Why is the radius 4?

Why Is The Radius 4?

Answers

Answer 1

Answer:

Please check explanations

Step-by-step explanation:

The equation of a circle can be represented as;

(x-h)^2 + (y-k)^2 = r^2

r is the radius while (h,k) represents the coordinates of the center

Thus, we have that;

(x-2)^2 + (y+3)^2

That would give;

x^2 - 4x + 4 + y^2 + 6y + 9

The sum of values with no coefficient is;

4 + 9 = 13

If we take this to the other side, we can have 13 + 3 = 16

The square root of this is then 4

Mathematically, we can therefore express the equation of the circle as;

(x-2)^2 + (y-+3)^2 = 4^2

By expansion, we will get the original given equation


Related Questions

i realllllllllllllllllllllly neeeeeeddddd help on this one pleaseeeeeeeeeeeeeeeeeeeeee
Carlos traveled at an average speed of 70 miles per hour for 2.5 hours and then traveled at an average speed of 80 miles per hour for 3.5 hours. What was the total distance in miles that Carlos traveled during that time

Answers

Answer:

70 * 2.5 = 175

80 * 3.5 = 280

175 + 280 = 455 miles all together

Step-by-step explanation:

I hope this helps :)

Determine the domain of the following graph:

Answers

Answer:

Domain: (-7, 4]

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph, the line's x-values span from -7 to 4. Since -7 is open dot, it is exclusive from the domain; since 4 is closed dot, it is inclusive in the domain:

Interval Notation: (-7, 4]

Inequality Notation: -7 < x ≤ 4

Solve for x!!!!!.....

Answers

X=10.5
8/6=14/x
Cross multiply
8x=84
Divide 8 to both sides
X=10.5

Substation method
3x + 4y=-22
7x+y=7

Answers

Answer:

(2, -7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -22

7x + y = 7

Step 2: Rewrite Systems

7x + y = 7

Subtract 7x on both sides:                    y = 7 - 7x

Step 3: Redefine Systems

3x + 4y = -22

y = 7 - 7x

Step 4: Solve for x

Substitution

Substitute in y:                        3x + 4(7 - 7x) = -22Distribute 4:                             3x + 28 - 28x = -22Combine like terms:                -25x + 28 = -22Subtract 28 on both sides:     -25x = -50Divide -25 on both sides:       x = 2

Step 5: Solve for y

Define equation:                     7x + y = 7Substitute in x:                        7(2) + y = 7Multiply:                                   14 + y = 7Subtract 14 on both sides:      y = -7

On a trip , Joel drove 24 miles more than Rita drove . Together they drove 340 miles . How many miles did Joel drive

Answers

Answer:

U didn't say how many miles Rita drove.

What is the slope of the line that passes through the points (-3, 4) and (5, -2)?

Answers

Answer:

  m = 0 , this is a horizontal line, y = 5

Step-by-step explanation:

Find the slope of the line that passes through the pair of points

(-3,5),

(-4,5)   m = 0/1 = 0  

m=y2-y1/x2-x1

 m = 0 , this is a horizontal line, y = 5

Hopefully that helps!!!!!

Sophia scored 33 points in a basketball game. She scored four
more two-point baskets than three-point baskets.
Write a system of equations in standard form that models this
situation.
How many three-point baskets did Sophia make?

Answers

Answer:

Let's try to set up some equations. We'll say a is the number of 1-point shots, b the number of 2-point shots, and c the number of 3-point shots.

A basketball player scored 33 points in one game.

So a + 2b + 3c = 33

He scored four more 2-point baskets than he did 3-point baskets.

So b = c + 4

The number of free-throws equaled the sum of the number of 2-point and 3-point shots made.

So a = b + c

and since b = c + 4,

a = (c + 4) + c = 2c + 4

Substituting in a + 2b + 3c = 33,

(2c + 4) + 2 * (c + 4) + 3c = 33

which simplifies to

7c + 12 = 33

So c = 3, b = 7, a = 10

Answer:

The system of equations in standard form that models this situation are:

2x+3y=33

x-y=4

A salesperson makes a 35% commission and makes a sale for $425. Determine the commission the salesperson will make.​

Answers

$425-35%= $276.25
hope this helped

MARKING BRAINLIEST!!!!

Answers

Answer:

12

Step-by-step explanation

Please solve!! :)
-3 lx+4l= -6

Answers

Answer:

x = -2, -6

Step-by-step explanation:

I used a site called tiger algebra to solve this so I don't know how, but I hope this helped you anyway. :)

1. Jacob has $500 saved. He receives a gift of $100 as a graduation present.
Write an expression for the total amount of money he has.

Answers

Jacob now has 600 dollars.

Does anyone know the answer to these?? Please answer quickly and please don’t joke around .

