What is the radius of a circle whose equation is x2+y2+8x−6y+21=0? Please just copy and paste this into brainly, I ran out of skips

Answers

Answer 1

Answer: 2

Step-by-step explanation:

Answer 2

Answer:

The Radius of the circle of center (-4, 3) is 2.

Radius = 2

Step-by-step explanation:

This is the general form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

Let's convert this to standard form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

[tex]x^2+y^2+8x-6y=-21[/tex]

Group/organize [tex]x[/tex] and [tex]y[/tex] terms:

[tex]x^2+8x+y^2-6y=-21[/tex]

[tex](x^2+8x)+(y^2-6y)=-21[/tex]

Now, let's begin the process to complete the square in both parentheses.

[tex](x^2+8x+16)+(y^2-6y+9)=-21+16+9[/tex]

[tex](x+4)^2+(y-3)^2=4[/tex]


Related Questions

Marcus has 2 blue pens, 3 red pens, and a green pen in his backpack. He will pick a pen, give it to a friend, and pick another pen. What is the probability that he picks 2 green pens?​

Answers

Answer:

There is a zero percent chance of him giving his friends two green pens.

Step-by-step explanation:

He only has One pen.

HELP NOW
3600 dollars is placed in an account with an annual interest of 9% How much will be in the account after 25 years to the nearest cent !!

Answers

Answer:

A = $ 31,043.09

A = P + I where

P (principal) = $ 3,600.00

I (interest) = $ 27,443.09

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

What is the vale of of???

Answers

Answer:

B

Step-by-step explanation:

Because ∠EDF and ∠BDC are vertical angles, ∠D = 9x. Since ∠ABD and ∠BDC are supplementary, our answer is 2x + 105° + 9x = 180° or B.

Answer:

B

Step-by-step explanation:

∠ BDC = 9x ( vertical angles )

∠ ABD and ∠ BDC are supplementary , thus

∠ ABD + ∠ BDC = 180 , substitute values

2x + 105 + 9x = 180 → B

help me VERY FAST !!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x , y ) → (- y, x ) , thus

X(1, - 1 ) → X'(1, 1 )

Y(3, 4 ) → Y'(- 4, 3 )

Z(5, - 1 ) → Z'(1, 5 ) → A

Answer:

A

Step-by-step explanation:

X(1, - 1 ) → X'(1, 1 )

Y(3, 4 ) → Y'(- 4, 3 )

Z(5, - 1 ) → Z'(1, 5 ) → A

PLATO USERS!
Select the correct answer from each drop-down menu.

cos(420°) =
sin(450°) =

Answers

Answer:

see below

Step-by-step explanation:

cos(420°) =  cos 60 = 1/2

sin(450°) = sin 90 = 1

Answer:

See below in bold.

Step-by-step explanation:

cos (420) = cos (420 - 360)

= cos 60

= 1/2.

sin 450 = sin(450-360)

= sin 90

=  1.

CAN SOMEONE PLEASE HELP ME OUT PLEASE I WOULD APPRECIATE IT VERY MUCH

Answers

Answer:Decreasing

Step-by-step explanation:

Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .

Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $210 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours lifeguarding, ll, that Tristan can work in a given week.

Answers

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

What is the measure of the obtuse angle?

Answers

Answer:

The measure of and obtuse angle is 180°

Step-by-step explanation:

obtuse angles are more than 90°but less than 180°

Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1

Answers

Answer:

x = 3

Length of each segment = 3

Step-by-step explanation:

Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.

m(TU) = m(VU)

(8x + 11) = (12x - 1)

By further solving this,

8x + 11 + 1 = 12x - 1 + 1

8x + 12 = 12x

8x + 12 - 8x = 12x - 8x

12 = 4x

x = [tex]\frac{12}{4}[/tex]

x = 3

(12x - 1) = 12×3 - 1

           = 35

And the length of each segment will be 35 units.

A toy store marks down every toy by 15% in June. How much does a toy cost during June?

Answers

Answer:

since the toy is marked down 15%,

you do p*.85  

to find the remaining cost

Step-by-step explanation:

help help help helphelp h;i

Answers

Answer:

2

Step-by-step explanation:

It's 2 because the numbers go up by 2 each time the mean is identified meaning that the mean of each is 4.

Answer:

I got 2

Step-by-step explanation:

Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?

Answers

Answer:

y=0.5x-4

Step-by-step explanation:

y+3=0.5(x-2)

y+3=0.5x-1

y=0.5x-4

Half the sum of a number and 5

Answers

1 half x plus 5 please mark


what’s the best answer ?????

Answers

Answer:

zero

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The line is horizontal and parallel to the x- axis

Since the x- axis has a slope of zero then the line has a slope of zero.

