What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+8y +21= 0 ?

Answers

Answer 1

Answer:

the center is (3, -4) and the radius is = 2

Step-by-step explanation:


Related Questions

Find the volume of the problem

Answers

Answer:It's 1

Step-by-step explanation:

The answer is 1 step by step equation

Which is the correct way to calculate the area of a circle?

Answers

Answer:

Step-by-step explanation:

Answer:

You must find the diameter then half it, so the radius, and then multiply it by 3.14152

Step-by-step explanation:

Solve for x.

0.5x+78.2=287

Answers

Answer:

x =417.6

Step-by-step explanation:

0.5x+78.2=287

Subtract 78.2 from each side

0.5x+78.2-78.2=287-78.2

.5x =208.8

Divide each side by .5

.5x/.5 = 280.8/.5

x =417.6

a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit​

Answers

Answer:

$120,000

Step-by-step explanation:

Given that

The price of the new car is $750,000

And, the saving percent is 16%

We need to find out the saving amount for the deposit

SO, the saving amount is

= $750,000 × 16%

= $120,000

We simply multiply these two to each other so that the saving amount could come

Lightning flashes and is followed by the sound of thunder. The formula that relates the time between seeing the lightning, hearing the thunder, and the distance from the storm is: t = 3y, where t=time (seconds) y= distance (kilometers) How far away is the lightning if you hear the thunder 8 seconds after you see the lightning?​

Answers

Answer:

2 2/3 kilometers

Step-by-step explanation:

t = 3y

let t = 8

8 = 3y

Divide each side by 3

8/3 = 3y/3

8/3 = y

2 2/3 kilometers

Answer:

2 2/3 kilometers

Step-by-step explanation:

If you put $5,000 in an investment that earns 8% interest compounded continuously, how many years, rounded to the second decimal, will take it until you have $8,303.00?

Answers

Answer:

6.34 years

Step-by-step explanation:

Given data

Principal P=$5,000

Rate r= 8%

Final amount A=  $8,303.00

The expression for the time will be

t= ln(A/P)/r

substitute

t= ln(8,303.00/5000)/0.08

t= ln(1.6606)/0.08

t= 0.507/0.08

t= 6.3375

Hence the time is about 6.34 years

Find c. Determine it from the choices below.

Answers

Answer:

12 centimetres

Step-by-step explanation:

I looked it up

The answer should be 12 centimeters

can someone help me please?? i really appreciate it

Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Answers

Answer:

In summary, the translation and scale factor are:

Translation: (x,y)↦(x+5,y+4)

Scale factor: 2

Step-by-step explanation:

A zoo is creating a new exhibit that includes an aquarium in the shape of a right rectangular prism. The water level of the aquarium is 2/3 the height of the aquarium as shown. How much space, in cubic feet, in the aquarium does not contain water?

Answers

Answer:

[tex]Volume=56\frac{1}{4}[/tex] cubic feet

Step-by-step explanation:

Given

[tex]L =3\frac{3}{8}ft[/tex] --- Length

[tex]W =13\frac{1}{3}ft[/tex] --- Width

[tex]H =3\frac{3}{4}[/tex] --- Tank

[tex]Water\ level = \frac{2}{3}[/tex]

Required

Space not covered with water

If the water level is:

[tex]Water\ level = \frac{2}{3}[/tex]

Then the empty space is:

[tex]Empty = 1 - Water\ level[/tex] --- Complement rule

[tex]Empty = 1 - \frac{2}{3}[/tex]

Take LCM

[tex]Empty = \frac{3-2}{3}[/tex]

[tex]Empty = \frac{1}{3}[/tex]

So, the volume of the empty space is:

[tex]Volume=L*W*H*Empty[/tex]

[tex]Volume=3\frac{3}{8} *13\frac{1}{3}*3\frac{3}{4}*\frac{1}{3}[/tex]

Express fraction as improper fraction

[tex]Volume=\frac{27}{8} *\frac{40}{3}*\frac{15}{4}*\frac{1}{3}[/tex]

Simplify

[tex]Volume=\frac{9}{8} *\frac{40}{3}*\frac{15}{4}[/tex]

Simplify

[tex]Volume=\frac{3}{8} *\frac{40}{1}*\frac{15}{4}[/tex]

Simplify

[tex]Volume=\frac{3}{1} *\frac{5}{1}*\frac{15}{4}[/tex]

[tex]Volume=\frac{3*5*15}{4}[/tex]

[tex]Volume=\frac{225}{4}[/tex]

[tex]Volume=56\frac{1}{4}[/tex]

Add at least 2 ways people in this job use arts and music ( that job is a dancer btw)

Answers

Answer:

arts: movement and flexibility  Music: communication and rhythm

Express 3/10 as a decimal

Answers

The answer would be 0.3

Answer:

0.3

Step-by-step explanation:

When we divide by 10, we want to imagine a decimal point going up a place.

Think of it like this:

03.0

When we divide by 10, the decimal goes up a digit:

0.30 or 0.3

Help me with C number please. Show me how did you do that. It’s due in 30 minutes.

