Determine the equation of a circle with center (5,-3) and radius of 9

Answers

Answer 1

Step-by-step explanation:

solve by using the formula

Determine The Equation Of A Circle With Center (5,-3) And Radius Of 9
Answer 2

The required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

As in the mentioned question,
center (5,-3) and radius is 9,
(x - h)² + (y - k)² = r²

(x - 5)² + (y +3)² = 9²
x² + y² -10x + 6y - 48 = 0

Thus, the required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

Learn more about circle here:

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Related Questions

which number line and expression show how to find the distance from -4 to 1?

Answers

Answer:

the correct answer is C

Determine wheather the given lines are parallel or not. Write the reasons .​

Answers

Answer:

yes it is parallel because the alternate interior angles are equal

what is the sign number of the product -35 and -625 is what​

Answers

Answer:

I think it is Positive."

Step-by-step explanation:

I am so sorry if it is not correct.

Good luck!

I need help ASAP please ​

Answers

A. The slope is 3.75 because that’s how much the total cost is increasing by when a drink is being added
B. The y-intercept is 6.25 because that is the total cost when the number of drinks(x) is zero.
C. y=3.75x+6.25

A florist sold 45 flowers in a day and 60 flowers on the next day. If p is the percent increase in the number of flowers sold, which proportion can be used to calculate p?

Answers

Answer:

c

Step-by-step explanation:

i took the test

Answer: C

Step-by-step explanation:

Only one that makes sense and I just took that test

I don't understand calculus at all bruh :/. I figured out some of this but I don't know if the answer is 0 or 2. Whoever figures this, out also please explain how you got it.

Answers

Calculus isn’t that difficult. And that’s not to insult you or for me to brag. You just simply aren’t being taught correctly, assuming you’re trying.

The first step for ANY limit is to plug in. Always plug in first. You can take the odd root of a negative number because let’s say you have -1^3, you’re still gonna get -1. But if the power is even, you will always get a positive number. So plug in -32 to get the 5th root of -32. The answer would be -2 because -2^5 = -32

ax+6=15 a is a negative, what must be true about x?

Answers

Answer:

x= 9/a

Step-by-step explanation:

Suppose that you roll a die 8 times. What is the probability that you roll a six three or fewer times

Answers

Answer:

0.96

Step-by-step explanation:

Given that the a die is rolled 8 number of times.

[tex]n[/tex] = 8

Probability of getting a 6 on roll of a die,  [tex]p=\frac{1}{6}[/tex]

Probability of not getting a 6 on roll of a die,  [tex]q=1-p=1-\frac{1}{6}=\frac{5}{6}[/tex]

Probability of getting 6 three or fewer times:

[tex]P(r \le 3)=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]

Formula:

[tex]P(r=k)=_nC_k.p^k.q^{n-k}[/tex]

Putting the values using this formula:

[tex]P(r \le 3)=_8C_0.\frac{1}{6}^0.\frac{5}{6}^{8-0}+_8C_1.\frac{1}{6}^1.\frac{5}{6}^{8-1}+_8C_2.\frac{1}{6}^2.\frac{5}{6}^{8-2}+_8C_3.\frac{1}{6}^3.\frac{5}{6}^{8-3}\\\Rightarrow P(r \le 3)=1.\frac{5}{6}^{8}+8.\frac{1}{6}.\frac{5}{6}^{7}+28.\frac{1}{36}^2.\frac{5}{6}^{6}+56.\frac{1}{216}.\frac{5}{6}^{5}\\\Rightarrow P(r \le 3)=0.23+0.37+0.26+0.1=\bold{0.96}[/tex]

A baseball organization has 209 players. It wants to buy sweatshirts or jackets for players’ warmups.

Warm-up Type Price
Sweatshirt $38
Jacket $50

What is the difference in the total price of the sweatshirts and the jackets for all 209 players?
Enter your answer in the box.

Answers

Answer:

The answer is 2508

Step-by-step explanation:

Compute the mean, median, and mode for the following three sets of scores saved.

Score 1 Score 2 Score 3

3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123

Answers

Answer/Step-by-step explanation:

Score 1:

3, 7, 5, 4, 5, 6, 7, 8, 6, 5

Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]

Median: order the data from least to the greatest.

