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

can someone tell me the answers to this?

Answers

r= 56°

P=40°

c=14°

m=56°

Hope it helps you....

What is the distance between the points (5,0) and (2,1)?

Answers

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

3^2+1^2=c^2

9+1=c^2

c^2=10

c= [tex]\sqrt{10}[/tex]

Which of the following is the product of the rational expression shown below?[tex]((x)/(x+3))*((x)/(x+2))[/tex]


A. x^2/ x^2+5x+6

B. x^2/ x^2+6

C. 2x/ x^2+5x+6

D. x^2/x^2+5

Answers

Answer:

A

Step-by-step explanation:

A

The answer is A.hope it help u

plz help me I'm literally about to cry ​

Answers

Answer:

[tex](2,4)[/tex]

Step-by-step explanation:

Hope it is helpful...

8. The Oklahoma Museum of Natural History claims that on average, a square foot of grass contains 3.1 x 10^3 blades of grass. The soccer field has an area of 1.148 x 10^5 square feet. How many blades of grass are on the entire soccer field?​

Answers

Answer:

3.5588 x 10⁸

Step-by-step explanation:

(3.1 x 10³) (1.148 x 10⁵) = (3.1 x 1.148) (10³ x 10⁵)

= 3.5588 x 10⁸

9514 1404 393

Answer:

 3.6×10^8

Step-by-step explanation:

Your calculator or spreadsheet can multiply these numbers for you and give you the answer in scientific notation.

  (3.1×10^3)×(1.148×10^5) = (3.1×1.148)×10^(3+5) = 3.5588×10^8

The supplied numbers have 2 and 4 significant digits, so rounding of the answer to 2 significant digits is appropriate.

  about 3.6×10^8 blades of grass are on the entire soccer field


Help mark complete the pairs of expressions

Answers

Answer : B and C

if u do the equation on the calculator for the equation C,u will get the B

I need help with my math! Can you please help me!!

Answers

Answer:

[tex]y=-|x-1|+3[/tex]

Step-by-step explanation:

The graph of the function ([tex]y=|x|[/tex]) can be described as a perfect (v) shape composed of two lines with the equation ([tex]y=x[/tex]) and ([tex]y=-x[/tex]) with a range of ([tex]y\geq 0[/tex]). In the depicted graph, this function has undergone some transfomrations. The general format for a transformation of an absolute value function is the following;

[tex]y=(+-)n|x-k|+h[/tex]

The function can be inverted if the sign of (n) is (-). As per the given graph, the function is inverted, thus the answer will have a (-) sign in front of it. One can see that the (n) value has to be (1) or rather not present since the function has no scaling factor.

[tex]y=-|x|[/tex]

The function has been shifted (k) units to the right, one can see that the given function's vertex is (1) unit to the right, thus the equation of the function has a (1) in the position of (k).

[tex]y=-|x-1|[/tex]

The function is shifted (3) units up, thus the position of (h) is occupied by a (3).

[tex]y=-|x-1|+3[/tex]

Therefore the following answer choice is correct, as it fits all of the requirements;

[tex]y=-|x-1|+3[/tex]

A factory employs 200 men and 50 women. 80 of the men are each paid $100, the rest are paid $80 and the women are paid $50, what is the total wage bill.​

Answers

560? I believe im not positive

Recall that the permeter of a rectangle is p=2(w+l) where w is the width and l is the length. The length of a rectangle is 17 feet more than the width. Of the perimeter is 94 feet then what is the lenth of the rectangle in the feet

Answers

Answer:

Width = 15 feet

Length = 32 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width = x feet

Length = (x + 17) feet

Perimeter = 94 feet

Perimeter of a rectangle = 2(length + width)

94 = 2{(x + 17) + x}

94 = 2(x + 17 + x)

94 =2(2x + 17)

94 = 4x + 34

94 - 34 = 4x

60 = 4x

x = 60/4

x = 15

Width = x feet = 15 feet

Length = (x + 17) feet

= 15 + 17

= 32 feet

Please help I’ll give brainliest

Answers

Answer:

D. 12m^3n^5

Step-by-step explanation:

Answer:

12m³n⁵

Step-by-step explanation:

3 · 4 = 12

m² · m = m³

n³ · n² = n⁵

Therefore, 3m²n³ · 4mn² = 12m³m⁵

Add the following numbers. -6 + 5 =

Answers

-6 + 5
= -1.
Regards............

