24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .
a. Center: (-15, 9), Radius: 5
b. Center: (15, -9), Radius: 25
c. Center: (-15, -9) Radius: 5
d. Center: (15,9) Radius: 25

Answers

Answer 1

Answer:

a. Center: (-15, 9), Radius: 5

Step-by-step explanation:

Equation of a circle:

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this question, we have that:

[tex](x + 15)^2 + (y - 9)^2 = 25[/tex]

Comparing both equations:

[tex]x - x_0 = x + 15[/tex]

[tex]x_0 = -15[/tex]

And

[tex]y - y_0 = y - 9[/tex]

[tex]y_0 = 9[/tex]

The center is [tex](-15,9)[/tex].

For the radius:

[tex]r^2 = 25[/tex]

[tex]r = \sqrt{25} = 5[/tex]

The correct answer is given by option a.


Related Questions

Trying to finish this test at 3:30 am plz help

Answers

Given:

The given sum is:

[tex]\sum _{k=4}^9(5k+3)[/tex]

To find:

The expanded form and find the sum.

Solution:

We have,

[tex]\sum _{k=4}^9(5k+3)[/tex]

The expanded form of given sum is:

[tex]\sum _{k=4}^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)[/tex]

[tex]\sum _{k=4}^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)[/tex]

[tex]\sum _{k=4}^9(5k+3)=23+28+33+38+43+48[/tex]

[tex]\sum _{k=4}^9(5k+3)=213[/tex]

Therefore, the correct option is C.

Which pair of inequalities is equivalent to 0 Choose the correct answer below.

Answers

Answer: D is correct

Step-by-step explanation:

Answer:

C.   x > 0 and x ≤ 3

Step-by-step explanation:

0 < x ≤ 3

when  0 < x then x > 0

Example: 0 < 2 then 2> 0

Therefor

x > 0 and x ≤ 3

Plsss help. giving extra points if correct.

Answers

Answer:

98?

Step-by-step explanation:

Which is the best estimate for the weight of a bicycle?
A. 2 ounces
B. 2 pounds
C. 20 ounces
D. 20 pounds

Answers

Answer:

B

Step-by-step explanation:

i know this already from another

ANSWER: B
Explanation: The dude above me

Simplify.

4^3•4^-6

A. 1/4^3
B. 1/4^9
C. 1/4^18
D. 4^3

Answers

Answer:

A

Step-by-step explanation:

This can be rearranged as 4^3 * 1/(4^6)

or (4^3)/(4^6)

This can be changed to:

(4^3)/((4^3)*(4^3)

Which is equal to 1/(4^3)

or

4^(-3)

whats 7 times 8 divided by 2 i think the answer s 6 am i right or ring please tell me

Answers

Answer:

28

Step-by-step explanation:

First,

7 times 8 = 7 × 8 = 56

Then,

The product divided by 2 = 56 ÷ 2 = 28

Hence,

The required answer is 28

Help please
(Worth 10 points)
Please respond with a actual answer
*No robots no bad links*

Answers

The dude typing gonna help u

What is the volume of a cube that has a side of 4 units?

Answers

Answer: 64units³

Step-by-step explanation:

The volume of a cube will be gotten by multiplying the value of its side thrice. This means that for example if the cube has a side of xcm, the volume will be:

= x × x × x

= x³

In this case, since the cube has a side of 4 units, the volume will be:

Volume of cube = 4³

Volume of cube = 4 × 4 × 4 = 64unit³

Between which x-values and y-values does the cluster lie?

Answers

Answer:

Here is the picture

Step-by-step explanation:

The number lies between x-values 4 and 6 and y-values 6 and 9.

What are coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

Given that scatter plot lies in quadrant 1 of a coordinate plane, and the 14 points are plotted in the first quadrant.

We need to find the range of x and y values for this scatter plot.

The x values of the 14 points are given as;

2, 4, 4,1, 5, 5, 5, 5, 6, 6, 7, 8, 9.5, 9.5

The y values of the 14 points are given as;

5, 6, 9, 7.2, 6, 6.8, 8, 9, 7, 8.5, 10, 10.5, 9.5, 11.4

We can conclude that that most of the points are clustered between x-values 4 and 6 and y-values 6 and 9.

Therefore, the points are clustered between the x-values 4 and 6 and y-values 6 and 9.

