Enter the equation of the circle with the given center and radius.
Center:(-4, 2); radius: 2
The equation is

Answers

Answer 1

Answer:

The answer is:

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

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Since, you already have the center and the radius, use them for the equation of a circle and it will be written as:

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

When putting the equation of a circle, the radius needs to be simplified by the exponent [tex]2[/tex]:

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

So, you have found the equation of circle.


Related Questions

what is -15=2-x? plz helps

Answers

Answer:

x=17

Step-by-step explanation:

-15=2-x

-x=-15-2 (u put the like terms together)

-x=-17 (u divide both sides by -1)

x=17

Find 7.5×1041.25×10−9. Write your answer in scientific notation.

Answers

Answer:

7.5×1041.25×10−9 = 78,084.75 = 7.808475 x^10

Step-by-step explanation:

Can you help me and show work 2
Thank you

Answers

Answer:

sure it's 3 2/3

Step-by-step explanation:

the yards are 50 inches so it is going to be

A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive. 1- What is the initial height of the swimmer? 2- What is the max height of the dive? 3) What is the x-intercept ? Explain what does it represent? 3 questions needs to be answered please, any help?

Answers

Answer:

See explanation below

Step-by-step explanation:

In picture attached I manage to find one graph. Just follow the explanation of this, if your graph data is different than this.

According to the attached graph we can see that the line of the graph is beggining at 12. So we this, we can assume and say that the initial height of the swimmer is 12 ft.

The max height would be the maximum point in the graph where it reach the maximum height. In other words, the highest point of the line. since the beggining of the jump. As you can see in the graph, this is reached between 22 and 24 ft. So we can assume is around 23 ft. So the maximum height would be 23 ft

Finally the x-intercept, would be the point of the line where it reach the x-axis. In this case, it would be a point really close to 8. You can say it's about 7.8, or even the number 8 if you wish. In this case, let's say it's 7.8 the x-intercept

L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 b.Explain the value of each digit in your answer to 1(a) using place value terms.

Answers

Answer: $5.5

Step-by-step explanation:

Here is the complete question:

L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 a. If the chess club sold each item for the same price, calculate the price of each item. b. Explain the value of each digit in your answer to a using place value terms

Item sold = 486

Total amount = $2673

Price of each item = Total amount/items sold

= 2673/486

= $5.5

Each item costs $5.5.

5.5 = 5 units and 5 tenths.

The first number after the decimal point by the right is the tenths.

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance , to the nearest tenth of a mile, they must travel to return to their starting point?
PLSS HELP EXTRA POINTS, WILL GIVE BRANLIEST!!

Answers

Answer:

9.4 miles

Step-by-step explanation:

We can assume that if these joggers run 8 miles north, consecutively 5 miles west, these lengths form legs of a right angle triangle, from which we have to determine the hypotenuse of the triangle provided it would lead to the shortest route possible;

Knowing this is a right angle triangle, let us apply Pythagorean Theorem to solve for the length of this hypotenuse, which we can assign as x;

8^2 + 5^2 = x^2 ⇒ square 8 and 5,

64 + 25 = x^2 ⇒ Combine like terms,

x^2 = 89 ⇒ Take square root on either side

Solution; Shortest Distance ⇒ length of 9.4 miles

Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

A

P will be closer to A because it

distance from A to B.

P will be closer to A because it will

the distance from A to B.

O P will be closer to B because it will be

the distance from B to A.

P will be closer to B because it will be

the distance from B to A.

Mark this and return

Save and Exit

Next

Submit

Answers

Answer:

A.

Step-by-step explanation:

Given that point P partitions a directed line segment from A to B into the ratio 3:4, we are to determine how close P is to either A or B.

To do this, we take an example.

Let the length of line segment AB be 14 Units.

Since P divides AB in the ratio 3:4

Length of AP[tex]=\frac{3}{7}X14=6 \:units[/tex]Length of PB[tex]=\frac{4}{7}X14=8 \:units[/tex]

Therefore, from the above, we can conclude that P will be closer to A as its distance from A is shorter than its distance from B.

The correct option is A.

Answer:

Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why?

A number line goes from point A to point B. A line is drawn from point A to point B.

Right Answer  A.)   P will be closer to A because it will be Three-sevenths the distance from A to B.  

Wrong Answer  B.)   P will be closer to A because it will be Four-sevenths the distance from A to B.

Wrong Answer C.)    P will be closer to B because it will be Three-sevenths the distance from B to A.

Wrong Answer D.)   P will be closer to B because it will be Four-sevenths the distance from B to A.

Step-by-step explanation:

The y intercept is represented by what variable in the equation y=my+b

Answers

Answer:

b

Step-by-step explanation:

Answer:

The y-intercept is represented by the variable b in this equation.

A bucket contains 5 green tennis balls, 2 yellow tennis balls, and 6 red tennis balls. Tony removes 3 tennis balls, with replacement, from the bucket shown.

What is the probability that the first tennis ball is yellow, the second tennis ball is green, and the third tennis ball is red?

