What is the center of the circle represented by the equation x2 + y2 - 4x + 2y + 1 = 0?

Answers

Answer 1

Answer:(2,-1)

Step-by-step explanation:

Answer 2

The required center of the given circle is given as (2, -1).

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 coordinate plane and r is the radius of the circle.

Here,
The standard form of the equation of the circle s is given as,
x² + y² -2hx -2ky + c = 0

Given the equation of the circle is
x² + y² - 4x + 2y + 1 = 0

Comparing the equations,
-2h = -4
h = 2

-2k = 2
k = -1

Thus, the required center of the given circle is given as (2, -1).

Learn more about circle here:

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Related Questions

the riding lawn mower that alejandro has on his farm has the top speed of 8 km/h. What is a lawn mowers top speed in meters per hour?

Answers

Answer:

Step-by-step explanation:

800

Answer:

oh we late

Step-by-step explanation:

Computisional Science

Answers

Answer:

Computational science is a discipline concerned with the design, implementation and use of mathematical models to analyse and solve scientific problems. Typically, the term refers to the use of computers to perform simulations or numerical analysis of a scientific system or process.

Step-by-step explanation:

25 is what percent of 30? (don't forget the % sign and round your answer to the nearest hundredth)

Answers

Answer:

83.3% (.3 is recurring)

Solve the equation below for x.

cx-4=7

A. x=c/3
B. x=3/c
C. x=11/c
D. x=c/11

Answers

Answer:

x = 11/c

Step-by-step explanation:

Solve for x:

c x - 4 = 7

Hint: | Isolate terms with x to the left-hand side.

Add 4 to both sides:

c x = 11

Hint: | Solve for x.

Divide both sides by c:

Answer: x = 11/c

find the measures of arc FBD

Answers

Answer:

Option (4)

Step-by-step explanation:

[tex]m(\widehat{FC})[/tex] = 180° [FC is the diameter]

[tex]m(\widehat{FC})=m(\widehat{FB})+m(\widehat{BC})[/tex]

180° = 125° + [tex]m(\widehat{BC})[/tex]

[tex]m(\widehat{BC})=180-125[/tex] = 55°

[tex]m(\widehat{FBD})=360-m(\widehat{FED})[/tex]

               [tex]=360-[m(\widehat{FE})+m(\widehat{ED})][/tex]

               [tex]=360-[m(\widehat{BC})+m(\widehat{ED})][/tex] [Since [tex]m(\widehat{FE})=m(\widehat{BC})[/tex] arcs created by vertical angles]

               [tex]=360-(55+56)[/tex]

               = 249°

Therefore, Option (4) will be the answer.

Write an equation for the line that passes through (4, 5) and (6, 7).
|

Answers

Answer:

The equation in slope-intercept form would be y=1x+1

Step-by-step explanation:

We can use the slope formula,

m=y2-y1/x2-x1

m=7-5/6-4

m=1

plug in m for y intercept or "b" and choose either points to sub. for the x & y

I am going to choose the (6,7)

7=6(1)+b

7-6=6-6+b

b=1

Our "b" is equal to 1 and just add in the points to the slope formula y=mx+b

Jose and Fernando are both working at the same company. Jose worked 42 hours last week while Fernando worked 38 hours during the same week. Jose makes $15/hour and Fernando makes $16/hour. Who made more money that week?

Answers

Answer:

Jose

Step-by-step explanation:

Jose:

Step 1:

42 × 15        Equation

Step 2:

$630     Multiply

Fernando:

Step 1:

38 × 16      Equation

Step 2:

$608    Multiply

Answer:

Jose earns more

Hope This Helps :)

3x + 5 = x - 3
Due today (in 10 minutes)

Answers

Answer:

I hope that helps!

x = -4

Urgent help plzzzzzzz

Answers

Answer:

What is the question?

Step-by-step explanation:

Helppppppppppppppppp

Answers

The answer is C.

Hope this helps! :))
The answer is 3x+15= 51

Or answer C !!!

Let f(x)= x^2 -5x+4 and g(x)=2^x-3

Answers

Answer:

Plug g(x) into all the x values in your f(x) and the answer is 3 because it makes the denominator 1-1 which makes it 0 and is thus discontinuous

Step-by-step explanation:

el largo del parque que esta cerca de tu casa mide el doble del ancho. el terreno tiene 1250m2 de area ¿cuanto es el ancho y cuánto mide de largo?

Ayúdenme plis :c

Answers

Answer:

ninguna pista

Step-by-step explanation:

eso es muy duro lo siento

Given (64y^2)+(4x^2)+128y+16x+64=0, transform the equation into the appropriate form

Answers

Answer:

(8y+8)²+(4x²+16)=0

Step-by-step explanation:

Given:

(64y²)+(4x²)+128y+16x+64=0

Find:

Equation into the appropriate form

Computation:

(64y²)+(4x²)+128y+16x+64=0

(8y)²+(2x)²+128y+16x+64=0

(8y)²+(2x)²+2(8y)(8)+2(2x)(4) + 8²=0

(8y+8)²+(4x²+16)=0

Find the maturity value and the compound interest if $3,600 is invested at 6% compounded semi-
annually for 5 years and 7 months. Round your final answers to 2 decimal places

Answers

Answer:Answer Expert Verified. The Answer is that the present value of $100 is $100. Because this $100 dollar is deposited today so the time is equal to zero and when time is zero the value of amount is the value of amount itself.

Step-by-step explanation:

PLZ HELP 100PTS!!! An explanation is welcome

Find the value of t, when d(t)=-24

d(t)=t/2

Answers

Answer:

[tex]t=-48[/tex]

Step-by-step explanation:

We have the function:

[tex]d(t)=\frac{t}{2}[/tex]

And we want to find t when:

[tex]d(t)=-24[/tex]

So, let's substitute -24 for our first equation and solve for t:

[tex]-24=\frac{t}{2}[/tex]

Multiply both sides by 2:

[tex]t=-48[/tex]

So, the value of t when d(t)=-24 is -48.

