A circle is centered at the point -3 2 and passes through the point 1 and 5 the radius of the circle is blank units

Answers

Answer 1

Answer:

The radius of the circle is 5 units

Step-by-step explanation:

Given in the question,

centered point = (-3 , 2)

a point in the circle = (1,5)

To find the radius of circle we will use the circle equation

(x – h)² + (y – k)² = r²,

with the centre being at the point (h, k) and the radius being r.

Plug values in the equation

(1 – (-3))² + (5 – 2)² = r²

(1+3)² + (3)² = r²

4² + 3² = r²

25 = r²

r = √25

r = 5


Related Questions

jamal wrote the inequality x/16_<66. witch situation best represented by this inequality?

Answers

the number of candy bars (x) divided by 16 kids is less than or equal to 66 canyldy bars

What is 0.888 into a fraction, is it over 100ths or 1,000's?

Answers

Thanks for using Brainly!

[tex]0.888 = 111/125 = 88.8percent[/tex]

I just gave you 0.888 is it's fraction and percentage.

First, 111/125 is the simplified answer and is over the 100th and is not big enough for the 1,000's.

Second, 111/125 as a percentage is 88.8%.

Have a great day.

Calculate the amount of money you'll have at the end of the indicated time period. You invest $2000 in an account that pays simple of 3% for 20 years. The amount of money you'll have at the end of 20 years is?

Answers

Answer:

compound interest

Step-by-step explanation:

2000 * 20 to power of 3


2000 20 to power 3 hope that helps

I NEED HELP PLEASE PLEASE PLEASE (35 POINTS)

Answers

Answer:

a

Step-by-step explanation:


5–(6+9x)=9–(4x–1) evaluate the problem

Answers

the answer will be -11/5. i

Answer:

x=  - 2 and 1/5

Step-by-step explanation:

What are the factors of the square root of 329

Answers

Answer: [tex]x=-\dfrac{3}{2}, 7[/tex]

Step-by-step explanation:

[tex]2x^2-10x-26=x-5[/tex]

[tex]2x^2-10x-26-x+5=0[/tex]  Move all terms to one side

[tex]2x^2-11x-21=0[/tex] Simplify [tex]2{x}^{2}-10x-26-x+5[/tex]

[tex]2x^2+3x-14x-21=0[/tex] Split the second term

[tex]x(2x+3)-7(2x+3)=0[/tex]  Factor out common terms in the first two terms, then in the last two terms.

[tex](2x+3)(x-7)=0[/tex] Factor out the common term [tex]2x+3[/tex]

[tex]x=-\dfrac{3}{2}, 7[/tex]

Answer:

x = -3/4 and 7/2 will be your final answer, but check below for a correction on your work

Step-by-step explanation:

***Your work is incorrect, it should be

2x² - 11x - 21 = 0

you need to subtract an 'x' from both sides, and add 5 to both sides...you added an x to the left side and subtracted a 5 from the left side instead***

I'll solve this so in case you will need help on it too.

Now you'll have

x = (11 ± √[(-11²) - 4(2)(-21)])/([4(2)]

x = (11 ±  √289)/8

x = (11 ± 17)/8

x = (11 + 17)/8 = 28/8 = 7/2

or

x = (11 - 17)/8 = -6/8 = -3/4

the diagram show the approximate length and width of Nevada. Estimate the area of the state ​

Answers

Area of a triangle is 0.5(base x height)

Base = 320mi

Height= 270+210= 480mi

0.5(480 x 320) = 76,800 miles squared

What is 3m in cm
?????

Answers

Answer:

300 cm

Step-by-step explanation:

It’s 300cm
Hope this helps :)

What is the volume of the composite figure?

Answers

i got 2,592 ft^3

explanation (little figure on top): base is 9, height is 6, and length is 12.
9 x 6 x 12 = 648 cubic feet.

explanation (larger figure): base is 27, height is 6, and length is 12.
12 x 6 x 27 = 1,944 cubic feet.

now add the two together to get the whole volume.. 1,944 + 648 = 2,592 ft^3

hope this helps!

The table represents a bicycle rental cost in dollars as a function of time in hours.

which explains weather or not the function represents a direct variation ?

Answers

a.would be the best answer to me because base in the table is you look carefully.you would see that it is double by yen and it is a constant. rate of change a linear function. that is why I think it's the best answer.

Answer:

A

Step-by-step explanation:

It can not be B, because the statement in the reasoning is false.

Nor can it be C, the statement is irrelevant and unnecessary.

