A circle passes through the point (2,2) and has its center at (1,-3). The radius of the circle is _ units.

Answers

Answer 1

Answer:

radius = [tex]\sqrt{26}[/tex] units

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Using the distance formula to calculate r

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (1, - 3)

r = [tex]\sqrt{(1-2)^2+(-3-2)^2}[/tex]

  = [tex]\sqrt{(-1)^2+(-5)^2}[/tex]

   = [tex]\sqrt{1+25}[/tex]

    = [tex]\sqrt{26}[/tex]


Related Questions

A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?

Answers

Answer:

13 : 8

Step-by-step explanation:

Number of plain bagels sold = 8

Number of rye bagels sold = 13

Ratio of the number of rye bagels to the number of plain bagels sold = 13 : 8

Also written as

13/8

Or

13 to 8

A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?

Answer: It is 13: 8.

Why is making a record of withdrawals and deposits in your checkbook register a good practice?

Answers

Answer:

it helps you balance your checkbook

Step-by-step explanation:

Balancing your checkbook means that you do a check in your account that shows how much money is available.

I hope it helps❤️

Decide whether each statement is true or false.

You are less likely to roll a 3 than a 4 on a die.
True
False


(I'm not good with probability..)

Answers

Answer: False

Both have equal probability
Please mark brainliest

mow much would 600$ invested at 8% interest compounded continuously be worth after 3 years?

Answers

The amount would be 2,250.

solve for x. round to the nearest tenth. If necessary​

Answers

Answer:

x = 14

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 Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = 7

Hypotenuse = x

Step 2: Solve for x

Substitute in variables [sine]:                                                                           sin(30°) = 7/x[Multiplication Property of Equality] Cross-multiply:                                       x = 7/sin(30°)Evaluate:                                                                                                           x = 14

Answer:

x = 14

Step-by-step explanation:

Given :-

θ, angle = 30°Hypotenuse = xopposite side = 7

Solution :-

Since, it's right triangle we can use trignometery equations;

In this case we need to use sine equation.

sin θ = opposite side / hypotenuse

plug the values

sin 30° = 7 / x.

cross multiplication

x = 7 / sin 30°

Evaluate

x = 7 / 0.5

x = 14

A squirrel has a 75% chance of finding food when it is sunny, but only a 25% chance of finding food when it is raining. Suppose there is a 50% chance of rain. What is the probability that a squirrel will find food?

Answers

Answer:

The probability is 0.5

Step-by-step explanation:

If there is a 50% chance of rain, then there is also a 50% chance of not rain.

Now let's write all the probabilities:

(just take the percentage and divide it by 100%)

Probability of rain: p = (50%/100%) =  0.5

probabiity for the squirrel to find food when it rains: q = (25%/100%) = 0.25

Then the joint probability, this is, the probability that rains and that the squirrel finds food, is equal to the product of these two probabilities, this is:

P1 = 0.5*0.25 = 0.125

And we also have the case where there is no rain.

Probability that does not rain: p' = (50%/100%) = 0.5

Probability that the squirrel finds food if doesn't rain: q = (75%/100%) = 0.75

The joint probability is:

P2 = 0.5*0.75 = 0.375

The total probability that the squirrel will find food is equal to the sum of the probabilities of the squirrel finding food if there is rain, and the probability of the squirrel finding food if there isn't rain, so the total probability is:

P = P1 + P2 = 0.125 + 0.375 = 0.5

During a sale, a store offered a 20% discount on a stereo system that originally sold for $320. After the sale, the discounted price of the stereo system was marked up by 20%.

Answers

Answer:

354 $ is correct

Step-by-step explanation:

your v id dead

12-2²·2=?

Brainliest

Answers

Answer:

it would be 4

12-4×2=12-8=4

Step-by-step explanation:

hope it helps you

[tex]\longrightarrow{\green{ 4 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➺ [tex] \: 12 - {2}^{2} .2[/tex]

➺ [tex] \: 12 - (2 \times 2 \times 2)[/tex]

➺ [tex] \: 12 - 8[/tex]

➺ [tex] \: 4[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Question 24 Multiple Choice Worth 1 points)
(8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis

Answers

Given:

The system of equations is:

Line A: [tex]y=x-4[/tex]

Line B: [tex]y=3x+4[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]y=x-4[/tex]              ...(i)

[tex]y=3x+4[/tex]           ...(ii)

Equating (i) and (ii), we get

[tex]x-4=3x+4[/tex]

[tex]-4-4=3x-x[/tex]

[tex]-8=2x[/tex]

Divide both sides by 2.