The midpoint of the coordinates (7,9) and (12,11) is ______.
A. (9.5, 10)
B. (13, 12)
C. (19, 20)
D. none of the above

Answers

Answer:

The answer is option a.

Step-by-step explanation:

=(7+12/2 , 9+11/2)

=(19/2, 20/2)

= ( 9.5 , 10)

Hope this helps.

Good question and the answer is A

Find the zeros of the function f(x) = x^3 + 2x^2 -25x - 50 = 0

Answers

Answer:

x = -2, x= -5 , x= +5

Step-by-step explanation:

x^3 + 2x^2 -25x - 50 = 0

Factor by grouping

x^3 + 2x^2        -25x - 50 = 0

x^2(x+2)   -25( x+2) = 0

(x+2) ( x^2 -25) =0

Using the zero product property

x+2 =0     x^2 -25 =0

x=-2            x^2 = 25

x= -2            Taking the square root of each side

                     x = ±5

select the correct answer. witch is the correct simplified form of the expression ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-1/3 -1/2 = -5/6

1/2-1/4 = 1/4

The negative makes the reciprocal

x^1/4/y^5/6

helpppp plleaassseee

Answers

Answer:

the answer is 1/2

explanation:

the answer is 1/2 because 3 is in the middle of 1 through 6 so it would be 1/2

I don't know how to find the value of x in the isosceles triangle.

Answers

Answer:

x=4

Step-by-step explanation:

split the triangle into two and you will get another smaller triangle as shown in what I have drawn

so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it

so by Pythagoras theorem, 5^2= 3^2 + x^2

then you can solve for x

Which expression is equivalent to 121 - x^2​

Answers

Answer:

(11-x)x(11+x)

Step-by-step explanation:

-(x^2–121)
-(x^2-11^2)
X^2-y^2
(X+y)(x-y)
-(x+11)(x-11)

For f(x)= 4x+1 and g(x) = x^2 -5, find (f g)(x).
O A. 4x2 -19
O B. 4x3 + x2 - 4x -6
O C. 4x3 + x2 - 20x-5
O D. 4x3 + x2 - 5x -5

Answers

Answer:

The answer is option c.

4x³ + x² - 20x - 5

Answer:

C

Step-by-step explanation:

The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will 3:4. Find their present ages..................pls help me

Answers

Answer: 8:11

Step-by-step explanation:

5 and 3 is Hari's ages.

5+3=8 (Now Hari is 8 ages)

7 and 4 is Harry's ages.

7+4=11 (Now Harry is 11 ages)

Ratio is 8:11

Answer:

Harry is 11 and Hari is 8

Step-by-step explanation:

5:7+3:4=8 and 11

Find the slope of a line that crosses through (-5,-2) and (9,3)

Answers

5 / 14

if you graph the two points, just count the units and put them in a simplified fraction (rise (up or down) divided by run (side to side))

The answer is 5/14..

PLEASE HELP! WILL MARK BRAINLIEST!!

A bag has 4 red marbles, 12 blue marbles and 6 yellow marbles. What is the probability of picking a yellow marble, replacing it, and then picking a blue marble?

1/18
18/121
55/22
22/131

In a bag of marbles, you have 4 green, 3 yellow, 5 blue, and 8 red marbles. What is the probability of picking a blue marble from the bag?
3/20
1/5
1/10
1/4

Answers

Answer:

18/121

1/4

(not 100% sure)

Solve: 2 ln 3 = ln(x - 4) x = 9 x = 10 x = 13

Answers

Solve:  2 ln 3 = ln(x - 4)

a)x = 9

b)x = 10    

c)x = 13

Answer:

x = 13

Step-by-step explanation:

To solve the problem above, we will follow the steps below;

2 ln 3 = ln(x - 4)

[using logarithm rule  aInb =  Inbᵃ]

so also our equation becomes

In 3² = In (x-4)

The In at the left-hand side of the equation will cancel-out the In at the right-hand side of the equation

Our equation becomes;

3² = x- 4

9 = x-4

add 4 to both-side of the equation in other to make x subject of the equation

9 + 4 = x-4 + 4

13 = x

x = 13

Answer:

C on Edge x = 13 x =  

-4  and x =  4

the solution is x =  4

Step-by-step explanation:

I just did the assignment on edge.