Step-by-step explanation:

-6 + 5 = -1

!!!!!!!!!!!!!!!!!!!!!!!

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm.

A solid right pyramid has a regular hexagonal base with an area of 5.2 centimeters squared and a height of h centimeters.

Which expression represents the volume of the pyramid?

One-fifth(5.2)h cm3
StartFraction 1 Over 5 h EndFraction(5.2)h cm3
One-third(5.2)h cm3
StartFraction 1 Over 3 h EndFraction(5.2)h cm3

Answers

Answer:

its c

Step-by-step explanation:

cause this dude think u gonna open a word link^^^^

Answer:

c) One-third(5.2)h cm3

Step-by-step explanation:

edge 2023

Please help me on this question

Answers

Answer:

Step-by-step explanation:

A=180/360×π(4^2)

A=1/2×16π

A=8π

the correct answer is 8π. i hoped this helped!

Solve this pleaseeeee

Answers

Answer:

-4 < n ≤ 5

Step-by-step explanation:

________________

which statement is true regarding the functions on the graph?

Answers

Answer:

where's the graph?

Step-by-step explanation:

Answer:

f(2) = 0 and g(2) = 0

f(2) = g(2) TRUE

b) f(0) = 2 and g(0) = -2

f(0) = g(0) FALSE

c) f(2) = 0 and g(0) = -2

f(2) = g(0) FALSE

d) f(0) = 2 and g(2) = 0

f(0) = g(2) FALSE


What is the measure of USQ

pls help

Answers

Answer:

USQ = 227°

Step-by-step explanation:

∠ QPR = ∠ UPT = 47° ( vertical angles )

∠ QPR is equal to the measure of the arc that subtends it , so

arc QR = 47°, then

arc USQ = arc USR + arc QR = 180° + 47° = 227°

Answer:

227º

Step-by-step explanation:

USQ = 180+47 = 227º

It takes 26 recyclable plastic soda bottles to make one polyester suit. How many bottles will be needed to make one dozen suits??

Need your help.

Answers

Answer:

It would take 312 bottles to make one dozen suits.

Step-by-step explanation:

One dozen suits = 12 suits.

As each suit costs 26 plastic soda bottles to make, we simply multiply 26 bottles by 12 suits to get 312 bottles.

Saw a board 5 ft 1 in. Long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be?

Answers

Answer:

The length of each piece is 0.833 ft.

Step-by-step explanation:

Length of board, L = 5 ft 1 inch

loss per cut = 1/5 inch

The board should be cut by 5 times to get the 6 pieces.

The loss in 5 cuts = 5 x 1/5 = 1 inch

So, the length of each piece is

[tex]L' =\frac{5 ft 1 in - 1in }{6}\\\\L' =\frac{5}{6}\\\\L' = 0.833 ft[/tex]

The length of each piece is 9 13/15 inches.

What is the length of each piece?

The first step is to determine the length of the board in inches. In order to do this, feet should be converted to inches.

1 feet = 12 inches

(12 x 5) + 1 = 61 inches

Total losses of the 6 cuts = 1/5 x 6 = 6/5 = 1 1/5 inches

Total length left = 61 inches - 1 1/5 inches = 59 1/5 inches

Length of each board = 59 1/5 ÷ 6

296 / 5 x 1/6 = 296 /30 = 9 26/30 = 9 13/15 inches

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

What is true about the sides of KNM?

KN = NM
KN + NM = KM
KM = 2(NM)
KN = One-halfKM

Answers

Answer:KN = NM

Step-by-step explanation:

you desperate anyways that’s why you here

Answer:

its the first one

Step-by-step explanation:

i did it

please mark me brainliest

Rikki decided to collect data to determine if a runner's time and speed are correlated. She determined the data to have a correlation coefficient of −0.5. What does this r value indicate?

Answers

Best answer


the R value in the calculator
also known as the amount of correlation the data points fit

which graph shows the solution to this system of linear inequalities?​

Answers

Answer:

c or b

tep-by-step explanation:

Help i dont know what this is

Answers

Answer:

Use a permitation :D

P(4,2)= 4x3=12

D, 1/12

14: A popular retailer offered 20% off their store for the entire weekend. Which of the following is the fraction equivalent of 20%?

