is the first to say yes is P(X = 0) when n = 6(first six say no) multiplied by 0.37(probability the seventh say yes).
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Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.37)^{0}.(0.63)^{6} = 0.0625

p = 0.37(0.0625) = 0.0231

0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

A similar problem is given at brainly.com/question/24863377

3 0
2 years ago
Please help is this answer are right, number 1 and question #2
VladimirAG [237]
Yes. They are both right.
7 0
3 years ago
Write in standard form 8x2−5+7x4−9x−x5<br><br><br> Please explain i don't understand
FinnZ [79.3K]
-x^5+7x^4+8x^2-9x-5.....
7 0
2 years ago
Read 2 more answers
Fill in the blanks to explain how Harry can check whether his solution is correct
Tresset [83]

<u><em>Answer is in bold</em></u>

Harry can first substitute 30 for t. He can then multiply \frac{1}{3} by 30 to get a product of 10. Since 15 is equal to 30 × 1/2, Harry's solution is not correct.

Hope this helps :)

Have a great day!

5 0
1 year ago
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