17
What is the center and radius of the circle with the equation
2? + y2 - 2x + 4y - 4 = 0?
1) Radius:
Center:

17What Is The Center And Radius Of The Circle With The Equation2? + Y2 - 2x + 4y - 4 = 0?1) Radius:Center:

Answers

Answer 1

Answer:

[tex] Center = \boxed{1}, \: \boxed{ - 2} \: ; \: Radius = \boxed{3}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + {y}^{2} - 2x + 4y - 4 = 0 \\ \\ ({x}^{2} - 2x + 1 - 1) + ( {y}^{2} + 4y + 4 - 4) - 4 = 0 \\ \\ ( {x}^{2} - 2x + 1) + ( {y}^{2} + 4y + 4) - 9 = 0 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = 9 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = {3}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = - 2 \\ r = 3 \\ \\ center = \boxed{1} \: \boxed{ - 2} \: \: radius = \boxed{3}[/tex]


Related Questions

3. Robin drove 80 miles in 1.6 hours.
At what rate was Robin driving?
A 80 miles per hour
B 70 miles per hour
C 65 miles per hour
D 50 miles per hour
Answer quick plzzz no website

Answers

Answer:

The answer is 50 miles per hours.

A box of dried fruit has 75 calories in 5 servings. How many calories are there per​ serving?

Answers

Answer:

There are 15 calories in one serving.

Step-by-step explanation:

To find out how many calories are in one serving, you simply have to divide the number of calories by the number of servings.

75 / 5 = 15

15 because 5 in each and 75 divided by 5 equals 15

Line GH passes through points (-6,-30) and (4,-5) . What is the linear equation for line GH?

Answers

Answer:

y=1/4x+2

Step-by-step explanation:

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 =1/4 (x - 12). The slope-intercept form of the equation for this line.

Answer:

y=1/4x+2

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1=1/4 (x - 12). The slope intercept form of the equation for this line.

Which shapes make up this composite figure?

a cylinder and a cone
a cylinder and two cones
a half sphere, a cylinder, and a cone
a sphere and a cylinder

Answers

Answer: a sphere and a cylinder

Step-by-step explanation:

The composite figure has two semi-circles on each end (which is basically a whole sphere). In the middle is a cylinder. So, d is the correct option.

A cone has a triangular form, so it can't be the other answers.

Answer:

D

Step-by-step explanation:

I dont get this Rewrite the equation below so that it does not have fractions. 2-(3)/(4)x=(9)/(10) Do not use decimals in your answer.

Answers

Answer:

Suppose we have an equation like:

[tex]\frac{A}{C} = \frac{B}{D}[/tex]

If we want to remove the denominators, we should multiply both sides by each denominator.

First, let's multiply both sides by C.

[tex]\frac{A}{C}*C = \frac{B}{D}*C[/tex]

[tex]A = \frac{B}{D}*C[/tex]

Now let's multiply both sides by D.

[tex]A*D = \frac{B}{D}*C*D[/tex]

[tex]A*D = B*C[/tex]

So now we removed the denominators.

Now let's do this to our expression.

[tex]2 - \frac{3}{4*x} = \frac{9}{10}[/tex]

First, let's multiply both sides by 10

[tex](2 - \frac{3}{4*x})*10 = \frac{9}{10}*10[/tex]

[tex]20 + \frac{30}{4*x} = 9[/tex]

Now let's multiply both sides by 4*x

[tex](20 + \frac{30}{4*x})*4*x = 9*4*x[/tex]

[tex]20*4*x - 30 = 9*4*x[/tex]

[tex]80*x - 30 = 36*x[/tex]

Now we can solve this for x:

[tex]80*x - 36*x = 30[/tex]

[tex]44*x = 30[/tex]

[tex]x = \frac{30}{44} = 0.68[/tex]

Which of the following is a true statement based on the graph shown ?

Answers

Answer: I feel like it's the last one

Step-by-step explanation: ahhh I could be wrong I've had this problem before and I'm certain I chose the last one but I could be wrong if I'm wrong then I'm very sorry

What is the value of x?

Answers

9514 1404 393

Answer:

  98

Step-by-step explanation:

The angle bisector divides the triangle proportionally. This means ...

  VY/VT = KY/KT

  VY = VT(KY/KT)

  x = VY +KY = (KY(VT/KT) +KY) . . . . . use the expression for VY

  x = KY(VT/KT +1) . . . . . . . . . . . . . . . factor out KY

  x = (68)(57/129.2 +1) . . . . . . . . .. put in the numbers

  x = 98

Answer:

the answer is x=98

Step-by-step explanation:

:))))

the model represents the equation - 3 =10. Which is the value of x in the equation x - 3 = 10?

