identify the center and the radius of a circle with equation (x-4)^2+(y+2)^2=9

Answers

Answer 1

Answer:

center:(4,-2)

Radius: 3 units

Step-by-step explanation:

The standard equation of a circle is given as [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the center and r is the radius of the circle.

The given equation is [tex](x-4)^2+(y+2)^2=9[/tex].

We compare to the standard equation of the circle to get;

[tex]x-h=x-4[/tex]

[tex]\Rightarrow -h=-4[/tex]

[tex]\Rightarrow h=4[/tex]

and

[tex]y-k=y+2[/tex]

[tex]\Rightarrow -k=2[/tex]

[tex]\Rightarrow k=-2[/tex]

Hence the center of the circle is (4,-2).

Also, we have [tex]r^2=9[/tex]

Therefore [tex]r=\sqrt{9}[/tex]

[tex]r=3[/tex] units.

Answer 2

Answer:

Center at (4,-2); radius: 3

Step-by-step explanation:


Related Questions

The if James problem please help

Answers

Answer:

The answer to this is 34 minutes and 50 seconds.

Step-by-step explanation:

First, I multiplied 23 x 2 = 46 because I wanted to see how much minutes it could be in 20 minutes.

Then, I got the answer by getting the median.

23 - 46

the median of that is 34.5. Therefore, the expected time for 15 laps is 34 minutes and 50 seconds.

Hope this Helped!!!!

~Shane

Answer:

34.5 Is the answer or 34 minutes and 5 seconds.

Step-by-step explanation:

1) Set a Proportion Minutes on top over laps

23/10 = x/15

2) cross Multiply

10 times x = 10x

23 times 15 = 345

3) Solve for X (x is the amount of minutes for 15 laps)

345 = 10x

Divide 10 on both sides

345/10= 34.5

Hopes this Helps you !

Anthony gets paid semiannually. His semiannual salary is $67,000. What is his annual salary?

Answers

Semiannually means twice a year, so you multiple $67,000 by 2.

Anthony gets paid $1.34*10^5 per year
Answer:

The annual salary is $134000

Step-by-step explanation:

Semiannual is a term that describes something that is paid twice each year, typically once every six months.

Since semiannually salary is $67,000 so the annual salary will be

$67,000 x 2 = $134000

Sid needs 0.7 meters of canvas material to make a carry all bag for his wheelchair. If the canvas is $5.32 per meter how much will Sid spend ?

Answers

0.7 x 5.32= 3.759

To Make it simpler = $3.75

3 dollars and 75 cents.

I hope I’m right ^^

Sid spend $3.724 on his bag material.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

According to the question

Sid needs 0.7 meters of canvas material to make a carry all bag for his wheelchair.

If the canvas is $5.32 per meter how much will Sid spend.

Based on the given conditions , formulate

= [tex]0.7 \times 5.32[/tex]

= $3.724

Sid spend $3.724 on his bag material.

Find out more information about multiplication here

brainly.com/question/5992872

#SPJ2

Use a special right triangle to find the tangent of 30∘
Tan 30*= ?

Answers

Final answer:

Concept is trigonometry. The tangent of 30° is √3.

Explanation:

To find the tangent of 30°, we can use a special right triangle. One type of special right triangle is a 30-60-90 triangle. In this triangle, the ratio of the lengths of the sides opposite the angles are 1:√3:2.

Since we want to find the tangent of 30°, which is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle, we can set up the equation:

tan 30° = opposite/adjacent = (√3)/1 = √3

Learn more about Trigonometry here:

https://brainly.com/question/11016599

#SPJ3

What is the equivalent decimal?

Drag the answer into the box to match the fraction.

6/11 >>>>>>>>>


__
0.12
__
0.27

0.54
__
0.54

























Answers

Answer:

.54 repeating

(.54 with a bar over the 54)

Step-by-step explanation:

6/11 means  6÷11. That is .545454545454 ...

