Determine the center and radius of the following circle equation: x^2+y^2+20x+8y+35=0

Answers

Answer 1

Answer:

center: (-10,-4)

radius: 9

Step-by-step explanation:

Let's start off by moving the 35 to the other side and grouping the x and y terms we have

(x²+20x)+(y²+8y)= -35

Next we take the term with the x coeficcent, divide it by 2, and square it

so

for the x we would do (20/2)²=100

and make sure we add that to the 35

(x²+20x+100)+(y²+8y+16)= -35+100+16

next factor everythign to get

(x+10)²+(y+4)²=81

therefore the center is (-10,-4)

and the radius is √81 or 9


Related Questions

Automobile engineers wanted to check the effect of a new automatic transmission on mileage. They selected 50 cars of the same make and model. Twenty-five of the cars used the old transmission, while the other 25 cars used the new model of transmission. A hypothesis test on the difference between the means was conducted. Which one of the following is a condition necessary to conduct this test?

a. The standard deviation of each group should be different.
b. The sampling distribution of the difference between the sample means is bimodal.
c. Since the data were random, no linear regression was possible.
d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.
e. The difference between the means was within one standard deviation.

Answers

Answer:

d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.

Step-by-step explanation:

A hypothesis test on the difference between the means must satisfy the following conditions

1) the samples must be randomly selected

2) each sample must have a known standard deviation

3) the samples must be independent

4) the samples must be from normal distribution

Hence only part d gives the right answer.

Suki named a fraction that was not a multiple of. Which fraction could she have
named?
A. 6/4
B. 9/4
с. 10/4
D.12/4

Answers

The correct answer is letter C

Solve t - 4 > 12

1. t > -12
2. t > 12
3. t > -16
4. t > 16

Answers

Answer:

4. t>16

hope it helps......

The diameter of a circle is 13 ft. Find the circumference to the nearest tenth.

Answers

Step-by-step explanation:

circumference of a circle

U = 2 x pi x r

what you know:

U = 13

rearrange and solve for r

U/(2 x pi) = r

David inherited some land in 1960 that was valued at $25,000. The value of the land has increased 10% every 5 years. Which function will calculate the value of the land x years after 1960?

Answers

Answer:

f(x) = 25,000(0.1)^5x

Step-by-step explanation:

Which of the following is equivalent to 7(2x+1)-2(6x+3)=15
2x+4=15
-2x+13=15
-2x+4=15
2x+1=15

Answers

Answer:

2x + 1 = 15

Step-by-step explanation:

Answer:

D or 2x+1

Step-by-step explanation:

first we have to distribute the 7 to the 2x+1

14x+7-2(6x+3)=15

now distribute the -2

14x+7-12x-6=15

combine like terms on the left side

2x+1=15

your answer would be D

hope this helps!

Quick. What is the product of the LCM and the GCD of 6 and 9? ANSWER FAST

Answers

LCM= 9 18 27 36
GCF= 9 18
Hope this helps

A student plays a total of 20 rounds of Rock Paper Scissors. He wins 75% of them. How many rounds did he win?

Answers

He won 15 rounds. 75% of 20 is 15

Answer:

i think he won 15 of 0 rounds

Step-by-step explanation:

i just divided

Please help me it’s simple but I just have forgotten

Answers

9514 1404 393

Answer:

  y = -3x

Step-by-step explanation:

Your solution will be in the form ...

  y = (something)

In order to get the y-term by itself, you need to add the opposite of everything else*:

  3x +y +(-3x) = 0 +(-3x)

  y = -3x . . . . . simplify

_____

* Anything you do to one side of the equation must also be done to the other side. Here, we added -3x to both sides.

On average, 4/20 of the money you spend on a product pays for the packaging. What is this fraction when you cancel it down?

Answers

Answer:

1/5

U can do it by the cutting methord.

What is the image point of (1,8) after a translation right 1 unit and up 5 units?

(And lease if you don't know the answer or send me one of those bitly links don't answer.)

Answers

Just move the point Once to right, and up 5 times

Answer:

(2,13)

Step-by-step explanation:

2x+3x-4y+7y-x+20. Find equal expressions

Answers

Answer: 4x + 3y +20 is your answer hope this helped

plz make brainly

Step-by-step explanation:

i hope it helps XD......

Which of the following is an example of a two-way ANOVA test? a.) Comparing the number of hours of sleep for freshman, sophomores, juniors, and seniors. b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night. c.) Studying the number of hours of sleep for freshmen, sophomores, and juniors. d.) Comparing the number of hours that freshman and seniors study during a semester.

Answers

Answer:

b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night.

Step-by-step explanation:

Analysis of Variance could be referred to as a form of statistical test which is used to evaluate the average or mean changes of a continous dependent variable based on the different combination of the input levels of TWO independent or predictor variables. From the options given, the option selected, the analysis is based on TWO independent, predictor variables which are hours of study in a semester and the number of sleeping hours for 3 different levels or categorical groups of students (Freshman, sophomore, Junior and Seniors) get at night.

Since, we can identify two distinct independent variables, then it is fit for analysis using a 2 - way ANOVA.

What is the system of linear equations to represent the situation?

