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

The mean of 5 numbers is 6.
The numbers are in the ratio 1 : 3 : 3 : 4 : 4.
Find the numbers.​

Answers

Answer:

2, 6, 6, 8, 8

Step-by-step explanation:

First, we know that the mean is the sum of the number divided by the amount, so if we take the answer we have, 6, and multiply that by the amount of number, 5, then we get 30.

Now we add the numbers in the ratio, so 1 + 3 + 3 + 4 + 4 = 15

15 x 2 = 30

This means we need multiply the numbers in the ratio by 2 to get

2 + 6 + 6 + 8 + 8 = 30

Answer:

2, 6, 6, 8, 8

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex], thus

[tex]\frac{sum}{5}[/tex] = 6 ( multiply both sides by 5 )

sum = 30

sum the parts of the ratio, 1 + 3 + 3 + 4 + 4 = 15 parts

30 ÷ 15 = 2 ← value of 1 part of the ratio, thus

3 parts = 3 × 2 = 6

4 parts = 4 × 2 = 8

Thus the 5 numbers are

2, 6, 6, 8, 8

Giving brainly and points

Answers

Answer: B) −8x − 9

Step-by-step explanation:

5 − 2 (4x + 7)

Apply the distributive property.

5 − 2 (4x) − 2 ⋅ 7

Multiply 4 by −2.

5 − 8x − 2 ⋅ 7

Multiply −2 by 7.

5 − 8x − 14

Subtract 14 from 5.

−8x − 9

hope this helps :)

Answer:

b

Step-by-step explanation:

5-2(4x+7)

distribute

-8x-14

5-8x-14

5-14=-9

-8x-9

What is the least common multiple of 8, 2, 3a, 6b, and 4ab?

Answers

Answer:

24ab

Step-by-step explanation:

The multiple of 8, 2, 4ab, 3a, and 6b would be all the variables multiplied together right?

Then you see that:

8 can be divided by both 2 and 4 (2 x 2 x 2)

2 is 2 x 1

4ab can be 2 x 2ab

3a is the same as 3 x a

and

6b can be 2 x 3b

Now if you find the lowest common multiples (LCM's) of each variable with another you'll get your answer.

LCM of 8, 2 and 4ab is 2 times 2 times 1 times 2ab which equals 8ab

LCM of 3a and 6b is 3a times 2 times b which equals 6ab

and the

LCM of 8ab and 6ab is 2 times 2ab times 4 times 3 which equals 24ab.

AB is parallel to CD
Find the value of X
Find the value of Y

Answers

Answer:

∠y° = ∠69°

∠x = ∠69°

Step-by-step explanation:

1) The question relates to parallel line theorem

The given parameters are;

AB is parallel to CD

∠111° and ∠y° are consecutive interior angles

∠69° and ∠x° are alternate interior angles

When two parallel lines are crossed by a common transversal, the consecutive interior angles are supplementary (sum up to 180°), and the alternate interior angles are equal

Therefore, we have;

∠111° + ∠y° = 180°

∠y° = 180° - ∠111° = ∠69°

∠y° = ∠69°

2) For the alternate interior angles, ∠69° and ∠x°, we have;

Alternate angles are equal, therefore ∠x = ∠69°

What is the next term of the geometric sequence -3/5, 6/5, -12/5

Answers

Answer:

24/5

Step-by-step explanation:

Common ratio is:

-12/5 : 6/5 = -2

The next term is:

-12/5*(-2) = 24/5

jaylon is standing 42 feet above sea level and his Christian is swimming at a depth of 17 feet below sea level
what is the distance between the jaylon and Christian?​

Answers

Answer:

59 feet

Step-by-step explanation

42+17

A store sells backpacks in two sizes small and large . The large backpacks sell for 20% more than the smaller backpacks. If a large backpack costs $75, how much does the small size cost

Answers

Answer:

$50

Step-by-step explanation:

75x20%= 1500 then divided by 100 is 15. 75 - 15 is 50

50$
75*20%=1500
Divided by 100 is is 15.75-15 is 50

Read the proof. Given: AB ∥ DE Prove: △ACB ~ △DCE Triangle A B C is shown. Line D E is drawn inside of the triangle and is parallel to side A B. The line forms triangle D C E. We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA. We can state ∠C ≅ ∠C using the reflexive property. Therefore, △ACB ~ △DCE by the

Answers

Answer:

the answer is A

Step-by-step explanation:

on edgy

The triangles △ACB ~ △DCE are similar by AA similarity theorem.