You would write this as .54 with a bar over the 54.

HELP ASAP!! GIVING BRAINLIEST!

What are the steps for constructing an inscribed circle in angle ABC using only a compass and a straightedge?

Answers

Answer:

Step-by-step explanation:

use the compass and find the midpoints of each side of the triangle. the use the ruler and find the radius and connect it to the vertex ISO - trigonometric diameter. Mark the angles as 90 deg corresponding to the rays formed by the radii. simple :)

Answer: PLATO ANSWER

Step-by-step explanation:

Step 1: Place the compass needle on vertex A, adjust the width of the compass to a medium setting, and draw one arc on line segment AB and one on line segment AC.

Step 2: Place the compass needle on the point where the arc intersects line segment AB and draw an arc inside the triangle. Without changing the compass setting, place the compass needle on the point where the arc intersects line segment AC; draw another arc intersecting the arc already inside the triangle. Label the point of intersection P.

Step 3: Draw line segment AP. This is the angle bisector of angle A.

Step 4: Place the compass needle on vertex C, adjust its width to a medium setting, and draw arcs intersecting line segment BC and line segment AC.

Step 5: Place the compass needle on the point where the arc intersects line segment BC, and draw an arc inside the triangle. Without changing its setting, place the compass on the point where the arc intersects line segment AC; draw another arc intersecting the arc already inside the triangle. Label the point of intersection Q.

Step 6: Draw line segment CQ. This is the angle bisector of angle C.

Step 7: Label the intersection of the angle bisectors M. This is the center of the inscribed circle.

Step 8: Place the compass needle on M, and draw two arcs on line segment BC.

Step 9: Place the compass needle on one of the points where an arc intersects line segment BC, and draw an arc outside the triangle; repeat from the point where the other arc intersects line segment BC to create two intersecting arcs outside the triangle. Draw a line from M passing through the point of intersection outside the triangle. This is a perpendicular line from M to line segment BC. Mark the point where the line intersects line segment BC, and label it N.

Step 10: Place the compass needle on M, set its width to N, and draw a circle. This is the inscribed circle of triangle ABC.

6(7−3y)+6(y+1) please help

Answers

Answer: 4=y

Step-by-step explanation:

6(7 -3y)+6(y+1)

42-18y+6y+6

48-12y

48/12=4

12y/12=y

4=y

The student's algebraic expression simplifies to 48 - 12y.

The question involves simplifying an algebraic expression. Let's solve it step by step:

Distribute the 6 to each term inside the first parentheses: 6(7) / (- 6(3y)).

Do the same for the second parentheses: 6(y) + 6(1).

Combine like terms by adding or subtracting the coefficients.

Let's simplify the expression now:

6(7) - 6(3y) + 6(y) + 6(1).

42 - 18y + 6y + 6.

Combine the terms with y: -18y + 6y = -12y.

The final simplified expression is 42 - 12y + 6.

Combine the constant terms: 42 + 6 = 48.

The final answer is 48 - 12y.

If a/b=3/4 and a/c=5 what is b/c?

I WILL MARK BRAINLIEST

Answers

Answer:

it would be 4/5 because c= 5 and b=4

Answer:

b/c = 20/3

Step-by-step explanation:

a/b =3/4

a/c = 5

a/c =5

Divide both sides by a/b

a/c ÷a/b = 5÷a/b

Replace the a/b on the right by 3/4 since they are equal

a/c ÷a/b = 5÷3/4

We will use copy dot flip

a/c * b/a  = 5 * 4/3

b/c = 20/3

3,350 to the nearest ten.

Answers

Your answer will be 3350

Answer:

Step-by-step explanation:

3350 to the nearest ten is 3350

the rectangular prism with volume 120 cm3, width 5 cm, and height 3 cm. what is the length?

Answers

Answer:

8

Step-by-step explanation:

what I did was that first I multiplied 5 and 3.

So that will give you 15.

Then I divided 120 and 15.

Leading to the answer 8.