3, 4, 5, 5, 5, 6, 6, 7, 7, 8

The median is average of the fifth and sixth data value in the data set

Median = (5 + 6)/2 = 11/2 = 5.5

Mode = value with the highest frequency = 5

Score 2:

34, 54, 17, 26, 34, 25, 14, 24, 25, 23

Mean = sum of all values/10

Mean = 276/10 = 27.6

Median: order the data set from min to max.

14, 17, 23, 24, 25, 25, 26, 34, 34, 54

The median is average of the fifth and sixth data value in the data set

Median = (25 + 25)/2 = 50/2 = 25

Mode = 25 and 34 (both have frequencies of 2)

Score 3:

154, 167, 132, 145, 154, 145, 113, 156, 154, 123

Mean = sum of all values/10

Mean = 1443/10 = 144.3

Median: order the data set from min to max.

113, 123, 132, 145, 145, 154, 154, 154, 156, 167

The median is average of the fifth and sixth data value in the data set

Median = (145 + 154)/2 = 299/2 = 149.5

Mode = 154

find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8) lies on its terminal side

Answers

Answer:

cosФ = [tex]\frac{1}{\sqrt{65}}[/tex] , sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex] , tanФ = -8, secФ = [tex]\sqrt{65}[/tex] , cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex] , cotФ = [tex]-\frac{1}{8}[/tex]

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

cosФ = [tex]\frac{x}{r}[/tex]sinФ = [tex]\frac{y}{r}[/tex]tanФ = [tex]\frac{y}{x}[/tex]secФ = [tex]\frac{r}{x}[/tex]cscФ = [tex]\frac{r}{y}[/tex]cotФ = [tex]\frac{x}{y}[/tex]Where r = [tex]\sqrt{x^{2}+y^{2} }[/tex] (the length of the terminal side from the origin to point (x, y)You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = [tex]\sqrt{x^{2}+y^{2} }[/tex]

∵ x = 1 and y = -8

∴ r = [tex]\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}[/tex]

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = [tex]\frac{x}{r}[/tex]

∴ cosФ = [tex]\frac{1}{\sqrt{65}}[/tex]

∵ sinФ = [tex]\frac{y}{r}[/tex]

∴ sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex]

∵ tanФ = [tex]\frac{y}{x}[/tex]

∴ tanФ = [tex]-\frac{8}{1}[/tex] = -8

∵ secФ = [tex]\frac{r}{x}[/tex]

∴ secФ = [tex]\frac{\sqrt{65}}{1}[/tex] = [tex]\sqrt{65}[/tex]

∵ cscФ = [tex]\frac{r}{y}[/tex]

∴ cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex]

∵ cotФ = [tex]\frac{x}{y}[/tex]

∴ cotФ = [tex]-\frac{1}{8}[/tex]    

Peter says, "If you subtract 19 from my number and multiply the difference by -3, the result is
- 21." What is Peter's number?
Peter's number is?

Answers

Answer:

26

Step-by-step explanation:

Let the peter's number be represented    x

Given that

1. if you subtract 19 from my number

writing it mathematically it will be x -19

2. multiply the difference by -3

it can be written as

since difference is x-19

multiplied the difference with -3

-3(x-19)

3. the result is -21

-3(x-19) = -21

dividing both side by -3

-3(x-19)/-3 = -21/-3

x-19 = 7

adding 19 both sides

x-19 + 19  = 7 + 19

x = 26

Thus, peter's number is 26.


Caleb is saving money to buy a bike next year. So far he has saved $150. Write an inequality to show how much he needs to
save each month for the next year so he has at least $800 to spend on the bike, then solve the inequality

Answers

He needs to save > or = to $800 sorry if this is wrong I’m a little rusty on this math topic

I know this is easy for yall but for me is not I need some help please I'm giving brainlist.​

Answers

Answer:

about $2.99

Step-by-step explanation:

to find the amount of the discount you find 15% of $19.95

19.95 * .15 = 2.9925 which is about 2.99

Answer:

Give the otherperson brainliest pls and thank u

Step-by-step explanation:

PLEASE HELP ASAP!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls.
x is boys
y is girls
800=1.5x=y
Determine how many boys and girls attend Park Middle School. Round to the nearest whole number if necessary. Show your work.

Answers

Answer:

320 boys; 480 girls

Step-by-step explanation:

Here is the correct system of equations you can write for this equation:

1.5x=y

x+y=800

x+1.5x=800

2.5x=800

x=320

320+y=800

y=480

is this a equation or expression 4r+3=12

Answers

Answer:

Equation

Step-by-step explanation:

Because there is only one unknown term in it

I hope it helps

Thank U

pls help meeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

kya pls help meeeeeeeeeeeeeeee.

please thanks and follow me.

