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



The radius of the circle 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.

Answers

Answer 1

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

We are given a circle with the equation:

[tex]x^2+y^2-2x-8=0[/tex]

And we want to select the statements that are true.

First, we can convert the equation into standard form. We can group each variable:

[tex](x^2-2x)+(y^2)=8[/tex]

And complete the square for the first term:

[tex](x^2-2x+1)+(y^2)=8+1[/tex]

Factor and simplify:

[tex](x-1)^2+y^2=9[/tex]

We can rewrite our equation as:

[tex](x-(1))^2+(y-(0))^2=(3)^2[/tex]

So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.

In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).

Answer 2

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

i got it right on edg if right mark as brainliest


Related Questions

Juan is shopping for school supplies. He bought a pencil case for $5.00, but now he needs pencils to go inside it. Each box of pencils is $3.00. Let t represent the total cost, and b represent each box of pencils. Determine the dependent and independent variables, write an equation to represent this relationship, and then complete the table to show the total cost with 1 to 5 boxes of pencils.

Answers

Answer:

idek

Step-by-step explanation:

eight more than four times a number is 28

Answers

Answer:

Equation is 4x+8=28

x = 5

Step-by-step explanation:

4x+8=28

4x=20

x=5

Answer: -1

Step-by-step explanation:

can someone help me wit dis plz​

Answers

Answer:

58.6

Step-by-step explanation:

cos(35) = 48

             ------- = 58.6

                 x

             

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:c. 18j+10p=95.42

11j+16p=53.33

Step-by-step explanation:

j stands for journals and p stands for pencils and what goes after the = is the amount payed

Amina's posted a video online and received 63 likes Amina had 7 times more likes than rebeccas video

Answers

Answer: 9 likes

Step-by-step explanation:

Question is incomplete but assuming the question is to find out the number of likes that Rebecca's video had, it was:

Amina had 63 likes and this is 7 times more than Rebecca's.

Assume Rebecca's are x:

7x = 63

x = 63/7

x = 9 likes

Can Someone please write a 6 to 15 essay really quick about finding the area of a shape or irregular shape I WILL GIVE YOU 30 POINTS PLEASE ASAP

Answers

Answer: the areas of irregular shapes can be find by calculating the areas. To find area of a figure which is a combination of rectangles and a squares, you have to calculate the area of each figure separately and then add them to find total area.

Step-by-step explanation:

please helppp
Determine if the side lengths 6, 11, and 19 form a triangle. If it is a triangle, classify it by its sides.

scalene triangle
equilateral triangle
isosceles triangle
It's not a triangle.

Answers

Answer:

Its not a triangle

Can someone answer this question?

Answers

Answer:

1. y = 3x + 11

2. 2

Answer:

3 is slope for #1

2 is the y intercept for #2

Step-by-step explanation:

Using the example, fifteen people take out a slip of paper from the bucket without looking and record the results before replacing the slip back into the bucket. How many times is a slip labeled “5” expected to be drawn? Example: The numbers from 1 to 5 are written on slips of paper and placed in a bucket. P= 1/5

Answers

Answer:

5 is expected to be drawn 3 times

Step-by-step explanation:

Hope this helps

How many different ways can you solve a quadratic equation ? List them.

Answers

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

If the ratio of blue blocks to red blocks is 5:7,
what is the ratio of red blocks to blue blocks?

Answers

Answer: 7:5

Step-by-step explanation: You just reverse it.

Since the ratio of blue blocks to red blocks is 5:7, you’d need to flip it in order to get the ratio of red blocks to blue blocks. This would be 7:5.

The perimeter of a triangle is 27. Each side of the triangle has length 2x-3. What is the value of x?

Answers

Answer:

x=6

Step-by-step explanation:

To find the perimeter of the triangle you need to add up all the sides, so if all the sides are 2x-3 the equation will look like this;

2x-3+2x-3+2x-3=27

which when combining like terms will leave it to be;

6x-9=27

Than move all the factors besides x over to the right side;

6x-9+9=27+9

6x = 36

6x/6 = 36/6

x = 6

so your answer will be x=6

I need the answer for Number six

Answers

Step-by-step explanation:

Although I can't give you a written answer, here's how you do it.

For y = -x + 7,  we know 7 is our y coordinate, so place a point on 7 on the y axis.

-x is equal to -1/1, so when graphing the line, go down 1 over 1 and place your point. Continue until you reach the edge of the graph.

For 5x + 5y = 10, subtract 5x from the left side of the equation. This will leave you with:

5y = -5x + 10. Divide every term by 5, leaving you with y = -x + 2. Your teacher may want you to phrase this as y = 2 - x.  2 is your y coordinate, and once again -x is -1/1. Start at 2 and go down 1 over 1 on the graph.

