Mathematics High School

Find the center and radius of this circle. Write the equation of this circle in graphing form and general form. Show your work.

I will give brainliest.

Answers

Answer 1

center: (-1,1)
radius: 3

y= (x+1)(y-1)= 9

Answer 2

Answer

5.0/5

Hulkk

Ace

973 answers

2.2M people helped

Answer:

The center of the circle;

(2, -1)

The radius of the circle;

r = 4

Step-by-step explanation:

The first step is to complete the square on both x and y;

x^2 + y^2 -4x + 2y - 11 = 0

x^2 -4x +y^2 +2y = 11

We determine c1 to complete the square on x;

c1 = (b/2)^2

c1 = (-4/2)^2 = 4

We then determine c2 to complete the square on y;

c2 = (2/2)^2 = 1

The equation of the circle is then re-written as;

x^2 -4x + 4 +y^2 +2y + 1 = 11 +4 +1

We then factorize the expressions in x and y separately;

(x-2)^2 + (y +1)^2 = 16

The center of the circle is thus;

(2, -1)

The radius is the square root of 16;

r = 4

find the attached.

Related Questions

What is the measurement for the missing angle? 32° 24°

Answers

Answer:

12 degrees

Step-by-step explanation:

Check if x=-1 is a solution to x3 + 3x^2 = x+3. Which statement do you get?
A. 1=1
B. 0=0
C. 4= 4
D. 2 = 2

Answers

Answer:

D. 2 = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

x³ + 3x² = x + 3

x = -1

Step 2: Check

Substitute in x: (-1)³ + 3(-1)² = -1 + 3Evaluate exponents: -1 + 3(1) = -1 + 3Multiply: -1 + 3 = -1 + 3Add: 2 = 2

What are the 2 primary algebraic methods to solve a system of equations?

Answers

There are 2 methods to solve a system of linear equations: direct methods and iterative methods. In this article, we will use the direct methods, in particular, Gauss-method. How to Solve a System of Linear Equations? Since most often time we work with data with many features (or variables).

Answer:

método de sustitución, el de reducción y el de igualación

Step-by-step explanation:

te escribí 3 aunque tu me dijiste 2 pero yo ya escribí 3

pero espero que te alla servifo de algo mi respuesta dame corona si te sirvio

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

i believe the answer is the first one

Answer:

1st

Step-by-step explanation:

Acre 10 bacteria population triples in size every day. Suppose a sample starts at 600 bacteria. He looks passion below models the number of bacteria in the sample after X days.And evaluate the expression for X=0, X=2, and X=3

Answers

Answer:

See below.

Step-by-step explanation:

Plug in each value for x .

[tex]x=3 \Rightarrow 600\cdot 3^3 = 600\cdot 27=16200\\\\x=0\Rightarrow 600\cdot 3^0=600\cdot 1 = 600\\\\x=2\Rightarrow 600 \cdot 3^2=600\cdot 9 =5400[/tex]

please help im reallyyyy desperate
NO LINKS OR FILES

Answers

Answer:

(2, -3), (3, -3)

Step-by-step explanation:

y = x^2 - 5x + 3

y = -3

x^2 - 5x + 3 = -3

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0

x - 3 = 0 or x - 2 = 0

x = 3 or x = 2

We are given y = -3.

Answer: (2, -3), (3, -3)

Answer:

(2, -3) , (3, -3)

Step-by-step explanation:

One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,

[tex]f(x)=x^2-5x+3[/tex]

Set this equation up, and solve to find the value of (x) that satisfies this requirement:

[tex]f(x)=x^2-5x+3=-3[/tex]

Inverse operations,

[tex]x^2-5x+6=0[/tex]

Factor, rewrite the quadratic equation as the product of two linear equations,

[tex](x-2)(x-3)=0[/tex]

Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.

(2, -3), (3, -3)

what is the answer here??

Answers

Answer:

$225

Step-by-step explanation:

if 1% of 1700 is 17, then multiply 17 by 15, which i 255. so you spent $225 on tuition

What is the value of x?

Answers

Answer:

x = 80 degrees

Step-by-step explanation:

First look at the upper triangle. There are two 65 degree angles there, along with two equal sides. The angles must sum up to 180 degrees. Therefore:

2(65) + x = 180; thus, the value of x is 50 degrees.

Next, recognize that the vertical angles in the middle of the diagram are equal and are 50 degrees each. Thus, the smaller triangle has two 50-degree angles. Again we sum up the angles, obtaining 50 + 50 + x = 180, or x = 80 degrees

Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?

The graph of g(x) is the graph of f(x) shifted 6

A.units to the left
B.units up
C.units to the right
D.units down

Answers

Answer:

c. units to the right

Step-by-step explanation:

it would be units to the right because it's +6 meaning it moves to the right.