Nor D, it makes no sense.

It's A because it is true and makes sense.

8..................................

Answers

Answer:

The answer is [tex]2x^{3}y^{-2}\sqrt{6}[/tex]

Step-by-step explanation:

∵ √24 = 2√6

∵ [tex]\sqrt{x^{6}}=(x^{\frac{1}{2}})^{6}=x^{3}[/tex]

∵ [tex]\sqrt{y^{-4}}=(y^{\frac{1}{2}})^{-4}=y^{-2}[/tex]

∴ [tex]\sqrt{24x^{6}y^{-4}}=2x^{3}y^{-2}\sqrt{6}[/tex]

Solve the equation.


3p/8-13=-25

Answers

3p/8 - 13 = -25

3p/8 = -12 | * 8

3p = -96 | : 3

P = -32

Answer:

The value of p is -32

Step-by-step explanation:

see the image

Abby caught a fish that was 10 3/8 inches long. Brandon caught a fish that was 8 5/8 inches long. How much longer was Abby's fish than Brandon's fish?

Answers

what you do is take 5 away from 3. No! Borrow 1 Whole (9) and makes it 9 13/8 - 8 5/8 then subtract the 2 fractions

[tex] \frac{13}{8} - \frac{5}{8} ...[/tex]

and that is

[tex] \frac{8}{8} [/tex]

then convert that into 1 whole. Now add the whole to the 9 and thats 10. Now, subtract the 2 whole numbers. 10-8=2 so the answer is 2

A sphere and a cylinder have the same radius, and the height of the cylinder is equal to its radius; which figure has the greater volume?

Answers

Final answer:

Given a sphere and a cylinder with the same radius, r, and the height of the cylinder equal to the radius, the sphere has a greater volume. This is concluded by comparing the volume formulas for a sphere (4/3πr³) and a cylinder (πr³).

Explanation:

The sphere and cylinder have the same radius, r, and the height of the cylinder, h, is equal to its radius, r. We'll calculate the volumes of both an apply our given conditions to see which figure has a greater volume.

The formula for the volume of a cylinder is Vcylinder = πr²h. In this case given that h=r, it becomes Vcylinder = πr³.

The formula for the volume of a sphere is Vsphere = 4/3πr³.

Comparing both, we definitely see that the sphere with a volume of 4/3πr³ is greater than the cylinder with a volume of πr³

Learn more about Volumes of Solids here:

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A sandwich shop loses $1.20 every time somebody buys a sandwich, but makes $1.80 every time somebody buys a drink. One day, the shop sells 100 drinks, and makes a profit of over $100. Which are possible numbers of sandwiches the shop could have sold? Check all that apply.

A. 0 sandwiches
B. 40 sandwiches
C. 60 sandwiches
D. 70 sandwiches
E. 80 sandwiches

Answers

Answer:

A, B, and C

I think. Please let me know if wrong.

Heres what i did:

1.8 x 100 = 180.

180 - 80 = 100

(they made over 10 in profit)

A. 1.2 x 0 = 0

B. 1.2 x 40 - 48

C. 1.2 x 60 = 72

D. 1.2 x 70 = 84

E. 1.2 x 80 =96

D and E bot Exceed 80 so it has to be AB and C

Hope this Helps ☺

Answer:

A,b,c

Step-by-step explanation:

P=1.8d-1.2s

P=180-1.2s

100=180-1.2s

-80=-1.2s

66.7=s

If they sold ≥67 sandwiches, p<100

If they sold ≤66 sandwiches, p>100

Therefore A, B and C are correct

In a 30-60-90 triangle, the length of the long leg is 8. Find the length of the hypotenuse.

Answers

Answer:

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are 1-√3-2.

If the long leg is 8, then the short one is 8/√3, or 8√3/3.

Therefore, the hypotenuse, which is double the short leg, is 16√3/3.

Final answer:

In a 30-60-90 triangle, the long leg is √3 times the short leg and the hypotenuse is twice the short leg. By knowing the long leg and using these relationships, we can work out the short leg and then the hypotenuse. In this specific problem, the hypotenuse of the triangle is approximately 9.24.

Explanation:

In a 30-60-90 triangle, the ratio of the side lengths is consistent. The length of the long leg is always √3 times the length of the short leg. The hypotenuse, which is the longest side of the triangle, is always twice the length of the short leg. If the length of the long leg is 8, the formula of this triangle can be used to find the length of the hypotenuse.

