1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mars2501 [29]
3 years ago
11

X2 + y2 – 4x + 10y + 4 = 0. find the center and radius of a circle

Mathematics
1 answer:
alekssr [168]3 years ago
8 0

Answer:

the center is : (2 , - 5) and radius 5

Step-by-step explanation:

hello :

x² + y² – 4x + 10y + 4 = 0

(x²-4x)+(y²+10y)+4 =0

Completing The Square :

(x²-4x+4)-4+(y²+10y+25)-25+4 =0

(x-2)²+(y+5)²= 5²  .....standard form

the center is : (2 , - 5) and radius 5

You might be interested in
Tan9 - tan27 - tan63 + tan 81 = ?
ludmilkaskok [199]
Tan9−tan27−tan63−tan81
tan9+tan81−tan27−tan63
sin9/cos9+sin81/cos81−sin27/cos27−sin63/cos63
sin90/cos81cos9−sin90/cos63cos27
1/sin9cos9−1/sin27cos27
2/sin18−2/sin54
(2)sin54−sin18/sin18sin54
4cos36sin18/sin18cos36=4
8 0
3 years ago
*20 POINTS PLEASE HELP*
Softa [21]

Answer:

upper right 31 middle right 24, bottom right 55

upper middle 10, center box 7, lower middle 17

upper left 41, middle left 31, bottom left 72

Step-by-step explanation:

cat and dog is the overlapping part of th diagram, 31 people like both.

dog and not cat is the left side of the

diagram, 24 people only like dogs

the total of people who like dogs is adding the left number with the the center number and 55 people all like dogs

dislikes dogs likes cats is the right side of the diagram, 10 people

not dog not cat, those who want neither are outside both bubbles, 7

the total of people who would not get a dog is 17

the total of people who like cats is the middle of the chart and the right added together 31+10 is 41

the total of people who dont like cats is the left side and the number of people who dont like anything 24+7 is 31

the total number of all the people could be gotten by adding all the number on the display together 24+31+10+7=72

or by adding the other bottom totals 55+17= 72, or by adding the other left totals together 41+31=72

3 0
3 years ago
The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

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

By the Central Limit Theorem

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

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

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

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
How do I solve this using substitution?
oksano4ka [1.4K]

Answer :y=4   x=2

Step-by-step explanation:

8 0
2 years ago
Which number is one hundred thousand times larger than 5.6 x 102 ? A) 5.6 x 106 B) 5.6 x 107 C) 5.6 x 108 D) 5.6 x 109
Vladimir [108]
Hello! I believe you are referencing to powers of 10. In this case 10^2 is 100. 5.6 * 100 = 560. Okay. We are looking for the expression that will give the solution that is 100,000 times greater than 560. Okay. 100,000 * 560 is 56,000,000. That is 56 million. In this case, 10^7 is equivalent to 10,000,000, because there are 7 zeros behind the 1. 5.6 * 10^7 is 56,000,000. There. 56 million is 100,000x greater than 560. The answer is B.
8 0
3 years ago
Other questions:
  • If the height of Mount Everest is about 8.8×103 meters, and the height of the Empire State Building is about 3.8×102 meters, whi
    13·2 answers
  • Which triangle is similar to AABC if sin(A) = 1 cos
    12·1 answer
  • A rock is thrown upward from a bridge that is 43 feet above a road. The rock reaches its maximum height above the road 0.91 seco
    12·1 answer
  • A study reports that freshmen at public universities work 10.2 hours a week for pay, on average, and the sn is 8.5 hours; at pri
    8·1 answer
  • Sally has saved one thousand five hundred cents over nine days from selling lemonade how many dollars does sally have?
    12·1 answer
  • A rectangular folder has a perimeter of 30 inches and an area of 54 square inches. What are the dimensions of the folder?
    8·1 answer
  • What's the circumference of a circle with a radius of 7 in? Round your answer to the nearest inch. A. 41 in. B. 44 in. C. 21 in.
    11·1 answer
  • Three out of every five students wore green on St. Patricks day. What percent of the students wore green?
    7·2 answers
  • Find ten solutions to the linear equation to the linear equation 1/2x+y=5
    13·1 answer
  • 1, 6, 13, 22, 33, 46, 61 what comes next???????
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!