Answers

Answer:

[tex]\frac{5}{143}[/tex] chance

Step-by-step explanation:

Chance of getting yellow first time: [tex]\frac{2}{13}[/tex]

Chance of getting green without replacement from yellow: [tex]\frac{5}{12}[/tex]

Chance of getting red without any replacement: [tex]\frac{6}{11}[/tex]

[tex]\frac{2}{13} *\frac{5}{12} *\frac{6}{11} =\frac{60}{1716} =\frac{10}{286} =\frac{5}{143}[/tex]

The dimensions of a CD case are 14.2cm by 12.5cm. Each case is approxiomately 1cm deep. What would be the volume of this stack of 17 cd cases to the nearest tenth?

Answers

Answer:

3017.5 cm³

Step-by-step explanation:

The volume of a rectangular prism is V = l × w × h

Here the length is 14.2, the width is 12.5, and the height is 1

Plugging these into our formula we get V = (14.2)(12.5)(1) = 177.5 cm³

Since there are 17 CD cases stacked on top of each other, we will multiply our number by 17 which gives us (177.5)(17) = 3017.5 cm³

Anyone please answer me ,
Please solve this question

Answers

Answer:

67

Step-by-step explanation:

Multi-Inscribed Quadrilateral: 15

Bananas: 4

Clock: 3

Therefore, we can substitute for the last equation the values, so it would become:

3 + 4 + 4 x 15 = ?

First, we solve the multiplication according to PEMDAS.

4 x 15 = 60

Then, we can add from left to right.

3 + 4 + 60 = ?

3 + 4  = 7

7 + 60 = 67

Therefore, our answer would be 67.

Answer:

[tex]15 + 15 + 15 = 45 \\ 4 + 4 + 15 \: \: \: \: = 23 \\ 4 + 3 + 3 = 10 \\ 3 + 4 + 4 \times 11 = 51[/tex](according to BODMAS)

Step-by-step explanation:

First divide 45 by three

[tex]45 \div 3 = 15[/tex]

then subtract 15 from 23 and divide that answer by 2

[tex]23 - 15 = 8 \\ 8 \div 2 = 4[/tex]

Now subtract 4 from 10 and then divide that answer by 2

[tex]10 - 4 = 6 \\ 6 \div 2 = 3[/tex]

Now add 3+4+4*11 you will get the answer for ?

[tex]3 + 4 + 4 \times 11[/tex]

3 + 4 + 44

7 + 44

= 51

hope this helps

brainliest appreciated

good luck! have a nice day!

Raman have 72.75 M long string he cut the string in certain species of equal length if one piece is 14.55 M long how many pieces are cut out of from the rope

Answers

Answer:

5

Step-by-step explanation:

Raman have 72.75 M long string and he cut the string in pieces of equal length of 14.55 M long .

To find how many pieces he cut, we simply divide the length of the original piece of string by the length of the cut piece of string.

That is:

72.75 / 14.55 = 5

He can cut 5 pieces of string.

1 A pattern of numbers is shown below. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 x 20 x 6 1 Write down the value of x. [1]

Answers

Answer:

x=15

Step-by-step explanation:

The pattern of numbers can be re-written in the form below:

[tex]\left\begin{array}{ccccccccccccc}&&&&&&1&&&\\&&&&&1& &1&&&\\&&&&1& &2 &&1\\&&&1 &&3 &&3 &&1\\ &&1 &&4 &&6&& 4&& 1\\ &1 &&5&&10&&10&&5&&1\\ 1 &&6 &&x &&20&& x &&6 &&1\end{array}\right \\[/tex]

The triangular array which involves summing adjacent elements in preceding rows is referred to as the Paschal's Triangle.

Taking the 6th and seventh row, the adjacent elements in the 6th row are summed on the Left Hand sides and the result from the seventh row is given on the right hand sides of the equations below.

1+5=65+10=x10+10=2010+5=x5+1=6

We can then see that:

5+10=x; and

10+5=x

10+5=5+10=15

Therefore:

x=15

Answer:

hehe

Step-by-step explanation:

This is an economic question so I didn't find a category for it.

what is most important skill when preparing for a certification exam?
A. Leadership
B.Communication
C.Time management
D. Reading

Answers

C time management i think

10 mi
9 mi
7 mi
What is the volume

Answers

I'm going to assume that you are trying to find the volume of a rectangular prism.

Volume formula: V = lhw

V = 10*9*7

V = 90*7

V = 630

Therefore, the volume is 630mi³

Best of Luck!

A picture frame can hold a photograph that is 16 inches long and 12 inches wide. What is the area of the photo that fits the frame?

Answers

Answer: The area of the photo that fits the frame is 192 square inches.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle (A) = Length x width

Replacing with the values given and solving for A (area):

A = 16 x 12 = 192 in2

The area of the photo that fits the frame is 192 square inches.

Feel free to ask for more if needed or if you did not understand something.