Which attribute is NOT always true for a rhombus?
A) four equal sides
B) four right angles
C) opposite congruent angles
D) two sets of parallel sides

Answers

Answer:

the answer would be b)

Step-by-step explanation:

Answer:

B) four right angles

Step-by-step explanation:

The definition of a rhombus is that it is an equilateral quadrilateral.

This definition knocks out A.

C and D can also be knocked out because opposite angles are congruent, so they both must also be true.

Also, B is the requirement for a square, not a rhombus.

use the elimination method to solve the system of equations. choose the correct ordered pair. 3x + 6y = 36 and 3x - 6y = 0

Answers

3x + 6y = 36

+ 3x - 6y =0

------------------------

6x = 36

x = 36/6

x = 6

3(6) - 6y = 0

18 - 6y = 0

-6y = -18

y = 3

Answer:

Solution (6 ,3).

Step-by-step explanation:

Given : 3x + 6y = 36 and 3x - 6y = 0

To find : use the elimination method to solve the system of equations.

Solution : We have given

3x + 6y = 36 ------(1)

3x - 6y = 0------(2)

_______________       (On adding both equations)

6x + 0 = 36 .

On dividng both sides by 6

x = 6.

On plug x = 6 in equation 1

3 ( 6) + 6y  = 36.

18 + 6y = 36 .

On subtracting both sides by 18

6y = 36 -  18.

6y = 18

On dividing both sides by 6

y = 3

Solution (6 ,3)

Therefore, Solution (6 ,3).

In which of the following quadrilaterals are consecutive angles always congruent? Check all that apply.

square
parallelogram
rectangle
rhombus

Answers

Square and rectangle

The quadrilaterals that have consecutive angles equal to each other are Square and a Rectangle, the correct option is A and C.

What is a Quadrilateral?

Quadrilateral is a polygon with four sides.

The quadrilaterals with consecutive angles always congruent are:

Square : The square has all angles of equal measure of 90 degrees.

Rectangle: A rectangle also has all angles equal to 90 degree.

To know more about Quadrilateral

https://brainly.com/question/13805601

#SPJ2

Which expression represents the product of three consecutive odd integers?

A.

x( x+1)( x+2 )

B.

x( x+1)( x+3 )

C.

( x−1)( x )( x+1)

D.

( x−2 )( x )( x+2 )

Answers

The correct answer is (D).

Which fraction has the greatest value 1/3 2/10 1/6 or 2/7

Answers

1/3 has the greatest value

1/3 has the greatest value. Hope this helps!

A bag contains 6 red balls, 4 green balls, and 3 blue balls. If we choose a ball, then another ball without putting the first one back in the bag, what is the probability that the first ball will be green and the second will be red?

Answers

First ball will be green- 4/13
Second ball will be red-6/12 or 1/2

First ball will be green AND second ball will be red- 4/13x1/2=4/26 or 2/13

Answer: [tex]\dfrac{2}{13}[/tex]

Step-by-step explanation:

Given : A bag contains 6 red balls, 4 green balls, and 3 blue balls.

Total balls = 6+4+3=13

Probability of drawing first ball as green :

[tex]P(G)=\dfrac{\text{Number of green balls}}{\text{Total balls}}\\\\=\dfrac{4}{13}[/tex]

If the first ball will be green, then the total balls left in bag = 13-1=12 and number of red balls remains the same.

Now, The conditional probability of drawing a red ball given that first ball was green :-

[tex]P(R|G)=\dfrac{\text{Number of red balls}}{\text{Total balls left}}\\\\=\dfrac{6}{12}=\dfrac{1}{2}[/tex]

Now,  the probability that the first ball will be green and the second will be red will be :-

[tex]P(G\cap R)=P(G|R)\times P(G)\\\\=\dfrac{4}{13}\times\dfrac{1}{2}=\dfrac{2}{13}[/tex]

Hence, the required probability = [tex]\dfrac{2}{13}[/tex]

Let x = wavelength and y = frequency. The equation that models the inverse relation is

Answers

Answer:

y = (3 × 10^8 m/s)/x

Step-by-step explanation:

Speed of a wave is given by the product of wavelength and frequency.