[tex]-4=x[/tex]

Substituting [tex]x=-4[/tex] in (i), we get

[tex]y=-4-4[/tex]

[tex]y=-8[/tex]

The solution of system of equations is (-4,-8).

Now verify the solution by substituting [tex]x=-4, y=-8[/tex] in the given equations.

[tex]-8=-4-4[/tex]

[tex]-8=-8[/tex]

This statement is true.

Similarly,

[tex]-8=3(-4)+4[/tex]

[tex]-8=-12+4[/tex]

[tex]-8=-8[/tex]

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

A line passes through (-3, -1) and is parallel to the graph of y= 2x +3. What equation represents the
line in slope-intercept form?


PLEASE HELPPP

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, so

y = 2x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = 2x + 5 ← equation of parallel line

The Equation of line is y = 2x + 5.

What is slope of a line?

The ratio of a line's change in y coordinate to its change in x coordinate is known as its slope.

Both the net change in the x-coordinate  is Δx and the net change in the y-coordinate are represented by Δy.

Given Equation

y = 2x + 3

and line passes through (-3, -1)

equation of line is given by,

y =mx + c

where m is slope,  given equation is parallel to graph the value of slope is equal for both

m = 2 from given equation

new equation is y = 2x + c

substitute values of x and y

-1 = 2(-3) + c

c = -1 + 6

c = 5

Equation of line is y = 2x + 5

Therefore the equation represents,

the line in slope-intercept form is y = 2x + 5

Learn more about slope of a line;

https://brainly.com/question/16180119

#SPJ2

a=10^x, b=10^yanda^y^*b*x=100then2xy=?​

Answers

Answer:

Here is your answer

Step-by-step explanation:

xy = 1

Hope you like it : )

Find the area of the equilateral triangle below. Round to 1 point
the nearest tenth.

Answers

Answer:

25√3mm

Step-by-step explanation:

this might be the answer..

Answer:

[tex]25\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{10^2*\sqrt{3} }{4}[/tex]

The temperature rose by 15°C from morning till noon. If the temperature
was less than 50°C at noon, write and solve an inequality to show the
possible temperature in the morning (use t to represent the temperature
in the morning)

Please help meeee

Answers

Step-by-step explanation:

answer is in photo above

...yea i just need help (:

Answers

Answer:

2/3-4

3 1/3

-1*3.3=-3.3

-3 1/3 divided by 5/6

-4

so a

Hope This Helps!!!

Answer:

-2/3+4÷5/6

-2+12÷3÷5/6

10/3÷5/6

10/3x6/5

2/1x2/1

4/1

4

Step-by-step explanation:

hope this is helpful

Find the surface area and the volume of the figure
Round to the nearest tenth if needed.

Answers

Answer:

See below

Step-by-step explanation:

Surface area:

S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)

Volume:

V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)

Answer:

> V = 217.68 cm³

> S = 227.14 cm²

Step-by-step explanation:

We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.

Firstly let's find out the volume .

> V = V_( cuboid) + V_(cylinder)

> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm

> V = 180 cm³ + 3.14 × 4cm² × 3cm

> V = 180 cm³ + 37.68 cm³

> V = 217.68 cm³

Lets find the surface area :-

> S = S_( cuboid) + S_( cylinder) - πr²

> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²

> S = 239.7 cm² - 12.56 cm²

> S = 227.14 cm²

Note :-

Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .

Which is a better estimate for the height of a 5-story building?

a. 15 centimeters b.15 meters

Answers

Answer:

b. 15 meters

Step-by-step explanation:

This doesn't involve a lot of math, just some common sense. 15 centimeters is about the size of a pencil so that is definitely not the answer. Therefore, 15 meters would be the correct choice.

Answer:

B bro

Step-by-step explanation:

TIME REMAINING
57:18
A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0).