What is AA similarity theorem?

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Given Triangle ABC with Line DE drawn inside the triangle and parallel to side AB. The line DE forms a new triangle DCE.

Because AB∥DE and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines.

Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA.

We can state ∠C ≅ ∠C using the reflexive property.

Therefore,  △ACB ~ △DCE  by the AA similarity theorem.

For more references on similarity, click;

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To figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?

Answers

Answer:

86

Step-by-step explanation:

36 + 4 = 40 x 2 =80  

36 x 2 = 82 = 4 - 86

Hope it helps!

The special number was supposed to be; 76

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

For age 'a', the special number was

 2a +4

Tammi's mother actually calculated it as;

 2(a +4) = 2a +8

Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be;

80 -4 = 76.

Learn more about equations here;

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A 12 ft ladder leans against a wall so that the base of the ladder is 5 ft from the wall How high, to the nearest foot, up on the wall will the ladder reach?

Answers

Answer: 10.9, about 11 ft

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + (5)^2 = (12)^2

Answer:

The ladder is the hypotenuse and one side equals 5 feet.

From the Pythagorean Theorem we can calculate the other side:

other side^2 = 12^2 -5^2

other side^2 = 144 -25

other side^2 = 119

other side = 10.9087121146

Rounding, we get 11 feet.

Step-by-step explanation:

Megan has 15% less money than Lisa. If Lisa has $200, how much money does Megan have?

Answers

I am so sorry but I don’t know the answer I just really needed the points to ask a question myself

Please help, i struggle in this

Answers

The slope of the graph is 4/6

The figure shows a line graph and two shaded triangles that are similar:



Which statement about the slope of the line is true?

Group of answer choices

A. It is fraction 1 over 2 throughout the line.


B. It is 2 throughout the line.


C.The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.


D.The slope from point O to point A is two times the slope of the line from point A to point B.

Answers

Answer:

A

Step-by-step explanation:

You can use the formula change in y divided by change in x, so for this the change in y would be 2 and the change in x would be 4. This means the slope is 1/2.

In a line, the slope never changes so it's A.

8 + 4f = 3f solve for f

Answers

Answer:

[tex]f=-8[/tex]

Step-by-step explanation:

[tex]8+4f=3f[/tex]

[tex]8+4f-4f=3f-4f[/tex] (Subtract [tex]4f[/tex] from both sides of the equation to isolate [tex]f[/tex])

[tex]8=-f[/tex] (Simplify)

[tex]-f=8[/tex] (Symmetric Property of Equality)

[tex]\frac{-f}{-1} =\frac{8}{-1}[/tex] (Divide both sides of the equation by [tex]-1[/tex] to get rid of [tex]f[/tex]'s coefficient; remember that [tex]-f=-1*f[/tex], so [tex]-f[/tex] has a coefficient of [tex]-1[/tex])

[tex]f=-8[/tex] (Simplify)

Hope this helps!

Answer:

Step-by-step explanation:

Here you go mate

Step 1

8+4f=3f  Equation/Question

Step 2

8+4f=3f  Simplify

8+4f=3f

Step 3

8+4f=3f  Simplify by subtracting

f+8=0

Step 4

f+8=0  Subtract 8 frm sides

answer

f=-8

Hope this helps

6th grade students were asked what their favorite subject was. 56 students said that math was their favorite subject. If there are 160 6th grade students, what is the percentage of students who chose math as their favorite subject?

Answers

Answer: 35%

Step-by-step explanation:

Given: total students in 6th grade = 160

Students said that math was their favorite subject = 56

The percentage of students who chose math as their favorite subject =

[tex]\dfrac{\text{Students like math}}{\text{Total students}}\times100[/tex]

[tex]=\dfrac{56}{160}\times100\\\\=35\%[/tex]

Hence, the percentage of students who chose math as their favorite subject = 35%.

I really need to finish this can somebody help

Answers

I think the answer would be 112.72 grams

Which expression is equivalent to21^3 sqrt15 - 9^3 sqrt 15 ?
A.12
B.30^3 sqrt 15
C.12^3 sqrt 5
D.12^3 sqrt 15
I have tried to complete this And I get stuck like 15 mins into it.