Answer:

6 units upwards

Step-by-step explanation:

1) Squeaky Clean takes their 41-foot ladder to a new building
that is 25 feet tall. What is the furthest away they can put the
base of their ladder from the building and still reach the top?
Round your answer to the nearest foot.

Answers

Answer: 32 ft

Step-by-step explanation: The ladder and the building and the ground form a right triangle will ladder being the hypotenuse....

pythagorean theorem hyp2 = 252 + d2

41^2 - 25^2 = d^2 d =~~ 32 ft

cited from web2.0calc

What is 482.073 expressed in word form?

Answers

It’s four hundred eighty two and seventy three hundredths

Express the following in the form a + bi, where a and b are real numbers:
[tex] \sqrt{60i - 11} [/tex]

Answers

The equivalent of the complex number expression is [tex]\sqrt{60i - 11}[/tex] is 2 + 15i

How to rewrite the expression?

The complex number expression is given as:

[tex]\sqrt{60i - 11}[/tex]

Rewrite as:

[tex]a + bi = \sqrt{60i - 11}[/tex]

Take the square of both sides

[tex]a^2 + 2abi - b = 60i - 11[/tex]

By comparison, we have:

a^2 - b = -11

2ab = 60

Divide both sides by 2

ab = 30

Using a graphical tool, we have:

a = 2,b = 15

So, we have:

a + bi = 2 + 15i

Answers

Answer: 2.25

Step-by-step explanation:

Qué número multiplicado por – 10 da 90 DOY CORONA CHIQUILLOS CORAZON Y 5 ESTRELLAS!

Answers

Sería -9 porque
-10 x -9=90

what is the answer to this question 600-9484

Answers

Hello~

The answer is

-8884

Brainliest please!

Ary~

[tex]\boxed{-8884}[/tex] ✅

Step-by-step explanation:

[tex]600 - 9484 \\ = - 8884[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

the price of an item been reduced by 65% the original price was $63

Answers

Answer:

$22.05

Step-by-step explanation:

65% x $63 = $40.95

$63 - $40.95 = $22.05

Hal is thinking of a number. If he multiplies his number by three and then adds 4, he gets 25. What is Hal’s number?
a. Write an equation to represent the situation.

Answers

Answer:

Step-by-step explanation: Ok this coming from a 11 year old. if 7x3= 21 then add 4 its 25 simple

will name brainliest

Answers

Answer:

a=12

Step-by-step explanation:

We must use SOH, CAH, TOA

SOH= Sin0=opp/hyp

CAH=Cos0=adj/hyp

TOA= Tan0=opp/adj

Since we have opposite and hypotenuse we use Sin ratio, in this case,

sin30°= [tex]\frac{a}{24}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply

[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself

a=12

Answer:

a = 12

Step-by-step explanation:

To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;

Sin(30) = [tex]\frac{a}{24}[/tex]

Sin(30) * 24 = a

12 = a

Hope this helps!

11x + 2 = 2x -7
Please explain how you did the work and how you got your answer

Answers

Hi I just typed the question on desmos if you would like me to explaining out word by word I can also I got -1

Which function would best represent “each ink cartridge purchased for a printer costs $12”.
Linear
Exponential
Quadratic

Answers

the anwser is linear

Find the Area of this shape, please.

Answers

Answer:

149cm^2

Step-by-step explanation:

big brain

Answer:

114cm²

Step-by-step explanation:

Okay, so you can split this thingy up into a rectangle and another rectangle, so that's what we're going to do (see pic below)

So now we take off that 7 from the 13:

13 - 7 = 6

So now we find the area of that little area:

6 x 5 = 30

Now we do the other rectangle:

12 x 7 = 84

Now we add them together:

84 + 30 = 114

So the area of the shape is 114cm²

hope this helps:)

pls help. this is also math if you can help tysm

Answers

Answer:

a,d,e,f

Step-by-step explanation:

Trust me

I need the answer to x

Answers

Answer:

x = 14

Step-by-step explanation:

arc JL = 180° ( JL is a diameter ), then

arc KL = 180° - 31° = 149° , so

9x + 23 = 149 ( subtract 23 from both sides )

9x = 126 ( divide both sides by 9 )

x = 14

Answer:

X=14

Step-by-step explanation:

360-31-31=298

298/2=149

149-23=126

126/9=14

Bernice uses the equation C = 2h + 8 to find the total cost, C, in dollars, of renting a boat for h hours. If Bernice does not spend more than $32, what is the maximum number of hours she can rent the boat?
a 8
b 12
c 20
d 22

Answers

Answer:

Step-by-step explanation:

Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.

Isolate h to find the maximum number of hours she can rent the boat:

2h + 8 ≤ 32

First, subtract 8 from both sides.

2h ≤ 16

Then divide both sides by 2.

h ≤ 8

h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.

Find the length of the radius. Assume that lines which appear to be tangent are tangent.

Answers

The Answer Is 7.5

Tangent and 8 makes a right triangle, which is great because you could find the diameter and divide it by 2 to find the radius.