Answers

I’m not 100% sure but isn’t it x2 +xy +y2?

Step-by-step explanation:

[tex]A = x^2-xy+y^2\\C =x^4+x^2y^2+y^4[/tex]

We will now divide C with A.

[tex]\frac{x^4+x^2y^2+y^4}{x^2-xy+y^2}[/tex]

Divide x^2, -xy, y^2. Remember that dividing exponents results in subtracting.[tex]x^4 / x^2 = x^2\\4 - 2 = 2[/tex]

So:

[tex]\frac{1}{x^2+xy+y^2}[/tex]

Solve for x and then determine the measure of the exterior angle.

Answers

Answer:

x=25, 120

Step-by-step explanation:

The two angles form a straight line so they add to 180

60 + 4x +20 =180

Combine like terms

4x+80 = 180

Subtract 80 from each side

4x+80-80 =180-80

4x= 100

Divide by 4

4x/4 =100/4

x= 25

The exterior angle is

4x+20 = 4*25+20 =100+20 =120

Answer:

x=25, 120

Step-by-step explanation:

The two angles form a straight line so they add to 180

60 + 4x +20 =180

Combine like terms

4x+80 = 180

Subtract 80 from each side

4x+80-80 =180-80

4x= 100

Divide by 4

4x/4 =100/4

x= 25

The exterior angle is

4x+20 = 4*25+20 =100+20 =120

Lj thank u so much for helping me

Answers

- 8 / 20 = y / - 4

y = - 4 × - 8 / 20

y = 4 × 8 / 4 × 5

y = 8 / 5

what is x+3=12 simplified?

Answers

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

subtracting both sides by 3

x + 3 - 3 = 12 - 3

x + 0 = 9

x = 9

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

x (+ 3 - 3) = 12 - 3

x = 9

Lira plays on a basketball team where all the uniform numbers are multiples of 4
Part A
If the least jersey number is 12, what are the next 4 possible jersey numbers?
A 4,8,12,16
B 8 12 16
C12, 15, 18, 21
D 16, 20, 2420
Part 3
Basketball jersey numbers are always 55 or less
What is the greatest possible jersey number for Lira's team? Enter your answer in the box

Answers

I think it’s gonna be C

The soccer team scored three goals in their first game seven goals in their next game in two goals
in their third game what was the mean number of the goal scorer for three games

Answers

Answer:

4

Step-by-step explanation:

3+7+2

12

12/3

4

How can the manager use the data in the dot plot to improve the airline?

Answers

Answer:

The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.

Step-by-step explanation:

the answer that is given on edmentum

Find the value of x.
B
6
X+1
D
E
С
A
x = [?]

Answers

Answer:

x = 2

Step-by-step explanation:

Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{6}{x+1}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )

6x = 4(x + 1)

6x = 4x + 4 ( subtract 4x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Can y’all help me solve for K ?!

Answers

Answer:

Step-by-step explanation:

K+4 = 11;

k = 7

Answer:

B is true

Step-by-step explanation:

so use k+4=11 to solve that k+7


3(3a + 4b) + 4(2a - 5b) please answer quick​

Answers

Step-by-step explanation:

3(3a+4b)+4(2a-5b)

=9a+12b+8a-20b

=17a-8b

What is the missing number in the pattern? 4, ____, 18, 25, 32

Answers

Answer:

11 is the missing number

Answer:

the answer should be 11 your welcome

What value of x would make Bl parallel to RA?

Answers

Given:

Bl parallel to RA.

To find:

The value of x.

Solution:

In triangle ATR and ITB,

[tex]\angle ATR\cong \angle ITB[/tex]              [Common angles]

[tex]\angle ART\cong \angle IBT[/tex]              [Corresponding angle]

[tex]\triangle ATR\sim \triangle ITB[/tex]              [AA property of similarity]

We know that the corresponding sides of a similar triangle are proportional. So,

[tex]\dfrac{AT}{IT}=\dfrac{AR}{IB}[/tex]

[tex]\dfrac{x}{x+8}=\dfrac{12}{18}[/tex]

[tex]\dfrac{x}{x+8}=\dfrac{2}{3}[/tex]

On cross multiplication, we get

[tex]3(x)=2(x+8)[/tex]

[tex]3x=2x+16[/tex]

[tex]3x-2x=16[/tex]

[tex]x=16[/tex]

Therefore, the correct option is C.

For the remaining portion of the living room not covered by the new flooring, Michelle wants to paint the concrete. After carefully measuring the exposed concrete, she determines 6 square feet are already painted and the remaining unpainted area forms a square with side length x. The entire area of concrete, including the painted and unpainted portions, is a total of 31 square feet. Write an equation that could be used to find the unpainted square side length x

Answers

Answer:

[tex]x^2 + 6 = 31[/tex]

Step-by-step explanation:

Given

[tex]Painted = 6ft^2[/tex]

[tex]Total = 31ft^2[/tex]

Dimension of unpainted area:

[tex]Length = Width = x[/tex] --- Square

Required

Determine an expression to solve for x

First, calculate the area of the unpainted space;

[tex]Area = Length *Width[/tex]

[tex]Area = x*x[/tex]

[tex]Area = x^2[/tex]

The unpainted area, added to the painted area, equals the total area.