Answers

they are already simplified what is the question

For trapezoid JKLM A and B are midpoints of the legs. Find AB.
19
B
M
L
27
C.
23
a
h
35
46

Answers

I think that the answer is c

5. Which set of ordered pairs below represents a function? 31. {(1,1) (1,- 1) (4,2) (4, -2) (9,3)} b. {(3,4) (3,5) (3,6) (3,7) (3,8) } C. {(2,4) (3,4) (4,4, (5,4) (6,4)} d. {(1,2) (2,3) (3,4) (4,5) (4,6) }​

Answers

Answer:

C. {(2,4) (3,4) (4,4) (5,4) (6,4)} is a function.

Step-by-step explanation:

Since there is one value of  y  for every value of  x  in  {(2,4) (3,4) (4,4) (5,4) (6,4)}, this relation is a function.

What is the surface area of a cylinder with a radius of 12 centimeters and a height of 7 centimeters? Use terms of pi.

I’ll give brainliest to whoever answers 1st! :)

Answers

Answer:

1432.57cm²

Step-by-step explanation:

The value of n is a distance of 1.5 units from -2 on a number line. Click on the number line to show the possible values of n. -5 - 4 -3 -2 -1 0 1 2 3 4 5​

Answers

Answer:

Its Going to be -4

Step-by-step explanation:

An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?

Answers

Answer:

0.12 miles is it flying per second.

Step-by-step explanation:

The distance d is related to time t in seconds is given by the equation as follows :

d =0.12 t

We need to find how many miles is it flying per second.

[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]

So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.

help me solve please

Answers

Answer:

x=78; x=56

Step-by-step explanation:

For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:

102+x=180

Subtract 102 from both sides:

x=78

For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:

34+x=90

Subtract 34 from both sides:

x=56

4. An annual pass covering emtrance fees to more than
2,000 national parks costs $80. If the total income from
the annual passes is $12,800 in one month, which equation
can you use to find the number of passes purchased that month?
F. 12,800p = 80
H. 80p = 12,800
G. 12,800 – p = 80
J. 80 + p = 12,800

Answers

Answer:

Search it up

Step-by-step explanation:

Someone already answered it on brainly

Pls help and SHOW WORKINGS....due ASAP

Answers

Answer:

(B). 50°

Step-by-step explanation:

(5x + 55)° = (2x + 100)°

5x + 55 = 2x + 100

5x - 2x = 100 - 55

3x = 45

x = 15

5(15) + 55 = 130°

m∠2 = 180° - 130° = 50°

X= 15 because it just does

What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for
TT

Pls help

Answers

918155555332feet +3.14

Answer:

9.42

Step-by-step explanation:


What is the domain of h?h(x)=4/x-5

Answers

Answer:

(−∞, 5) ∪ (5, ∞)

Step-by-step explanation:

I really hope it helps!

Good Luck!

if I buy 54 packs of cookies and 15 cookies are in each pack how many cookies do I have all together?!!?!?!

Answers

Answer:

810

Step-by-step explanation:

54x15=810.

hope this helps

Step-by-step explanation:

54 x 15 = 810

all you have to multiply

A 4-pound bag of carrots costs $2.48. What is the unit price? *

Answers

Answer:

0.62 cents per pound

Step-by-step explanation:

2.48/4

to find price per pound which is the unit price

2.48/4=0.62

brainliest appreciated

y = 5x + 14
what is the CROC (Constant Rate Of Change)?
and how do you know. (please help i've been stuck on this for about an hours now :,). )

Answers

Answer:

The answer is 5.

Step-by-step explanation:

Well if you were to graph this equation you'll see that the rise over run would be 5/1 which simplifies to 5.


Select the correct answer.
In which table does y vary directly with x?

Answers

Answer:

Option C.

Step-by-step explanation:

y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as

y = 26x

A vegetarian restaurant used 6,680 ounces of spinach last month. This month, with a menu update, it used 10% more than that amount. How much spinach did the restaurant use this month?

Answers

Answer:

what subjet is this

Step-by-step explanation:

A truck is carrying cranberry juice, grape juice, and pineapple juice bottles in a ratio of
7 : 2 : 3. If there are 40 grape juice bottles, then how many juice bottles in total are there?

Answers

Answer:

140

Step-by-step explanation:

7- Cranberry

2:Grape = 40 so 40/2 = 1

3:Pineapple

1= 20 juices

7+2+3 is 12

20 x 12 is 140

40/2=a factor of 20

7+2+3=12, so multiply that by a factor of 20.

20*12=240 total juice bottles is the answer

How many groups of 1/4 are in 3?”

Answers

Answer: 12

Step-by-step explanation:

there are 12 because

1/4 = 0.25
2/4 = 0.50
3/4 = 0.75
4/4 = 1.00

If you do this three times, It will have an end result of twelve

hope this helps!!

how do you solve this using the substitution method?

Answers

Answer:

x=13, y=36

Step-by-step explanation:

y−2x=10

6x−2y=6  −2x+y=10

6x−2y=6

6x=2y+6

x=  1/6(2y+6)

x=1/3y+1

-2(1/3y+1)+y=10

-2/3y-2+y=10

1/3y=12

y=36

Substitute y  to check your answer

x=1/3*36+1

x=12+1

x=13

And to go further if you wish to check your answer you can substitute x

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