Answers

Answer: C

Step-by-step explanation:

13-3=10

X= 13.
You isolate x by adding 3 on both sides of the equation. Once you do that, you are left with x=13.

hope this helps!!

What is the value of x, pls no jokes​

Answers

Answer:

25

Step-by-step explanation:

15/6*10 = 25




The dot plot shows the number of miles Zac ran each day.
Distance Ran Each Day
0
0.5
1
1.5
3.5
4
4.5
5
2 2.5 3
Number of Miles
The number of days displayed in the dot plot is
The maximum distance that Zac ran on any one day is
miles.


Answers

Answer:

Each dot specifies a day.... there are 19 dots on the dot plot, therefore, 19 days.

Then the maximum distance that Zac ran on any one day is 4 miles.

Step-by-step explanation:

Answer:

first blank is 19, the second blank is 4

Step-by-step explanation:

I got this correct on Mubarak test

Find x and y
Show all the work

Answers

Answer:

x = 16 and y = 116

Step-by-step explanation

For the trapezoid, the sum of the adjacent side is 180. Hence;

6x+20 + 4x = 180

10x + 20 = 180

10x = 180-20

10x = 160

x = 160/10

x = 16

Also, the sum of opposite side is 180, hence;

4(16)+ y = 180

64 + y = 180

y = 180 - 64

y = 116 degrees

hence x = 16 and y = 116

PLS SOMEONE HELP ME QUICKLY

Answers

Given:

In a parallelogram [tex]PRTV, VQ\perp PR,VS\perp RT[/tex].

To prove:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Solution:

It is given that [tex]VQ\perp PR,VS\perp RT[/tex], it means [tex]\angle PQV[/tex] and [tex]\angle TSV[/tex] are right angle triangles.

In triangle PQV and triangle TSV,

[tex]\angle PQV\cong \angle TSV[/tex]         (Right angles)

[tex]\angle QPV\cong \angle STV[/tex]         (Opposite angles of a parallelogram)

Two corresponding angles are congruent. So, by AA property of similarity, we get

[tex]\Delta PQV\sim \Delta TSV[/tex]

We know that the corresponding parts of similar triangles are proportional. So,

[tex]\dfrac{PQ}{TS}=\dfrac{PV}{TV}[/tex]

It can be rewritten as:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Hence proved.

How do you do this? ​

Answers

Answer:

78 degrees

Step-by-step explanation:

We know that these triangles are congruent

Angle N is the same as angle W since the triangles are congruent

Angle N = 78 degrees

Therefor angle W = 78 degrees

78 ) your welcome luv

square root of 48841​

Answers

Answer:

The square root of 48841 is 221.

Step-by-step explanation:

If you multiply 221 by 221, then you get 48841. So the square root is 48841. Hope this helped! :D

If one out of 10 people are left-handed, how many
left-handed people are in this school of 360 people

Answers

1 out of 10 can be written as a fraction/ 1/10

Multiply total students by the fraction:

360 x 1/10 = 360/10 = 36

There are 36 left handed students.

Find the sum of the first 24 terms in the following arithmetic
series:
9+13+17+21+..

Answers

Answer:

1212

Step-by-step explanation:

Based on the diagram below, what is the measure of arc DC?

28 degrees
68 degrees
108 degrees
112 degrees

Answers

Answer:

108 °

Step-by-step explanation:

∠DOC = 180° - 112° = 68°

∠DOC = 1/2(arc AB + arc DC)

68 = 1/2(y + 80 + y)

68 = y + 40

y = 28

arc dc = 80 + 28 = 108 °

please i need you guys help me to solve this 2 questions please i need ur help​

Answers

The answer is A which is 1

Answer:

1st Q- B

2nd Q- A

Step-by-step explanation:

1st Q:

n²<220<(n+1)²

n²<220<(n²+2n+1)

we can plug in the values in the answers and see which one satisfies the inequality:

when n=13 --> 13²<220<(13²+2*13+1) => 169<220<196 (this one does not work)

when n=14 --> 14²<220<(14²+2*14+1) => 196<220<225 (this one works)

when n=15 --> 15²<220<(15²+2*15+1) => 225<220<256 (this one does not work)

when n=16 --> 16²<220<(16²+2*16+1) => 256<220<289 (this one does not work)

so the answer is B

2nd Q:

A

(see the attachment below for explanation)

Ángulo mayor a 0 y menor a 45

Answers

Answer:

Ángulo agudo

Es cualquier ángulo que mida más de 0 grados pero menos de 90 grados. Un ángulo agudo cae en algún lugar entre inexistente y un ángulo recto.

Acute angle

It's any angle that measures more than 0 degrees but less than 90 degrees. An acute angle falls somewhere between nonexistent and a right angle.

how do i find the diameter of a circle with only knowing the area?