What are the answers to 11 and 12

Answers

11. Is x=17
12.is x=11.43

Solve for x:

20- 3x= -3(x-8)​

Answers

Answer:

[tex]20 - 3x = - 3( x - 8) \\ 20 - 3x = - 3x + 24 \\ - 3x + 3x = 24 - 20 \\ 0 = 4[/tex]

It does not have any answer.

Snail moves 6 inches in 120 minutes. What was average speed of snail in inches per minute

Answers

Answer:

.2 inches a min.

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

6 divided by 120 = 0.05

Hope this helps☺️

pls help will give brainliest

Answers

Answer:

14 units

Step-by-step explanation:

Answer:

[tex]\sqrt{116[/tex] ( award branliest :) )

Step-by-step explanation:

When you insert both points into the distance formula which is

d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]  you arrive at the final answer of [tex]\sqrt{116}[/tex]

use the simplified ratio to find the equivalent ratio with a denominator of 140​

Answers

Answer:

x

__

140

Step-by-step explanation:

all i could get sorry

What Is It HomeWork*.

Answers

Answer:

sumthing that we hate doing

Step-by-step explanation:ughhhhhhhhhh

The inequalities is 6 is greater than or equal to 6

Explain the phrase conservation of energy and provide an example.

Answers

Answer:

Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.

Step-by-step explanation:

What is the domain of the function in this table?

X | Y
1 | 2
2 | 4
3 | 3
4 | 2

CHIOCES:
A. (1, 2), (2, 4), (3, 3), 4,2)
B. {1,2,3,4}
C. (1,2)
D. {2,3,4}


PLEASE HELP URGENT

Answers

Answer: B. {1, 2, 3, 4}

Step-by-step explanation:

The domain is the set of input values (in other words, x values)

Can you help me identify where I went wrong? I'm having trouble understanding this concept and I need to in order to understand what I will be learning next, thank you!

Answers

Step-by-step explanation:

Your work is correct.  First, you graphed the region.  The minimum or maximum is always at the corner, which you found to be (3.08, 3.64).

The value of C at this point is C = 14.

Determine if the three side lengths could form a right triangle.
4, 11, 16

Answers

Answer:

yes it can i think

Step-by-step explanation:

Solve for x.

6(x – 1) = 9(x + 2)

Answers

Answer: -8

Step-by-step explanation:

Distribute 6 to x and -1

6x-6=9(x+2)

Distribute 9 to x and 2

6x-6=9x+18

Add 6 to both sides

6x=9x+24

Subtract 9x from both sides

-3x=24

Divide -3 from both sides

X=-8

The answer is -8 hope that helps lol

A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. The test statistic is t≈1.971, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0.

Select all that apply:
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the heights of males between generations are different.

Answers

Answer:

The correct option is  

Option A and Option C

Step-by-step explanation:

From the question we are told that

   The sample size of paired men is  [tex]n_p   =  11[/tex]

   The test statistics is  t≈1.971

    The  significance level is  α=0.05

    The rejection region is  t<−2.228 and t>2.228

    The null hypothesis is  [tex]H_o :\mu_ d=0[/tex]

     The alternative hypothesis  is  [tex]H_a :\mu_ d \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

        [tex]df  =  n_1 +  n_2 - 2[/tex]

Here [tex]n_1[/tex] is the sample size of  father which is  [tex]n_1 =  11[/tex]

        [tex]n_2[/tex] is the sample size of males who are at least 18 years old  which is  [tex]n_2 =  11[/tex]

So

     [tex]df  =  11 +  11 - 2[/tex]

=>   [tex]df  =  20[/tex]

Generally the critical values of  α=0.05 from the  t- distribution table at a degree of freedom of  [tex]df  =  20[/tex]  for a two -tailed test  is  

     [tex]t_{0.05 , 20 } =  \pm 2.08596345  [/tex]

From the value  obtained we see that the critical value  is within the region of rejection hence

 The decision rule is

Reject the null hypothesis

The conclusion is  

  The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.

     

Oct 16, 12:30:47 PM
Wyatt has 6 cups of yogurt to make smoothies. Each smoothie uses cup of yogurt.
What is the maximum number of whole smoothies Wyatt can make with the yogurt?

Answers

Wyatt would be able to make 6 whole smoothies.
6 Smoothies

Mark Brainliest
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