Find x.
A)7
B)7"2
C)"(14)

Answers

Answer:

x = 7

Step-by-step explanation:

Since this is a right triangle, we can use a trig function

tan theta = opposite/ adjacent

tan 45 = 7/x

Multiply each side by x

x tan 45 = 7

Divide each side by tan 45

x = 7/ tan 45

x = 7

Answer:

7

Step-by-step explanation:

It is a 45 45 90 triangle

meaning that the side lenghts will be x, x, x root 2

the hypotenuse will be x root 2, so that means that the side length will be 7

The diameter of a circle is 20m. Find its area in terms of pie(urgent)

Answers

Answer:

100 pie m^2

[tex]solution \\ diameter = 20 \: m \\ radius = \frac{20}{2} = 10 \: m \\ area \: = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: = \pi \times {10}^{2} \\ \: \: \: \: \: \: \: \: \: \: = \pi \times 100 \\ \: \: \: \: \: = 100\pi \: {m}^{2} \\ hope \: it \: helps....[/tex]

Answer:

[tex]= 100\pi {m}^{2} \\ [/tex]

Step-by-step explanation:

[tex]d = 2r \\ 20 =2 r \\ \frac{20}{2} = \frac{2r}{2} \\ r = 10[/tex]

[tex]area = \pi {r}^{2} \\ = \pi \times 10 \times 10 \\ = 100\pi {m}^{2} [/tex]

hope this helps

HELP WILL GIVE BRAINLIEST!!!!

How many 1/2 cups are in 3/4 cups?

Answers

Answer:

1 1/2 or 1.5

Step-by-step explanation:

think: half of 4 is 2 so 1 half cup would make it to 2/4

than half of that is 1/4 which is 1/2 of 1/2 a cup

adding that to 2/4 makes it 3/4 so therefore... (Peep the answer)

If f(x) and g(x) are inverse functions of each other, what is the graph of f(g(x))?

Answers

Answer:

y = x

Step-by-step explanation:

The graph of f(g(x)) is the straight line y = x.

Which number produces an irrational number when multiplied by 0.4?

Answers

Answer:

B unless it isnt

Step-by-step explanation:

B- some long decimal

(It’s pi. I hate pi.)

Other Questions
If earth is squeezed to the size of the moon, calculate the weight of 100 kg mass on the squeezed earth . Identify the large brown tectonic plate and whether it is oceanic or continental The gross earnings of the factory workers for Oriole Company during the month of January are $72,000. Of the total accumulated cost of factory labor, 84% is related to direct labor and 16% is attributable to indirect labor.(a)Record the factory labor costs for the month of January.(b)Assign factory labor to production. Which choice is an effective strategy when trying to convince an unwilling or disagreeable audience?A.Do not expect the members of the audience to change their minds after the speech. Look for small gains, like a simple nod of approval.B.Before the speech, tell the members of the audience how much you know about the topic to convince them of your knowledge.C.Keep the speech short and simple. An unwilling audience can never be persuaded.D.Use inflated language to convince the audience you know more than you actually do. Can ya help me on this ??! I need this for today ill fr cashapp you money the instant that you do this like im mad desperate !!! Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,400 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,400.Required:a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?b. Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)?c. What amount should you bid to maximize the probability that you get the property (in dollars)? How is the trade in Canada? Please answer this correctly How many liters of hydrogen gas is produced from 3.712 g of magnesium with 104.2ml of 1.385 mol/L HCL (aq) at SATP? Please show your work and explain it. I really need help with this question, it's on one of my quizzes. Triangle ABC has vertices at A(-4, -2), B(1, 7) and C(8, -2)A) Determine the exact value of the area of Triangle ABC.B) Determine the perimeter of Triangle ABC to the nearest tenth. We wish to see if the dial indicating the oven temperature for a certain model of oven is properly calibrated. Four ovens of this model are selected at random. The dial on each is set to 300 F, and, after one hour, the actual temperature of each is measured. The temperatures measured are 305 F, 310 F, 300 F, and 305 F. Assuming that the actual temperatures for this model when the dial is set for 300 are Normally distributed with mean , we test whether the dial is properly calibrated at 5% of significance level. Actual Temp: 305, 310, 300, 305Required:a. Based on the data, calculate the sample standard deviation and standard error of X bar (round them into two decimal places) Standard Deviation: Standard Error:b. What is a 95% confidence interval for ? (upper and lower bound)c. Provide your test statistic and P-valued. State your conclusion clearly (statistical conclusion and its interpretation).e. Even if 5% of significance level looks like default of test, we can use different significance levels as well. If we change the significance level into 10% (= 0.1), how does it affect your conclusion? Stream of consciousness discribes A standing wave on a string that is fixed at both ends has frequency 80.0 Hz. The distance between adjacent antinodes of the standing wave is 12.0 cm. What is the speed of the waves on the string, in m/s HELP ASAP! (MUSIC) In both common time and cut time the quarter note gets the beat. True or False What is not one of the top health concerns in the United States 7. A shopkeeper can buy 36 toys for $20.52. What will he pay for 120 toysStep by step explansion A=1/2(b1+b2)h What are equivalent equations What is one of the solutions to the following system? Y-3=x, x2-6x+13=y Whats the correct answer for this? which of the following factors led to the fall of Rome?