Answers

Answer:

x+y= 30

8x+7.5y=234

you need to work 18 hours as a dog walker and 12 hours at the carwash

Step-by-step explanation:

x is the number of hours spent dog walking

y is the number of hours spent at the car wash

x+y is to total number of hours work (30)

8x is the amount made dog walking

7.5y is the amount made working at the carwash

234 is the total amount made by working 30 hours

x+y= 30

8x+7.5y=234

to solve:

x+y=30  (isolate the variable x) x=30-y

8(30-y)=234 (substitute in the 30-y for x)

240-8y+7.5y=234 (distribute the 8)

240-.5y=234 (combine like terms)

-.5y=-6 (subtract 240 from each side)

y=12 (divide by .5)

x+12=30 (put 12 in for y)

x=18 (subtract 12 from both sides)

you need to work 18 hours as a dog walker and 12 hours at the carwash

DUE IN 3 MINUTES PLEASE HELP

Answers

Answer:

B. 12^3 - 12^2 - 11

Step-by-step explanation:

........

Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/20 liter of paint. How many statues can she paint?

Answers

Answer:

she can paint 17  statues (with  some paint left,but not enough for another statue)

Step-by-step explanation:

7/8 divided into  1/20

is the same as   7/8 multiplied by 20/1

7/8 x 20/1  = 140/8  = 17.5

The velocity function, in feet per second, is given for a particle moving along a straight line.
v(t) = t2 − t − 182, 1 ≤ t ≤ 15
(a) Find the displacement
(b) ) Find the total distance that the particle travels over the given interval.

Answers

Answer:

a)2

B)2

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEE

Answers

Answer:

The perimeter of rectangle JKLM is 16 units.

Step-by-step explanation:

Perimeter is the area around the shape, so if you look at the space between K and J, the units there are 7. Multiply 7 by 2 (since there are two sides), and then add 2. 2 + 14 = 16.

Answer:

17 units

Step-by-step explanation:

can u mark me as brainliest?

Ashas age is twice the age of Roman. After how many years will Roman be two third of Ashas age?​

Answers

Answer:

5

Step-by-step explanation:

Which of the following lists all the positive factors of 8?
O 1,8
O 2,4
O 2, 4, 6
O 8, 16, 32
O 1, 2, 4, 8
Calculator

Answers

The answer is 1, 2, 4, 8

Write the absolute value equation that is represented by the graph​

Answers

Answer:

Step-by-step explanation:

g(x) =  -|x-3| +4

What is the area of the triangle that has vertices (-3,2), (5,6) and (-3,10)?

Answers

Answer:

I think it will be 32

The 2003 Statistical Abstract of the United States reported that the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30. a. [2.5 pts] How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02

Answers

Answer:

A sample of 2017 should be taken.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30.

This means that [tex]\pi = 0.3[/tex]

Confidence level:

Not given, so I will use 95%.

This means that [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

a. [2.5 pts] How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02?

A sample of n should be taken.

n is found fo M = 0.02. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3*0.7}}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3*0.7}}{0.02})^2[/tex]

[tex]n = 2016.8[/tex]

Rounding up:

A sample of 2017 should be taken.

Cuantos años hay 5823 días

Answers

Answer:

16 anos

Step-by-step explanation:

Olive flipped a coin and rolled a number cube with the
numbers 1-6 on it. What is the probability that she flipped
heads and rolled an even number?
1
N
3
4
5
6
H
H1
H2
H3
H4
H5
H6
T
T1
T2
T3
T4
T 5
T6
3
3

Answers

Answer:

p

Step-by-step explanation:

ILL GIVE BRAINLEST Determine whether the two angles in each figure are complementary, supplementary, or neither

Answers

Answer:

Step-by-step explanation:

If the sum of two angles = 180°

Then the pair of angles will be supplementary.

If the sum of two angles = 90°

Then the pair of angles will be complementary.

Sum of angles having measures 98° and 82° = 98° + 82°

                                                                          = 180°

Therefore, both the angles will be supplementary.

Sum of angles having measures 134° and 36° = 134° + 36°

                                                                            = 170°

Therefore, these angles are neither supplementary nor complementary.

So the answer is NEITHER.

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9. Is there sufficient evidence at the 0.1 level to support the testing firm's claim?

Answers

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

[tex]H_0: \mu = 59.5[/tex]

At the alternate hypothesis, we test that it is different, that is:

[tex]H_a: \mu \neq 59.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that [tex]\mu = 59.5[/tex]

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that [tex]n = 250, X = 59.2, \sigma = 1.9[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}[/tex]

[tex]z = -2.5[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

i will give Brainiest if you are right

Answers

Answer:

J is the correct option.

Step-by-step explanation:

Have a nice day!

This is the other question but also you can use the letters that’s on the right side !!

Answers

Answer:

Chrome and camera. 1000 mistakes

Step-by-step explanation:

bvggifui good go you uuuu to yyytyyyyggyhgghhhghhhhhhhhhbbhvvvdf uh oh utgggy

The ratio of the results of the local football team games won drawn and lost his 18 6 24 simplest this ratio

Answers

Answer:

3:1:4

Step-by-step explanation:

So the ratio is 18:6:24

To simplify it you divide all the numbers by 6 ( the highest common factor )

It then becomes 3:1:4

HOPE THIS HELPED

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