Thus; speed = frequency × wavelength

If  x = wavelength and y = frequency then speed will be;

speed = yx

Thus to get wavelength, y;

y = speed/x , but speed is 3 × 10^8 m/s

Thus;

y = (3 × 10^8 m/s)/x

Answer:

The Answer is D y= x/3x10squareroot8 m/s

Because its right on edg

What is 8.25 rounded off to the nearest whole number

Answers

Final answer:

8.25 rounded off to the nearest whole number is 8, because the digit after the decimal point (2) is less than 5, which implies that we do not increase the whole number part.

Explanation:

To round off 8.25 to the nearest whole number, we look at the digit to the right of the decimal point, which is 2. Since this digit is less than 5, we keep the digit before the decimal point as it is. Therefore, 8.25 rounded off to the nearest whole number is 8.

When rounding numbers, such as rounding off 0.028675 to 0.0287 or 92.85 to 92.8, a key rule to remember is that if the dropped digit is greater than or equal to 5, you round up; if less, you round down. Applying this principle, we see that because 2 is less than 5, 8.25 rounds down, leaving us with 8 as the rounded result.

25 POINTS FORA SPEEEDY ANSWER

A large concrete water pipe is being laid underground. The pipe has a diameter of 24 inches and is laid in 40 foot sections. How many cubic feet of water does each section hold? Express your answer in terms of pi. Show all calculations.


Answer correcty please!!

Answers

okay so I'm going to be honest I'm not fully sure if my answer is correct but I think that you must add it up and they answer that you will get is 64 because remember 4 + 2 equals 6 and 4 + 0 equal 4

Answer:

[tex]40\pi\text{ cubic feet}[/tex]

Step-by-step explanation:

Given,

The diameter of the pipe = 24 inches,

⇒ The diameter of the section = 24 inches

And, it is laid in 40 foot section,

So, the height of each section = 40 feet,

Since, the shape of a pipe is cylindrical,

The volume of a cylinder is,

[tex]V=\pi (r)^2 h[/tex]

Where, r is the radius,

h is its height,

Here, r = [tex]\frac{24}{2}[/tex] = 12 inches = 1 feet,

Also, h = 40 foot,

Thus, the quantity of water hold by the section = Volume of the section

[tex]=\pi (1)^2(40)[/tex]

[tex]=40\pi \text{ cubic feet}[/tex]

what is the value of y in the equation 2(3y -6) equals 0​

-2
0
2
6

Answers

Answer:

y=2

Step-by-step explanation:

2(3y -6)=0

multiply 2 times 3y-6

6y-12=0

add 12 to both sides

6y=12

devide by 2

y=6

Simplify The expression 8(5x-9)

Answers

40x-72 because 8×5x is 40x and 8×9 is 72

x is 110% of 10, y% of 50 is 3.5

Answers

For the expression "X is 110% of 10," X is equal to 11.

For the expression "y% of 50 is 3.5," the value of y is 7.

From the information given, we can solve for both x and y:

1. Finding x:

"X is 110% of 10" means that x is equal to 110% multiplied by 10.

110% can be written as a decimal by dividing by 100: 110/100 = 1.1

Therefore, x = 1.1 * 10 = 11.

2. Finding y:

"y% of 50 is 3.5" means that y% multiplied by 50 is equal to 3.5.

To solve for y%, we can rearrange the equation: y% = 3.5 / 50.

To express y as a percentage, we can multiply by 100: y = (3.5 / 50) * 100 = 7.

Complete question:

Calculate the percentage: X is 110% of 10, y% of 50 is 3.5

Final answer:

We calculated x by determining that it's 110% of 10, which results in x being 11. Then, we solved for y by understanding that y% of 50 equals 3.5, leading to the conclusion that y is 7.