To learn more about the coordinates;

brainly.com/question/27749090

#SPJ7

The complete question is

Select the correct answer. Scatter plot in quadrant 1 of a coordinate plane. 14 points are plotted at (2, 5), (4, 6), (4, 9), (4.1, 7.2), (5, 6), (5, 6.8), (5, 8), (5, 9), (6, 7), (6, 8.5), (7, 10), (8, 10.5), (9.5, 9.5), and (9.5, 11.4). Between which x-values and y-values does the cluster in this scatter plot lie? A. It lies between x-values 2 and 4 and y-values 4 and 6. B. It lies between x-values 4 and 6 and y-values 9 and 10. C. It lies between x-values 4 and 6 and y-values 6 and 9. D. It lies between x-values 7 and 9 and y-values 10 and 11.

Ashley started washing at 10:28 AM and finished at 10:41 AM.
How long did it take her? Give your answer in minutes.

Answers

Answer:

13 minutes

Step-by-step explanation:

The reason why it is 13 minutes is because you subtract 10:41 AM from 10:28 AM and you get 13 minutes.

Answer:

13

Step-by-step explanation:

41-28= 13

the hours don't change so you just need to subtract the minutes

Given that the triangles shown below are similar, what is the value of x? 32 20 H 48M P A. 96 B. 10.7 C. 24 D. 20

Answers

Answer:

I DONT SEE TRIANGLES

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!

Answers

Answer:

I think it's 18

Step-by-step explanation:

because I'm looking at 12/8 to be a ratio, that means that the size of the bigger figure had decreased by 12/8 or 1.5

then I divided the 27 by 1.5 to get the area of the small one which was 18.

Can you help me with Math

Answers

Answer:

42+106=x

148=x

Step-by-step explanation:

answer would be x= 148 i think

Please look at the image

Answers

Answer:

value for X

3x-4 =41

3x =41+4

3x =45

x =15

Two parallel lines cut by a transversal are shown. What is the value of X, in degrees?

Answers

9514 1404 393

Answer:

  x = 15°

Step-by-step explanation:

Same-side interior angles are supplementary.

  (4x° +12°) + 108° = 180°

  4x° = 60° . . . . . . . . . . . . . . subtract 120°

  x = 15° . . . . . . . . . . . . divide by 4

will give brainliest

Answers

Answer:

Step-by-step explanation:

1/48 + 5/6    

The LCD of 48 and 6 is 48 so we have:

1/48 + 40/48

= 41/38

Answer:

41/48

Step-by-step explanation:

LINK=REPORT

(4^2)^3=

A. 4^5
B. 4^6
C. 8^5
D. 16^5


(5^2)(5^3)=

A. 5^5
B. 5^6
C. 10^5
D. 25^5


(3^4)(3^5)=

A. 3^9
B. 9^9
C. 3^20
D. 6^20


Which is equivalent to 2^3•2^-5?

A. 2^-15
B. 2^-8
C. 2^-2
D. 2^2

If you answer all four of them and they are right I will give brainliest!

Answers

Answer:

a) 4^6

b) 5^5

c)3^9

d)2^-2

Step-by-step explanation:

When raising a number to a power and then to another power, you can multiply the exponents.

When multiplying numbers with the same base to different exponents, you can add the exponents.

Bert measured a swimming pool and made a scale drawing. The scale of the drawing was
1 centimeter = 1 meter. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
Submit

Answers

1/100
Each meter is 100 centimeter

Two gamblers, call them Gambler A and Gambler B flip a coin repeatedly. The coin is unfair and comes up heads 2/3 of the time. Gambler A wins one dollar from Gambler B, when a head is tossed. Conversely Gambler B wins one dollar from Gambler A when a tail is tossed. The coin tosses are independent. The game ends when one of the gamblers runs out of money. There are 5 dollars in the pot. Determine the probability that Gambler A wins the game if he starts with I dollars. Here I

Answers

Answer:

≈ 0.52

Step-by-step explanation:

P( head ) = 2/3 , P( tail ) = 1/3

when a head is tossed ; Gambler A wins $1

when a tail is tossed : Gambler B wins $1

Determine the P( Gambler A wins the game ) if he starts with I dollars

Assuming I = $1

n = 5

p ( head ) = P( winning ) = 0.66

p( losing ) = 0.33

applying the conditional probability in Markov which is ;

Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁

P( 1) = 0.66P₂ + 0.33P₀

resolving the above using with Markov probability

P( 1 ) = 0.51613

hence the probability of Gambler A winning the game if he starts with $1

≈ 0.52

Write the word sentence as an inequality.