What is the equation of the directrix?

x=−4
y=−4
x=4
y=4

Answers

it’s C, since it wasn’t going down we can assume it wasn’t a negative and it’s going up and the four is located where the X is (X,Y)

________ collect money from investors, create capital, and offer various investment options.

Fill in the blank
its 2 words

Answers

[tex]\sf\purple{Mutual \:funds}[/tex] collect money from investors, create capital, and offer various investment options.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

can someone help me please

Answers

Perimeter: 45ft
Area: 24cm^2

Hope this helped!! :) xxoo Have a nice day!

Answer:

8. B

9. B

Step-by-step explanation:

add all sides to get perimeter

multiply sections of the area to get area (length times width)

Is anyone free to help me? It's a picture .

Answers

Answer:

1. 8 units downwards and 2 units left

2.7 units right and 4 units upwards

3. 5 units right and 4 units downwards

Step-by-step explanation:

That how it goes

Find the reciprocal of 9.

Answers

the reciprocal of 9 is 1 divided by 9, i.e. 1/9

Country Day's scholarship fund receives a gift of $ 185000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 3.3 % interest, and stocks pay 7.5 % interest. Country day invests $ 20000 more in bonds than in CDs. If the annual income from the investments is $ 9560 , how much was invested in each vehicle?

Answers

Answer:

$65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.

Step-by-step explanation:

Since Country Day's scholarship fund receives a gift of $ 185000, and the money is invested in stocks, bonds, and CDs, and CDs pay 4.75% interest, bonds pay 3.3% interest, and stocks pay 7.5% interest, and Country day invests $ 20000 more in bonds than in CDs, if the annual income from the investments is $ 9560, to determine how much was invested in each vehicle, the following calculation must be performed:

55000 x 0.075 + 55000 x 0.0475 + 75000 x 0.033 = 9,212.5

57000 x 0.075 + 54000 x 0.0475 + 74000 x 0.033 = 9,282

65000 x 0.075 + 50000 x 0.0475 + 70000 x 0.033 = 9,560

Therefore, $ 65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.

Write the equation of the line
a) Slope = -2
Y intercept=5
b) Slope = 0.5
Passes through (0,1)

Answers

A) y=-2x+5
B) y=0.5x+1

PLEASE THIS PICTURES ANSWER PLEASE 10 POINTS ............................
NO WRONG ANSWER REPORT......​

Answers

Hey buddy I am here to help!

1. 8*5*2 = 40*2= 80cm2

3. 10*25*60 = 250*60 = 15000m2

2. 12*12*12 = 36cm2

4. 3*5*18 = 90*4 = 360m2

Hope my answer helps!

Plz mark me brainliest!

● Question 3. answer is wrong in last multiply so their answer is 1728m^3...

In this image their in question (1,2,3,4) answer...

I hope you understand...

Mark me as brainliest....

Thanks

what is the value of the expression below?​

Answers

Answer:

C

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then

[tex]121^{\frac{1}{2} }[/tex] = [tex]\sqrt{121}[/tex] = 11 → C

Can someone help me please really need help? I’ll help you back please & thanks

Answers

The answer is 6 days.

This is the equation
30d-60=20d
10d=60
d=6

Tasha is planning an expansion of a square flower garden in a city park. If both the length and the width of the original garden are each increased by *3m*, the new total area of the garden will be *49* squared meters. Find the length of each side of the original garden.

Answers

Answer:

4 m

Step-by-step explanation:

Since the flower garden is square :

Both length and width are equal :

Let :

Original side length = x

Increased length = x + 3

Area of square = s² (s = side length)

New area = 49 m²

That is ;

(x + 3)² = 49

Original length, x can be calculated thus ;

Take square root of both sides

x + 3 = √49

x + 3 = 7

x = 7 - 3

x = 4

Hence, original length of each side = 4 m

Representa en lenguaje algebraico el siguiente enunciado: La mitad de un número aumentado en seis unidades

Answers

A: because I get it right

A typical serving of fish is 4 ounces. What is this serving size in grams?

Answers

Answer:

the answer is 113.398 grams

113.398 grams
4 ounces is 113.398 in grams

Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5.15 ft at midnight, rises to a
high of 10.2 ft falls to a low of 0.1 ft, and then rises to 5.15 ft by the next midnight
What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the
situation?
Enter your answer in the box

Answers

Answer:

f(x)=5.05 sin((pi/12)x) + 5.15

Step-by-step explanation:

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