Answers

Answer:

2 * (Area/pi)^(1/2) = diameter

Step-by-step explanation:

The equation for the area of a circle is A = pi * r^2

We can divide both sides by pi to get:

A/pi = r^2

Then take the square root of both sides to get:

(A/pi)^(1/2) = r

Then, since D = 2 * r, we can multiply both sides of the above equation by 2 to get:

2 * (A/pi)^(1/2) = 2 * r = D

Answer:

d=2[tex]\sqrt{a/\pi }[/tex]

Step-by-step explanation:

Write down an algebraic rule to show the relationship between the number of lines
(L)and pattern number (n).​

Answers

J0IN G00GLE MEET GIRL$

wnp-hxru-ipf

At the beginning of school you set-up a 4 digit pin to get into your My Payments Plus
account, however you have not used your account since you set it up and forgot the
number. You remember that the first number was a 4 and the second number was
either a 5, 6, or 7. You had no idea what the last two numbers were.

How many
different combinations are possible?

900 combinations
200 combinations
300 combinations
1200 combinations

Answers

Answer:

Step-by-step explanation:

The first number is one choice: 1

the second number is one of 3: 3

The last 2 digits can each be any one of the 10 digits from 0 to 9: 10 * 10

3*100 = 300

Not too many, but it will take you awhile to run through them.

2 bottles of grape juice fill 8 glasses. How many glasses can be filled from
8 bottles of grape juice?​

Answers

Answer:

32 glasses

Step-by-step explanation:

To solve this we will first find out how many glasses one bottle of grape juice can fill.

Equation:

8/2 = 4

This means one bottle of grape juice can fill four glasses. Now all we have to do is multiply 4 glasses of grape juice by the number of bottles.

Equation:

8 * 4 = 32

32 glasses

Cool Tees buys a shirt for $21. The sale price is120% of the original price. What is the sale price for this shirt?

Answers

Answer:

$25.20

Step-by-step explanation:

All you have to do is 21x1.20 and you get 25.2. Brainliest would be very helpful and appreciated.

Answer:

$25.20

Step-by-step explanation:

You do 21 times the decimal form of the fraction 120.

The way you make it decimal form is by moving the decimal places two spaces to the left.

So 1.20

So 21 • 1.20

25.20

So 25.20 is 120% of it

riddle#1 what belongs to you but your friends use it more

Answers

Answer:

Phone number

Step-by-step explanation:

Answer:

your name people lol...........

What is the area of the triangle?
4
2
_____units2

Answers

Answer:

4

Step-by-step explanation:

Answer:

Yup it’s 4

Step-by-step explanation:

A European bond has a par value of 1000 Euros, a coupon rate of 4.5 percent and a yield to maturity of 3.2 percent. The bond has 19 years to maturity. Coupons are made annually. What is the value of the bond?

Answers

Answer:

Bond Price​= 1,182.96

Step-by-step explanation:

Giving the following information:

Par value= 1,000

Cuopon= 1,000*0.045= 45

YTM= 3.2%

Number of years (n)= 10

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 45*{[1 - (1.032^-19)] / 0.032} + [1,000 / (1.032^19)]

Bond Price​= 633.31 + 549.65

Bond Price​= 1,182.96

Find each product of the equation. I need help please

Answers

Answer:

1. 15x-10

2. x²-x-12

3. x²-8x+12

4. 2x³+4x²-30x

5. 6x³- 12x²+6x

6. 4x³+12x²-20x

Step-by-step explanation:

4.2x(x+5)(x-3)

= 2x(x²-3x+5x-15)

= 2x(x²+2x-15)

= 2x³+4x²-30x

The salary of college professors from more than 25,000 universities and colleges in USA is normally distributed with a mean, $85,900 and its standard deviation, $11,000. If you collect a random sample from 35 professors, find the probability that the sample mean is between $70,000 and $100,000?

Answers

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mean,\ \sigma=standard\ deviation.\\\\For \ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Therefore given that μ = $85900, σ = $11000, n = 35.

For x > 70000:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{70000-85900}{11000/\sqrt{35} } =-8.55\\[/tex]

For x < 100000

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{100000-85900}{11000/\sqrt{35} } =7.58[/tex]

From the normal distribution table, P(70000< x < 100000) = P(-8.55 < z < 7.58) = P(z < 7.58) - P(z < -8.55) = 1 - 0 = 1 = 100%

Solve 4x/3=8

X=__
Please and Thank you!

Answers

Answer:

x=8

Step-by-step explanation:

4x/4=8

Multiply both sides by 4

4*4x/4=8*4

Simplify;

4x=32

Divide both sides by 4

4x/4=32/4

Simplify;

x=8

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

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