Three times a number h is at least -12 .

Answers

Answer:

Step-by-step explanation:

3h<-12

Answer:

3h [tex]\geq[/tex] -12

Step-by-step explanation:

"3 multiplied by a number h" = 3h // "Is at least" = [tex]\geq[/tex] // -12 = -12

Combine these and you get 3h [tex]\geq[/tex] -12

The Unit Circle

What is the domain of a sine function?

a. positive numbers
b. All real numbers
c. negative numbers
d. positive numbers including zero

Please select the best answer from the choices provided

Answers

Answer:

B. All real numbers

Step-by-step explanation:

I calculated it logically

Answer:

I believe it is all real numbers

A circle has a radius of 4 inches. What is
the circumference?
A.25.12 inches
B.12.56 inches

Answers

Answer:

4 x 3.14 x 2 = 25.12 inches

Step-by-step explanation:

Formula of circumference:

3.14(pi) x 2(the number is just always there when finding circumference) x radius(half of your diameter or just your given radius).

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis​ test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that d​3.125, ​2.911, and n​8, and that you wish to test the hypothesis below at the​ 10% level of significance. What decision rule would you​ use? ​: 0 against ​: 0

Answers

Answer:

Decision Rule

The critical region for one tailed test with 7 d.f is t > 1.415 for

H0 : ud ≤ 0 against the claim Ha: ud > 0

Step-by-step explanation:

The data given is

Population mean = ud= 0

Sample difference mean = d`= 3.125

Sample difference standard deviation = sd= 2.911

Sample size= n= 8

Formulate the null and alternate hypotheses as

H0 : ud ≤ 0 against the claim Ha: ud>0

The significance level ∝= 0.1

The degrees of freedom = n-1 = 8-1 = 7

The critical region for one tailed test with 7 d.f is t > 1.415

The test statistic is

t= d`- ud/ sd/ √n

Putting the values

t= 3.125-0 / 2.911/√8

t= 3.125/1.0292

t= 3.036

since the calculated value of t falls in the critical region we reject the null hypothesis .

Ms. Lin’s son likes to lift weights. He was lifting 125 pounds last year. This year he can lift 35 more pounds. How much weight can he lift this year?

Answers

Answer:

He can lift 160 pounds

Step-by-step explanation:

125 (from last year) + 35 (more pounds) = 160 (total pounds)

125 + 35 = 160

NEED THIS BY FRIDAY ! I HAVE MORE UNANSWERED QUESTIONS ON MY PAGE!!

Answers

Answer:

2, 3, 4 (up to down)

Step-by-step explanation:

Rational: can be terminating, repeating, in a fraction

Irrational: Not terminating (ending), doesn't repeat (o.33333....), and you can't put it in a fraction

Hope this helps!!

p.s. brainliest plz

What does area mean? When you are asked to find the
area what are you doing?

Answers

Answer:

you want to muliply the length and width to find area.

Step-by-step explanation:

Please help me out! I really need to get this done.

Answers

A. Range (0,4)
B. Range (0,0)
A. Domain All real numbers
B. Domain all real numbers

i’m not too sure about the domain but I’m pretty sure it’s all real numbers because of the arrows at each end of the line

A b c or d?? Lmk..Brainly

Answers

Answer:

28.3 (b)

Step-by-step explanation:

To solve circumference, you will need to use the equation C = 2 *pi* r

for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it

C= 2 pi (4.5)             Solve 2*4.5

C= 9 pi                     Now we input 3.14 for pi and multiply

C= 9(3.14)

C= 28.26                  Now we round to the nearest tenth to get

C=28.3

What is the mean ? 50, 55, 58, 58, 90, 92, 99

Answers

sum of observations

mean =..........................

no. of observations

50+55+58+90+58+92+99 502

....................................... = .........= 71.7

7 7

awnser is 71.7

hope this helped

Name the circle part L shown in the figure.

O Arc
O Sector
O chord
O radius

Answers

Answer:

Step-by-step explanation:

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