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
tigry1 [53]
1 year ago
10

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir

cle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Mathematics
1 answer:
FromTheMoon [43]1 year ago
3 0

The statements which are correct about the equation of circle x^{2} +y^{2}-2x-8=0 are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is x^{2} +y^{2} =9.

Given the equation of circle be x^{2} +y^{2}-2x-8=0.

We are required to find the appropriate statements related to the equation x^{2} +y^{2}-2x-8=0.

x^{2} +y^{2}-2x-8=0 can be written as under:

x^{2} +y^{2} -2x+1-9=0

x^{2} +1^{2}-2x+y^{2} -9=0

(x-1)^{2}+y^{2}-9=0

(x-1)^{2} +y^{2} =9

(x-1)^{2}+y^{2}  =3^{2}

Equation of a circle usually in the form x^{2} +y^{2} =a^{2} in which a is radius.

From the comparison of both the equations we get that radius is 3 units.

From the equation point will be (1,0). It is on the x axis.

Hence the statements which are correct about the equation of circle x^{2} +y^{2}-2x-8=0 are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is x^{2} +y^{2} =9.

Learn more about radius at brainly.com/question/24375372

#SPJ1

You might be interested in
Ivory says that the equation 2x+2=x+1 has no solution because the left-hand side is double the right-hand side. Is Ivory Correct
lorasvet [3.4K]

Answer:

No, Ivory is incorrect. The equation does have a solution, and the solution is x = -1.

Step-by-step explanation:

We try to solve the equation first.

2x + 2 = x + 1

We want all variables on the left side and all numbers on the right side.

Subtract x from both sides.

x + 2 = 1

Subtract 2 from both sides.

x = -1

Check: Plug in -1 for x on both sides and see if it makes a true statement.

2x + 2 = x + 1

2(-1) + 2 = -1 + 1

-2 + 2 = 0

0 = 0

0 = 0 is a true statement, so the solution x = -1 is the correct solution.

Answer: Ivory is incorrect. The equation does have a solution, and the solution is x = -1.

8 0
2 years ago
Tanner collected 360 cans and bottles while fundraising for his baseball team. This was 40% of what Reggie collected. How many c
Vanyuwa [196]
The amount Reggie collected is equal to x
\frac{360}{.4}= \frac{x}{1}

x =  \frac{360}{.4} =  \frac{360}{ \frac{4}{10} } =  \frac{360*10}{4} = 900


4 0
3 years ago
Read 2 more answers
Find the distance :
faltersainse [42]
1. You would do 45 × 3 = 135 miles
2. 630 ÷ 2 = 315. 630 + 315 = 945 miles
3. 54 × 11 = 594 miles

1. Time is distance ÷ speed, so 4760 ÷ 560 = 8 1/2hours
2. 27 ÷ 54 = 0.5 hours, or 30 minutes
3. 1748 ÷ 437 = 4 hours

I hope this helps!
4 0
3 years ago
17. What are the three angle measures in the triangle shown below?
lianna [129]

Answer:

Option (1)

Step-by-step explanation:

By using triangle sum theorem in the given triangle,

(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°

(5x + 11x + 3x) - (7 + 4 - 1) = 180

19x - 10 = 180

19x = 190

x = 10

Therefore, (3x + 1)° = 30 + 1

                                = 30°

(11x - 4)° = 110 - 4

              = 106°

(5x - 7)° = 43°

Therefore, Option (1) will be the correct option.

4 0
3 years ago
Giving brainiest
mestny [16]

Answer:

7x2 is 14

I will adopt you

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Predict how much money can be saved without having a negative actual net income.
    7·1 answer
  • Please Help, I need to get a good grade!
    12·1 answer
  • ***PLEASE HELP***You want to run 26.2 miles in 3.5 hours or less. Which inequality describes the rate, r, you should maintain to
    14·2 answers
  • Cameras
    10·1 answer
  • Kelly is a sales associate for All About Sports T-shirt Shop. Her job is to travel to various retail stores and sell them their
    6·1 answer
  • A solid cube of side 18 cm is cut into 8 cubes of equal volume what will be the side of the new cube ? Also find the ratio betwe
    7·2 answers
  • 30-3x3/3+8(2) can someone give me an explanation for how they got the answer?
    13·1 answer
  • Translate the phrase into an algebraic expression.<br> 8 less than x
    13·1 answer
  • Why is this correct?
    6·1 answer
  • Help me pls I’ll mark you as brainliest!!:) geometry btw
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!