Explanation:

To solve for x, we consider that it is 110% of 10. To convert a percentage into a decimal, we divide by 100, so 110% becomes 1.10. Therefore, x = 1.10 × 10. After multiplying, we get x = 11.

For the second part, we have y% of 50 is 3.5. The equation can be represented as (y/100) × 50 = 3.5. To find y, we divide both sides by 50 and then multiply by 100 to get y = (3.5 × 100) / 50. Solving for y, we find y = 7.

What is the explicit rule for the sequence in simplified form?
−1,−4,−7,−10,−13…

Question 12 options:

an=4−5n

an=−4−3n

an=2−3n

an=−6−5n

Answers

Answer:

an = 2 - 3n ⇒ The third answer

Step-by-step explanation:

∵ a1 = -1

∵ a2 = -4

∵ a3 = -7

∵ a2 - a1 = -4 - -1 = -3

∵ a3 - a2 = -7 - -4 = -3

∴ It is an arithmetic sequence with

  1st term = -1 and constant difference = -3

∵ The rule of any arithmetic is: an = a + (n - 1)d

∵ a = -1 and d = -3

∴ an = -1 + (n - 1)(-3)

∴ an = -1 - 3n + 3

an = 2 - 3n ⇒ The third answer

find the positive root of x^2 + 6x -27 = 0

Answers

Answer:

This is true.

Step-by-step explanation:

+ ^2 + 6x -27

Use the quadratic formula to solve the equation if necessary round to the nearest hundredth x^2+x-30=8

Answers

Answer:

5.68 and -6.68

Step-by-step explanation:

Use the quadratic formula.

x = (-b+-sqrt(b^2-4ac))/2a

Now let's find the values of a b and c.

Use the standard form of the quadratic equation.

ax^2+bx+c = 0

Using this we can find the values of a b and c.

a = 1

b = 1

c = -30-8

c = -38

Now plug in the values.

We get,

(-1+-3sqrt(17))/2

Which rounded to the nearest hundredth is about,

5.68 and -6.68

Answer:

-6.18

Step-by-step explanation:

First we need to get this into an equation form that will allow us to factor it.

x^2+cx+c

Make one side of the equation equal to zero.

x^2+x-30=8  

-8      -8

x^2+x-38=0

We can't use the zero product property because it is impossible to multiply numbers to get -38 and the same numbers at to 1. Therefore, let's use the quadratic formula. y=-b√b^2-4(a)(c) /2a

Then, identify your a, b and c. A=your squared number, B= your number neing multiplied by a varable (1x or x), and C is your whole number.

a=1

b=1

c=-38

y=-1√1^2-4(1)(-38) /2(1)

Simplify

y=-1√1+152 /2

y=-1√153 /2

y=-3√17/2

Decimal form: −6.18465843

About -6.18 is your answer.

Hope I helped!

SOMEONE PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

8,9,10

That is the answer

8,9,10 would be the answer

because 16-8 is 8 and that is equal to the inequality <8

because 16-9 is 7 which is less than 8

because 16-10 which is 6 and is smaller than 8

Solve for X
Your answer must be simplified.

-7x > 10

Answers

Answer:

There are many solution for this problem

The solutions are -2, -3, -4..... And even fractions like -11/7, -12/7, etc.

Hope this helps!

For this case we indicate the solution of the following e-inequality:

[tex]-7x> 10[/tex]

We divide between "-7" on both sides of the inequality, keeping in mind that when doing this operation the sign will change, since we operate with a negative sign.

So:

[tex]\frac {-7x} {- 7}> \frac {10} {- 7}\\x <- \frac {10} {7}[/tex]

Thus, the domain of the variable "x" is given by all the numbers smaller than -[tex]-\frac {10} {7}[/tex]

ANswer:

[tex]x <- \frac {10} {7}[/tex]

What are the roots of x2 + 10x + 29 = 0?