However, in your question, the length of the short leg isn't given. But based on the formulas for a 30-60-90 triangle, we can work it out. As long as we know that the long leg is √3 times the short leg, we can solve for the short leg, hence it's 8/√3.

Then, as the hypotenuse is twice the short leg, so hypotenuse = 2 * (8/√3) = 16/√3 ≈ 9.24.

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7 POINTS!!! ~ A 6 foot tall man casts a shadow that is 4.5 feet long. A telephone pole casts a shadow that is 15.6 feet long. Two similar triangles are created. How tall is the telephone pole?

Answers

Hello!

The answer is:

The telephone pole is 20.8 foot tall.

Why?

Since it's not mentioned, we can assume that both, man and the telephone pole are close, so, if two similar triangles are created, we know that both shadows are proportional and we can find the telephone pole height creating a proportionality relationship.

We can find the telephone pole height using the following equation,

[tex]\frac{ManHeight}{ManShadow}=\frac{PoleHeight}{PoleShadow}[/tex]

Were,

Man height is 6 foot

Man shadow  is 4.5 feet long

Telephone pole shadow is 15.6 feet long.

So, substituting we have:

[tex]\frac{6}{4.5}=\frac{PoleHeight}{15.6}[/tex]

[tex]PoleHeight=15.6*\frac{6}{1.5}=20.8ft[/tex]

So, the telephone pole is 20.8 foot tall.

Have a nice day!

Can you help me with 4? Can you give me a rule to follow when naming these?

Answers

Answer:

2,2 dimethyl propane

Step-by-step explanation:

To name such an organic compound, first identify the longest carbon chain in the provided table, the fourth compound, its longest carbon chain has three carbon atoms thus, the prefix prop-

Then we find the other substituents attached to the carbon chain. In the given compound it has two methyl (CH₃) groups attached to the second carbon atom.

thus 2,2 since there are two attached.

PLS HELP ASAP. IM TIMED​

Answers

44 square feet



Diameter (4) divided by 2 is radius (2).


SA = 2πr^2 + 2πrh

SA = 2 * 3.14 * 2^2 + 2 * 3.14 * 2 * 3

SA = 2 * 3.14 * 4 + 2 * 3.14 * 2 * 3

SA = 6.28 * 4 + 6.28 * 3

SA = 25.12 + 18.84

SA = 43.96

Round to the nearest tenth.

SA = 44 square feet



Please consider marking this answer as Brainliest to help me advance.

Choose the constant term that completes the perfect square trinomial.

y 2 + 8y

Answers

8 divided by 2=4 then square the 4

16

Answer:

16

Step-by-step explanation:

A perfect square trinomial is a three-term polynomial (also called a trinomial) that results from squareing a binomial. Every trinomial of the form: [tex]a^{2} +2ab+b^{2}[/tex], It is a perfect square trinomial.

In this case, it is necessary to divide the intermediate value of 8 by 2, and then square it, obtaining the result.

solve x^2+10x=24 by completing the sqaure. which is the solution set of the equation

Answers

Answer:

{-12, 2}

Step-by-step explanation:

x^2 + 10x = 24

Take half of the x-term coefficient and square it. Add that to both sides.

Half of 10 is 5. 5^2 = 25.

x^2 + 10x + 25 = 24 + 25

(x + 5)^2 = 49

x + 5 = +/-sqrt(49)

x + 5 = 7 or x + 5 = -7

x = 2 or x = -12

{-12, 2}

How to do this ?? How​

Answers

Answer:

The answer in the procedure

Step-by-step explanation:

we have

x+2y > 6

Isolate the variable y

y > -0.5x+3

The solution of this inequality is the shaded area above the dashed line

The equation of the dashed line is y=-0.5x+3

The slope of the dashed line is negative (m=-0.5)

The y-intercept of the dashed line is 3 (value of y when the value of x is equal to zero)

The x-intercept of the dashed line is 6 (value of x when the value of y is equal to zero)

Plot the intercepts to draw the dashed line and shaded the area above the dashed line

see the attached figure

If f(x)= (1/7)(7^x) what is f(3)

Answers

subsitute 3 as x

f(3) = (1/7) × (7^3)

f(3) = 1/7 × 343

f(3) = 343 ÷ 7

f(3) = 49

The required value of f(3) = 49.

f(x)= (1/7)(7^x)

what is exponential function?