So, we have:

[tex]Area + Painted = Total[/tex]

[tex]x^2 + 6 = 31[/tex]

Hence, the expression is: [tex]x^2 + 6 = 31[/tex]

Someone pls help, its on trig ratios.

Answers

Answer:

[tex]BC=12.8,\\AC=15.1[/tex]

Step-by-step explanation:

In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Therefore, we have the following equation:

[tex]\tan 58^{\circ}=\frac{BC}{8}[/tex]

Solving, we get:

[tex]BC=8\tan 58^{\circ}\approx \boxed{12.8}[/tex]

Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

[tex]\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}[/tex]

We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.

Using the Pythagorean theorem to verify our answers:

[tex]8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark[/tex]

WILL MARK BRAINLIEST

Answers

Answer:

1 sample

Step-by-step explanation:

There is only one sample given for 20%

Answer:

the answer would be

b) 1 sample

-6y-18 this is really overdue and its hard for me so can someone help

Answers

the answer to this is -6(y+3)

2 Which table represents a function? X y X у 2 -3 -3 0 3 0 -2 1 4 -3 -3 2 2 1 2 3 (1) (3) х X у 1 2 AWNIK -4 1 2 1 NO 4. 1 5 4 6 (2) (4)​

Answers

the answer to Which table represent a function is 1

The only table that represents a function is the fourth option.

What is a function?

A function is a relation that maps elements from a set (domain) into elements of another set (range).

Such that each element from the domain can be mapped into only one element from the range.

In the table, the "x" values are from the domain, and the "y" values are from the range.

So, if you see a table with the same value of x being mapped into two different values of y, then that relation is not a function.

With that in mind, the only table that meets this property is table number 4.

If you want to learn more about functions, you can read:

https://brainly.com/question/1770447

Figure D is the result of a transformation on figure C. which transformation would accomplish this?

PLEASE HURRY

Answers

Answer:

A translation 1 unit left and 2 units up

Step-by-step explanation:

1) look at the point at the very bottom-we can call that point A

2) that point on figure C would be at (3,-5)

3) if you move it to the left one and up two, you get that same point but on figure D

So, the answer is the second option

Witch is greater 17% or 4/25

Answers

Answer: 17%

Step-by-step explanation: 4/25=16/100=16%, so 17% is bigger.

4/25=16/100=16%, so 17% is bigger.
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What is the significance of the Slaughterhouse cases, according to the interview with Clement and Ross? a. It was the first time that the Supreme Court was able to rule on economic regulations, and it decided in favor of a laissez-faire policy government hands-off of the economy. b. It was the first time that the Supreme Court ruled on the 14th amendment, and its interpretation opened the door for racial discrimination and segregation well into the 20th century. c. It was the first time that the Supreme Court decided to regulate the economy by breaking up the monopoly power of the Slaughterhouses. d. It was the first time that the Supreme Court interpreted the 13th amendment in such a way as to abolish slavery. Complete the sentence below by typing the correct word into the box. A(n) is a comparison of two things that are alike in some respects by using a familiar object to explain an unfamiliar object. 8/124 division and simply your answer PLEASE SOLVE QUICK IM UNDER A LOT OF STRESSSSSSS A circle in the xy-coordinate plane has the equation x2 + y2 +6y -4 = 0. If the equation of the circle is written in the form x2 + (y+k)2 = c.where k and care constants, what is the value of K? i will give branliestWhich is an example of a counterclaim?Some people may say that...neverthelesshowever Find the height of the tower using the information given in the illustration. A right triangle has a a vertical side as the height of the Eiffel Tower, a horizontal side of length 130 feet across the ground, and an unlabeled hypotenuse. The angle formed by the hypotenuse and the horizontal side measures 85.691 degrees. 130 ft The height of the tower is nothing feet. In 1520, write the number positioned at each point. What is happening why are elephants being born with small/no tusks? Why is that increasing ? What is the value of y in the diagram?yxX-20 What is the slope of the line that passes through the points (-1, 0) and (3, 8)? Jeremy received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14 left. Write the equation used to determine how much each game cost.A.3x + 14 = 65B.3x - 14 = 65C.65 - 3x = -14D.14 - 3x = 65 you dont have to tell me the answer i just dk what to do for this problem Can someone please help answer? 1 in : 3 ft the center is 45 feet long and 28 feet wide A psychologist is interested in determining whether a new treatment for depression improves (decreases) depression scores. She randomly assigns 30 subjects to the treatment and 30 subjects to the control. At the conclusion of the study she uses an independent t-test to evaluate whether the groups differ on a widely used depression scale that ranges between 0 and 30. The treatment group mean is 18 and the control group mean is 22. What is the null hypothesis for the analysis who will be benefited with the tax we pay Can someone please help me with this In an abuse of power, covered up by Nixon and a group of White House officials, which espionage team plugged leaks by spying on reporters and their suspected sources inside the government No links The soil rainforest are______ nutrient rich Nutrient poor soilMediocre Rich in clay