A. 5 ± 2i

B. -5 ± 2i

C. 10 + 4i

D. -10 + 4i

Answers

Answer:

B

Step-by-step explanation:

okay so x^2+10x+29=0

subtract 29 from both sides giving you:

x^2+10=-29

next, used (b/2)^2 to create a trinomial square, which will be 5 so you will have:

x^2-10x+(-5)^2=-29+(-5)^2

Then, simplify the equation:

x^2-10x+25=-4

Next, factor into (x-5)^2 which is:

(x-5)^2= -4

Finally, solve for X:

x=5 +/- 2i

x2+10×+29=0

answer is A 5+2i

HELP! Gareth is playing a racing game. To get star rating 1, Gareth needs to win four races. Thereafter, for every three races he wins, his star rating increases by one. Determine which graph represents this situation.

Answers

Answer:

The third option C.

Step-by-step explanation:

Answer:

The graph C is the right answer.

Step-by-step explanation:

Gareth is playing a racing game. To get star rating 1, Gareth needs to win four races. Thereafter, for every three races he wins, his star rating increases by one.

So, the graph that represents this - The C graph.

We can see that the graph travels 3 places right and then 1 up. The blue solid dot represents the final count. The light dotted is the initial travel period of the graph.

After the graph moves 1 point up, it again travels 3 points right and this continues at each step.

So, C is the right graph.

Which line is the graph of y = 1/2x + 1?

line a
line b
line c
line d

Answers

Answer:

B

Step-by-step explanation:

When x=0,

Y=1/2(0)+1

Y=1

Look for the line with the point (0,1)

Other Questions
What are the advantages and disadvantages of using RNA or protein as genetic material? This question is based on The Gettysburg Address by Abraham Lincoln and Letter to His Son by Robert E. Lee. About which idea would Lincoln and Lee most likely agree? The founding fathers gave states the right to secede. The founding fathers would have gone to war over the issue of slavery. The founding fathers had an idealistic view of their countrys promise. The founding fathers sought to form a perpetual union of states. Which modern nation uses a traditional form of direct democracy? Explain how two two parents with brown skin could have a child with dark brown skin and anotherchild with light brown skin Lithium has been found to be especially effective in the treatment of Find the probability of not rolling factors of 5 on both die What are the main temperature zones of the earth? Arrange the trophic in ascending order starting from the base of the ecological pyramid of energy and increasing to the top. Secondary consumers Herbivores Producers Apex predators Federal district courts hear cases about disagreements between states. What could states disagree about? In a sofa store 30% of the sofas are leather. 40% of the leather sofas are black. What percentage of the total number of sofas are made form black leather? Which statement best describes the structure of this passage What type of graph would you use for a set of numerical data with a range of 90, from 5 to 95, where you wanted to find the typical data value? Jinny is selling bracelets for $4.50. So far, she has earned $315.00. She needs to earn more than $441.00 in order to meet her goal. How many more bracelets, x, does she need to sell in order to reach her goal? A. x > 70 B. x > 168 C. x > 28 D. x > 98 Help with function homework The length of a rectangle is four times its width. If the area of the rectangle is 100 ft?, find its perimeter 3 - z/4 = 8 what is the solution of this equation ? PLZ HELP!!!!! Which of these quadrilaterals can always be classified as a rhombus? A)kiteB)rectangleC)squareD)trapezoid Question 1 unsaved in the experiment, resistance will be measured using what instrument? question 1 options:a.ph meterb.voltmeterc.multimeterd.pipete.balance What is the circumference of the circle? Use 3.14 for pid= 33 cm PLEASE HELP!! DOUBLE POINTS!!In 'The Namesake' by Jhumpa Lahiri, What does the narrator reveal about what Gogol feels and thinks about the places he has lived? Use evidence from the text to support and explain your answer.giving BRAINLIEST to the LONGEST answer. everything helps, thank you :)) Steam Workshop Downloader