-7(6a - 3) - 2a = -27 + 4a

Answers

the letter a is 1
good luck!!!!!!!

What is the result when the number 27 is increased by 1.6%?

Answers

Answer:

27.432

Step-by-step explanation:

27 = 100%

divide by one hundred to get one percent

0.27 = 1%

Divide this by two to get 0.5%

0.135 = 0.5%

Divide by 5 to get 0.1%

0.027 = 0.1%

Add

0.27 + 0.135 + 0.027 = 0.432 =1.6%

Add 0.432 to 27

27.432

35
Mr. Brown is flying his single-engine plane at an altitude
of 1800 feet. He sees a cornfield at an angle of
depression of 35º. Which equation can be used to find
Mr. Brown's approximate straight line distance, s, from
the cornfield at this point?
1800

Answers

Answer: c

Step-by-step explanation:

Plz help due tomorrow

Answers

Answer:

A is the first step

Step-by-step explanation:

In a system of equations, two different lines intersect. How many solutions does the
system have?
a) Zero
b) One
c) Two
d) Infinitely many

Answers

A) One
If the line is intersecting and is parallel then the line will only intersect once at one point

Which equation would pass through the origin and have a slope of 5/3

Answers

Answer:

y=5/3x

Step-by-step explanation:

Answer:

y=5/3x

Step-by-step explanation:

The width of a rectangle is 4x^3y feet and the length of the rectangle is 9xy^5 feet. Which expression represents the area of the rectangle in square feet?

Answers

Area of the rectangle is 36x⁴y⁶ feet square

Area of rectangle:

Given that;

Width of a rectangle = 4x³y feet

Length of the rectangle = 9xy⁵ feet

Find:

Area of the rectangle

Computation:

Area of the rectangle = (l)(b)

Area of the rectangle = (4x³y)(9xy⁵)

Area of the rectangle = 36x⁴y⁶ feet square

Find out more information about 'Area of the rectangle'

https://brainly.com/question/14383947?referrer=searchResults

Find the slope given the following points:
(-1, 2) (3,5)

Answers

Answer:

The slope is [tex]\frac{3}{4} \\[/tex]

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]m = \frac{5-2}{3-(-1)} = \frac{3}{4}[/tex]

PLEASE HELP QUICKLY !!!!!!Select all the expressions that are equivalent to 78.7.
73.73
(73)3
74 +
74.75

Answers

Answer: 7^18/7^9, (7^3)^3 & 7^4 * 7 ^ 5.

The second, third & last options are the answers

These equations equal 40,353,607 btw

How do u solve for x

Answers

Answer:

try adding the equations together

You bought concert tickets that cost
$315. The sales tax rate is 8%.
1. How much tax will you pay?
2. What is the total amount?

Answers

Single ready to mingle

Step-by-step explanation:

I need the answer fast ASAP

Answers

Answer:

a rotation followed by a dilation

Step-by-step explanation:

they first rotated the figure by 90 degrees, they then dilated by a scale factor of 3

dil, Coleman
Jackie has a closet with 6 red dresses and 2 blue dresses. What is the likelihood of Jackie pulling a red dress out of the closet if she does it without looking?
O certain
likely
O impossible
O unlike

Answers

Answer: likely

Step-by-step explanation: Since they pulled out many red dresses, there is a better chance of pulluing out a red dress

What is the length of each leg of the triangle below?
O A. 15
O B. 11.3
O c. 11
O D. 1
O E. 11
O F. 22

Answers

Answer:-
(Apply the formulas urself)
Acc. to Pythagoras theorem:
>> a^2 + b^2 = c^2

>> sinθ = P/H
cosθ = B/H
tanθ = P/B

Note: P means Perpendicular
B means Base
H means Hypotenuse

The length of the base of a right triangle is twice the height. If the height is ten meters, find the area of the right triangle. A 20m2 B 60m2. C 100m2. D 200m2

Answers

Answer:

Area = 100m²

Step-by-step explanation:

Given :

Height of triangle = 10 m

Length of base = 2 * height = 2 * 10 = 20 m

Area of right angle triangle :

1/2 * base * height

Area = 1/2 * 20 * 10

Area = 0.5 * 10 * 20

Area = 100m²

if cot a =5/12 then find the value of cosec A​

Answers

Answer:

cosec A = 13/12

Step-by-step explanation:

Mathematically, we want to find the value of cosec A

sides 5,12 and 13 represent a Pythagorean triple. This means the last side of the right-triangle that contains 5 and 12 is 13

cot is the ratio of the adjacent to the opposite

Hence ; 5 represents the adjacent while 12 represents the opposite

cosec is the inverse of sine which is the hypotenuse to the opposite ratio

So, we have ;

cosec A = 13/12

solve em for me please

Answers

Take another pic thats clearer
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