Answer:

192

Step-by-step explanation:

3y
What happens to the value of the expression as y increases?
2y
Choose 1 answer:
It increases.
B
It decreases.
It stays the same

Answers

Answer:

decreases

Step-by-step explanation:

3r-30=6+7r
solve for r

Answers

Answer:

r = -9

Step-by-step explanation:

First we want to ge the rs in the same place:

[tex]3r-7r=6+30[/tex]

[tex]-4r = 36[/tex]

[tex]r=-9[/tex]

Answer:

r= -9

Step-by-step explanation:

[tex]3r-30=6+7r\\Collect like terms\\3r-7r= 6+30\\-4r = 36\\Divide both sides by -4\\r = -9[/tex]

Fill in the blank:

_?__(x+3)=7x+21

Answers

Answer:

The fill-in-the-blank is 7.

Step-by-step explanation:

By factoring out the greatest common factor, 7, you will get 7(x + 3).

7(x + 3) = 7x + 21

Answer:

7

Step-by-step explanation:

PLEASE HELP TY
show all work

Answers

Answer:

36 cm

Step-by-step explanation:

[tex]V= \frac{4}{3} \pi r^{3}[/tex]

[tex]3V= 4\pi r^{3}[/tex]

[tex]r^{3}=\frac{3V}{4\pi }[/tex]

[tex]r= 3\sqrt{\frac{3V}{4\pi } }[/tex]

[tex]r=3\sqrt{\frac{3* 24429 cm^{3} }{4\pi } }[/tex]

r=18 cm

diameter= d= 2r

d= 2(18cm)= 36 cm

helppp pt.5 plzzzzz​

Answers

Answer: 60 cm²

Step-by-step explanation:

This is pretty simple, we know AB is 12 cm and DE is 4 cm. We know ABC has a total of 180 square centimeters. So...

12 ÷ 3 = 4

180 ÷ 3 = 60

The answer is 60 cm²

I hope this helps!

graph:y-3=1/2(x+2)
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Answers

Answer:

x intercept = -0.25

y intercept = 4

Step-by-step explanation:

  1.- remove parenthesis

y-3 = 1/2x +1

  2.- adjust to equal y

y = 1/2x +1 +3

y = 1/2x +4

  3.- guess values for x to try in the simplified equation.

x = -0.25 | y = 0

x = 0       | y = 4

x = 2       | y = 5

x = -2      | y = 3

x = 4       | y = 6

x = -4      | y = 2

  4.- graph all coordinates (x,y). Draw a line connecting each dotted coordinate.

Answer:

D:(0, 4)

Step-by-step explanation:

how because its me i'm always right

I’ll mark brainliest!!

Answers

All four angles sum to 360 so the remaining two add to 360-180-20=160.  

7+9=16, 160/16=10, so we scale our ratio by 10, getting 70:90.

Answer: 70 degrees and 90 degrees

Answer:

7+9=16, 160/16=10, so we scale our ratio by 10, getting 70:90.

Answer: 70 degrees and 90 degrees

Step-by-step explanation:

ella bought 2.7 yards of fabric for $3 per yard how much did she spend

Answers

Answer:

$8.10

Step-by-step explanation:

You can just multiply how many yards she bought by the price per yard.

3×2.7=

$8.10

She spent 8 dollars and 10 cents.

$725 at 3.25% for 6 months

Answers

what’s the question?

Determine if the question posed is a statistical question (yes) or not (no). How many apps do my classmates have on their phones?

Answers

Answer:

Statistical

Step-by-step explanation:

You need to collect data to determine the answer of that.

Answer:

Yes

Step-by-step explanation:

"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.

I wasn't really sure how to explain it but I hope it makes sense! :)

What is the standard form of this expression?

(4y − 9)(2y − 3)

Answers

The answer is 8y^2-30y+27

The volume of a cylinder is 47x3 cubic units and its height is x units.
Which expression represents the radius of the cylinder, in units?
2x
4x
2x2
4x2

Answers

Answer:

c

Step-by-step explanation:

The expression for the radius of the cylinder is r = 2x units

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the value of V is

V = 4πx³ units

where the height of the cylinder is h = x units

So , the Volume of Cylinder = πr²h

On simplifying , we get

4πx³ = πr²h

Substituting for h , we get

4πx³ = πr² ( x )

Divide by πx on both sides , we get

r² = 4x²

Taking square roots on both sides , we get

r = 2x units

Therefore , the value of r is 2x units

Hence , the radius of the cylinder is 2x units

To learn more about cylinder click :

https://brainly.com/question/16134180

#SPJ7

Find the width of a cereal box that has a volume of 11,340 cm3 and is 35 cm long and 36 cm high.

Answers

The height is 9cm
Hope this was helpful :)

4) A salesperson is paid $60 per week plus $4.50 per sale. This week, the salesperson wants to earn at least $250. How many sales, n, must the salesperson make in order to meet that goal?

PLEASE HELP!!!!!!!!!!

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Subtract the $60 out of the total first

250 - 60 = 190

Divide this value by pay per sale:

190 / 4.50 = 42.2222

Thus, they must make 43 sales in order to meet the goal

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

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