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).  

f(x)= (1/7)(7^x)
f(3) =
1/7(7^3)

f(3) = 1/7 x 7³
f(3) = 7² = 49

Thus the required value for f(3) = 49

learn more about exponential function here:

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Given f(x) = 10 -2xfind f(7). –4 3 7 56

Answers

Answer: [tex]f(7)=-4[/tex]

Step-by-step explanation:

1. You have the following function given in  the problem:

[tex]f(x)=10-2x[/tex]

2. Then, to find [tex]f(7)[/tex] asked in the exercise, you only need to substitute [tex]x=7[/tex] (which is the input value) into the given function.

3. Therefore, keeping the above on mind, you obtain that [tex]f(7)[/tex] is:

[tex]x=7[/tex]

[tex]f(7)=10-2(7)[/tex]

[tex]f(7)=10-14[/tex]

[tex]f(7)=-4[/tex]

Answer:

The correct answer is,

f(7)  -4

Step-by-step explanation:

It is given that,

f(x) = 10 - 2x

To find f(7)

To find f(7) we have to put 7 instead of x in f(x).

Here  f(x) = 10 - 2x,

Step 1: substitute the value x = 7 we get ,

f(7) = 10 - (2 * 7)    

 = 10 - 14 = -4

Therefore we get the answer  f(7) = -4

The correct answer is first option.

Bill drew each face of an ice cube below.



Note: Figure is not drawn to scale.

He measured the length of each edge to be 2.5 cm. What is the surface area of the ice cube?
A.
37.5 sq cm
B.
15 sq cm
C.
13.5 sq cm
D.
27 sq cm

Answers

Answer:

Option A. [tex]37.5\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of a cube is equal to

[tex]SA=6(b)^{2}[/tex]

where

b is the length side of the cube

In this problem we have

[tex]b=2.5\ cm[/tex]

substitute the value in the formula

[tex]SA=6(2.5)^{2}=37.5\ cm^{2}[/tex]

Answer:

if i had to say i would say B. 15 sq cm

Step-by-step explanation:

Please can someone help me I’ve been stuck in this for a while and I don’t get it, help please?

Answers

C . Permutation number of ways = 1

n edge of Cube A is 8 inches, and an edge of Cube B is 5 inches. To the nearest tenth, how many times greater is the volume of Cube A than Cube B?

Answers

Answer:

4.1 times greater

Step-by-step explanation:

The formula of a volume of a cube:

[tex]V=a^3[/tex]

a - edge

Cube A:

a = 8in. Substitute:

[tex]V_A=8^3=512\ in^3[/tex]

Cube B:

a = 5in. Substitute:

[tex]V=5^3=125\ in^3[/tex]

[tex]\dfrac{V_A}{V_B}=\dfrac{512}{125}=4.096\approx4.1[/tex]

Sandi lives 5 miles from her school. One day, she took the bus from her house to school. After school, she went to the library to pick out a book. Then she went to the park to read. If sandi traveled along the route shown, how far did she travel.

Answers

Her house to school is 5 miles.

The distance on the map is 2.5 inches, so we know 2.5 inches equals 5 miles.

Divide 5 miles by 2.5 inches to find miles per inch:

5 / 2.5 = 2 miles per inch.

Now you can multiply the other dimensions on the map by 2 to find total miles:

School to Library = 3 x 2 = 6 miles.

Library to Park = 1.5 x 2 = 3 miles.

Total distance traveled: 5 + 6 + 3 = 14 miles.

What is the value of c in the equation below?

Answers

Answer:

1/4

Step-by-step explanation:

Let's find the value of c.

                              1         2^2        1

2^(-4)*2^2 = c = --------- * -------- = -------- = 1/4

                             2^4          1         2^2

this result matches the fourth given possible answer choice.

For this case we have that by definition of power properties:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

We have the following expression:

[tex]2 ^ {- 4} * 2 ^ 2 = a ^ b = c[/tex]

It can be rewritten as:

[tex]\frac {2 ^ 2} {2 ^ 4}[/tex]

By definition of power properties we have:

[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]

So:

[tex]\frac {2 ^ 2} {2 ^ 4} = 2 ^ {2-4} = 2 ^ {- 2} = \frac {1} {2 ^ 2} = \frac {1} {4}[/tex]

Thus, [tex]c = \frac {1} {4}[/tex]

Answer:

Option D

plz answer DDDDDDDDDDDDDDDDDD! using the line plot

Answers

Answer:

a. 6

b. 9

c. 4

Step-by-step explanation:

a.

Range = greatest - smallest

Range = 85 - 79

Range = 6

b.

b > 81

82, 83, 84...

3 82s

4 83s

2 85s

3 + 4 + 2 = 9

c.

b = 83

4 83s

4

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