Answers

Answer:

D.12^3 sgrt 15

Sana makatulong

The expression that is equivalent to the given expression is 12√15. Option D is correct.

Given that,
Which expression is equivalent to 21√15 - 9√15 is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.


Here,
According to the question,
= 21√15-9√15
= (21 - 9 )√15
= 12√15

Thus, the expression that is equivalent to the given expression is 12√15. Option D is correct.

Learn more about arithmetic here:

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Can you help? Please :)

At Martin Luther King Jr. High School 7 out of 9 students voted to plant trees at the front of the school. A total of 119 voted to plant the trees. How many students voted?
A. 153
B. 272
C. 128
D. 135​

Answers

Answer and Step-by-step explanation:

To solve, you first divide 7 by 9.

Then, you divide 119 by 7/9.

[tex]\frac{7}{9} = 0.777777777777\\\\\frac{119}{0.77777777777} = 153.\\\\[/tex]

To check your work, divide 119 by 153, and you will get 0.777777777777, which is the same as 7 divided by 9.

So, the answer is A. 153

#teamtrees #WAP (Water And Plant)

Answer:

A

Step-by-step explanation:

I divided 119 by 7 which is 17. Then multiplied that by 2 because theres a gap of 2 between 7 and 9 and got 34. lastly added 119 by 34 and got 153. (Sorry if I got it wrong)

To the nearest unit, what is the perimeter of this pentagon?
27 units
29 units
30 units
34 units

Answers

I think it might be 27 no sure

Answer:

D(34)

Step-by-step explanation:

i did the math

help Math 39 points Asap Probability image below

Answers

Answer:

1/10

Step-by-step explanation:

There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.

There are five marbles altogether.

First is 2/5

The second blue is 1/4

The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10

When you have the base currency, what is the operation to do the conversion?

Answers

To convert from the base currency, we multiply by the exchange rate. Just like multiplying to apply a commodity price. Indeed, our base currency can be viewed as the commodity in the quote. Say we need to convert €8m into dollars, by applying the exchange rate EUR/USD 1.25.

help Solving Exponential Functions

Answers

Step-by-step explanation:

4) p(x)=256

p(x)=2 ^ x+2

256=2 ^ x+2

2⁸= 2 ^ x+2

8=x+2

x=8-2=6

5)243=3 ^ x+3

3×3×3×3×3 = 3 ^ x+3

3⁵= 3^ x+3

5 = x+3

x=5-3=2

Answer:

[tex]p(x) = 256 \\ p(x) = {2}^{(x + 2)} \\ {2}^{(x + 2)} = 256 \\ {2}^{(x + 2)} = {2}^{8} \\( x + 2) = 8 \\ x =( 8 - 2) \\ \boxed{x = 6}[/tex]

x=6 is the right answer.

[tex]243 = {3}^{(x + 3)} \\ {3}^{(x + 3)} = {3}^{5} \\ (x + 3) = 5 \\ x = (5 - 3) \\ \boxed{ x = 2}[/tex]

x=2 is the right answer.

PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

Step-by-step explanation:

11 is B and 12 is B. 11 is B because perimeter means to add all the outside values of the shape. 2.5+5+4+1 and then there are two missing side values which are 1.5 and 1, add them all together and the perimeter is 15. For the area, separate the small square with the big rectangle to have two full shapes. The area of the rectangle is 4x2.5=10. Area of the small square is 1x1=1. 10+1=11. Hope this helps, ask questions if you need to

Factor the four-term polynomial.
pq - 2r + pr-29

Answers

Your answer should be -18?

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.

Write the rational number as a decimal. −1/15=

Answers

Answer:

Step-by-step explanation:

1.15

Answer:

-0.067

Step-by-step explanation:

this is a answer

Can u pls help me with this question

Answers



You have to solve for the amount of readers.
=500 readers.

need help asap please​

Answers

Answer:

1.06

Step-by-step explanation:

18Y + 6 = 25 [given]18Y = 19 [subtract 6 from both sides]Y = 19/18 [divide both sides by 18]

To the nearest hundredth, the answer is 1.06.

what is 3/10 of 68249????????????

Answers

Answer:20474.7

Step-by-step explanation:

68249 divide by 10 then multiply by 3

hey can someone please please please help me asap?!

Answers

(-2,-2) I think is right

Answer:

slope=1

Step-by-step explanation:

Rise/Run

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