64+d^2=289

d^2=225

d=15

15/2=7.5

The diameter of a circle is 12 cm. Find the circumference to the nearest tenth

Answers

Answer:

Step-by-step explanation:

38 or 37.7 when not rounded

hope this helps

what is the value of 4! + (18 - 13)!?

plzz help me...

Answers

Answer:

Step-by-step explanation:

4+(18-13)

4+(5)

mark me brainliest

Answer:

[tex]4i + 5i = 4i \times (1 + 5) = 4 \times 3 \times 2 \times 1 \times 6 = 144[/tex]

Solve the system of equations.
57 - 10x = 45
-
- 3y + 10x = -5

Answers

Answer: Step-by-step explanation:

57 - 10x = 45

-10x=-12

x=1.2

- 3y + 10x = -5

-3y+10=-5

-3y=-15

y=5

Answer:

1) 57 - 10x = 45 answer: x=−51/5

2) - 3y + 10x = -5 answer: x=3/10y+−1/2 or y=10/3x+5/3

Step-by-step explanation: Hope this help :D

The area of the base of a cylinder is 50.2cm2. The volume of the cylinder is 502.4cm3. Determine the height of the cylinder

Answers

Answer:

Step-by-step explanation:

Find the area of the parallelogram

Answers

Answer:

Step-by-step explanation:

base times height

your base is 14 and height is 3

so your answer is 42

Other Questions

Answer fast pleaseRead this passage from "The American Dream."One of the first things we notice in this dream is an amazing universalism. It does not say some men, but it says all men. It does not say all white men, but it says all men, which includes black men. It does not say all Gentiles, but it says all men, which includes Jews. It does not say all Protestants, but it says all men, which includes Catholics.Which is the most likely reason that the speaker repeats the word men in the passage?Men functions as a keyword that helps create a rhythm.Men emphasizes the subject the speaker is interested in discussing.Men functions as a key point in the speakers logical argument.Men emphasizes the differences the speaker wants to show. Which of the following organelles is in plant cells, but not animal cells? What does a good education mean to you? can someone tell me what these two phrases are supposed to mean? Shen made $25,000 in taxable income last year.Suppose the income tax rate is 10% for the first $7000 plus 15% for the amount over $7000.How much must Shen pay in income tax for last year? If the amount of food or resources available increases, the carrying capacity for an animal would? Read the following run-on sentence:Slowly and carefully the little gray mouse licked the last bit of peanut butter off the trap he darted behind the comer of thewashing machine and disappeared.Which of the revisions corrects the sentence?Slowly and carefully, the little gray mouse licked the last bit of peanut butter. Off the trap he darted behind the comer of theowashing machine. He disappeared.Slowly and carefully, the little gray mouse licked. The last bit of peanut butter off the trap, so he darted behind the comerof the washing machine and disappeared.Slowly and carefully the little gray mouse licked the last bit of peanut butter off the trap; he darted behind the corner of thewashing machine and disappeared.Slowly and carefully the little gray mouse licked the last bit of peanut butter off the trap. He darted behind the corner of thewashing machine. And disappeared. If a student likes hotdogs, what is the probability that student also likes burgers? 93.8% 50.7% 42.1% 39.5% LGON SENO REPLISsymbol Please I will mark brainliest and 75 pointsUse page numbers and quotations to write a three- to five-sentence paragraph about the resolution from your novel or short story. Remember to include the title and author or the novel or short story. delany the 16 year oldUse page numbers and quotations to write a three- to five-sentence paragraph about one theme from your novel or short story. Remember to include the title and author or the novel or short story. Why is it significant that this letter from Maria Perkins is the only record of her family'smovement? Is (-2, 4) a solution of the graphed inequality? Presente Progresivo:Fill in the blank with the correct conjugation of the verb given in the present progressive. Rememberthat there will be two parts to each answer.6. El avin (llegar) al aeropuerto. Scientists once thought that life spontaneously arose from nonliving things. It took extensive experimentation and the invention of new technology to confirm the tenets that now make up the cell theory. Now, we don't even question that cells are the basic units of life and only come from preexisting cells. What technology had the biggest impact on the development of the cell theory? centrifugeelectrophoresismicroscopetelescope An equation that is true for all real numbers for which both sides are defined is called a(n) what were the countries in world war ||giving brainly Find the surface area of theregular hexagonal prism.4 cm 12 cm3.5 cm LINKS WILL BE REPORTED BRAINLIEST IF CORRECTHow do you think Charles Halperin would answer our question: Were the Mongols barbaric or "uniquely" civilized? The chemical reaction between water and magnesium is? please help with this practice sheet my parents gave me (show work pls)

Find the center and radius of this circle. Write the equation of this circle in graphing form and general form. Show your work. I will give brainliest.

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Find the center and radius of this circle. Write the equation of this circle in graphing form and general form. Show your work.

I will give brainliest.