Answer:

Step-by-step explanation:

You have 1240 acres of land, and each acre is worth $52. How much is your land worth in total?

Answers

If one acre is $52, you would multiply 1240 by 52. Your land in total is worth $64,480.

Answer:

$64,480.

Step-by-step explanation:

Please help me with this


Need help with both

Answers

Answer: (a) = b,  49/64

Step-by-step explanation:

help.......will be marked brainiest_ ONLY IF CORRECT PLS NOTE

Answers

Answer:

3,1

Step-by-step explanation:

Find the slope of the line

Answers

Answer:

3

Step-by-step explanation:

please help! Evaluate the following function.
f(x) = -x – 8 for f(-1)

Answers

Answer:

x - 8

Step-by-step explanation:

Plug in -1 for x and you get x - 8

Solve the absolute value equation 4 − |x| = 1

Answers

Answer :SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Step-by-step explanation:

Answer:

x can equal 5 or -5 since absolute value changes everything into a positive number.

Step-by-step explanation:

Craig hired 3 high school students to work for his dog walking business. This week, they walked a total of 31 dogs.
Allyson walked 5 less dogs than Brooke.
Carlos walked 3 more dogs than Brooke.
How many dogs did Carlos walk this week?

Answers

Answer:

14 dogs

Step-by-step explanation:

Use the formula

_+a-5+ c+3=31

And now if you add 14 it will work perfectly

Which general rule maps abc onto a b c

Answers

A b c can it is not a general a rigrid motion

f(x) = 4/5 x - 2

Find f(3)



Answer is a fraction ​

Answers

Answer:

2/5

Step-by-step explanation:

f(x) = 4/5 x - 2

Let x=3

f(3) = 4/5 *3 - 2

     =12/5 -2

    =12/5 -10/5

    = 2/5

The answer would be 2/5 it’s like your minusing 2 from 4 and keeping the 5 the dominator and then u would have 2/5

HURRY and answer the math

Answers

Answer:

D) y=3x+1

Step-by-step explanation:

If you fill in the numbers y=3x+1 is the equation that will always be true for the chart.

hope this helps

y=5/3x -15 in general form

Answers

Answer: 5x - 3y = 45

Step-by-step explanation:

Hope this helps

Jose bought seven shirts for an average of​ $12 each and five pair of jeans for an average of​ $32 each. How much did he spend in total for his​ clothes?

Answers

Answer:244

Step-by-step explanation:

Well first I took 7 and 12 multiplied them to get 84 and the added 32 by 5 by multiplying them, To 84 and these are averages so they aren’t exacts and it gave me 244

Answer:

244

Step-by-step explanation:

12+12+12+12+12+12+12=

24+24+24+12=

48+36= 84

32+32+32+32+32=

64+64+32=

128+32= 160

160+84=244

or

12*7= 84

32*5= 160

160+84=244

Every week I buy four 2-litre bottles of lemonade whilst shopping at my local supermarket. Last week the bottles on the shelf were limited edition “2.5 litres for the price of 2 litres” bottles, and the supermarket also had a “buy 3 bottles, get another one free” offer.

In terms of cost per litre, by what percentage was the cost of my four bottles of lemonade lower than usual last week?

Answers

Answer:

40%

Step-by-step explanation:

Every week you he buys 4 number of 2 Litres bottle of lemonade.

Thus, let's say cost of each bottle is X.

This means he total cost is 4X

Now, total litres = 4 × 2 = 8 litres

Thus, cost per litre = 4X/8 = ½X

Now, we are told that Last week the bottles on the shelf were limited edition “2.5 litres for the price of 2 litres” bottles ".

This means that now, it is cheaper.

However, the supermarket also had a “buy 3 bottles, get another one free” offer.

Now since he buys 8 litres weekly, now since it's 2.5 L bottle, he will buy 3 since he will be given 1 free for every 3 he buys.

Thus, total litres he is paying for = 2.5 × 3 = 7.5 litres

Thus, cost per bottle is; 3X

Since he is getting 1 bottle free, then total bottle he gets is; 7.5 L + 2.5 L = 10L

Thus;

cost per litre is now; 3X/10

Difference in costs per litre is;

½X - 3X/10 = X/5

percentage of the cost of four bottles of lemonade lower than usual last week = (X/5)/(½X) × 100% = 2/5 × 100% = 40%

HE is 1/3 the length of HG , HE=x-3 and HG=4x-15 find HE

Answers

Answer:

x=24

Step-by-step explanation:

HE= 1/3(HG)

x-3=1/3(4x-15)

3x-9=4x-15

-x=-24

x=24

Answer:

HE=3

Step-by-step explanation:

Equations

With the data provided, we can set up an equation. Then we need to solve the equation. Finally, we use the just-found value of x to calculate HE.

Data:

HE=1/3 HG

HE=x-3

HG=4x-15

Replacing the last two equations in the first:

x-3=1/3(4x-15)

Multiply both sides by 3:

3(x-3)=4x-15

Operate:

3x-9=4x-15

Moving x's to the left and numbers to the right:

3x-4x=-15+9

Joining like terms:

-x=-6

Multiply by -1:

x=6

Since HE= x-3:

HE=6-3

HE=3

-5/3(-2/3)(-18)

A)−20
B)-35/3
C) 35/3
D) 20​

Answers

Answer: (A)

Step-by-step explanation:

-5/3(-2/3)(-18)

= -5/3(-2/3)(-18)

= -5/3 * 2/3 * 18

= 5 * 2 * 18 / 3*3

= 180/9

= -20

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