Answers

Answer:

1/5

Step-by-step explanation:

20/100 or 1/5

The picture is above I’ll mark as brainliest.

Answers

Answer:

area=l×b

24=6×b

or,24=6b

or, 24/6=b

or,4=b

therefore,b=4..

width =4

Answer:

4 in

Step-by-step explanation:

Let x be the width of the triangle

we know that the area of the rectangle above is the product of the length and the width

[tex]6 . x = 24\\[/tex]

divide both sides by 6

[tex]6x/6 = 24/6 \\\\x = 4[/tex]

the width is 4 inches

whats the answer for
x/9+7>10

Answers

Answer:

x > 27

Step-by-step explanation:

x/9 + 7 > 10

Subtract 7 from goth sides.

x/9 > 3

Multiply both sides by 9.

x > 27

The answer is x>27 I

Find the equation of a line with the point (5, -3) and slope m = 2. (y=mx+b)

Answers

Answer:

y = 2x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = 2 , then

y = 2x + b ← is the partial equation

To find b substitute (5, - 3) into the partial equation

- 3 = 10 + b ⇒ b = - 3 - 10 = - 13

y = 2x - 13 ← equation of line

I need help

Solve for X when:2X=8

Answers

Answer:

x=4

Step-by-step explanation:

x=8/2 =4

this question is quite easy

If m(y) = 12 + 3 and nl) = 5% +9, which expression is equivalent to (n))?
5x + y2 + 15% - 27
2542 - 90% - 84
745x + 12
587 +24

Answers

Answer:

Option (2)

Step-by-step explanation:

Two functions have been given as,

m(x) = x² + 3

n(x) = 5x + 9

And we have to find the value of (mn)(x).

Since, (mn)(x) = m[n(x)]

Therefore, m[n(x)] = (5x + 9)² + 3

                              = 25x² + 90x + 81 + 3

                              = 25x² + 90x + 84

This expression matches with the expression given in option (2).

Therefore, Option (2) will be the answer.

There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?

Answers

Answer:

5/7 is the answer to your question

)) A farmer placed an order for 16 2/3 tons of fertilizer. He calculates that the corn fields
will require 8 5/6 tons of it. How much fertilizer will the farmer have left for his other crops?

Answers

Answer:

7 5/6

Step-by-step explanation:

16 2/3 - 8 5/6

16 4/6- 8 5/6

7 5/6

Other Questions
neither you nor your sister should to them, (a)talk (b)talks (c)talked (d) talking whats the inverse of f(x)=x-3/5 what is the resistance of a bulb of 40w connected in a line of 70v HELP!!!what app is the best to learn spanish? Please answer this correctly without making mistakes Which of the following is/are subject to the restrictions of the fair debt collection practice act cos 45tan 60/cot 30 find the value Joseph borrows $10000 from his sister Katie at an annual interest rate of 10%. If theinterest is compounded twice a year, how much does he owe after 12 months? Give your answer in dollars. Question:The researcher wants to calculate the bacterial count in the dish after x hours of growth.Fill in the values of A and b to write an exponential expression to model the number of bacteria in a colony that beginswith a single cell and doubles in size every hourA(b)^x The tendency for objects to resist acceleration is called *A) motionB) inertiaC) reaction forceD) sluggishness Problem 12Given 12 consecutive integers, in how many ways can three of these integersbe selected to give a sum which divides by 4?A step by step explanation. A 2.7 kg mass is connected to a spring (k=159 N/m) and is sliding on a horizontal frictionless surface. The mass is given an initial displacement of +19 cm and released with an initial velocity of -13 cm/s. Determine the acceleration of the spring at t=3.4 seconds. pls help mee Apply scientific knowledge and understanding to solve problemsThe diagram shows waves being produced on a rope.The waves are not reflected by the wall.I. Outline an arrow on the diagram to show the direction in which the waves transfer energyRelated to the previous diagram, Which one of the arrows, labeled, X, Y, or Z, shows the amplitude of a wave? Suppose that next year the U.S. will be in one of the following economic conditions: Boom, Moderate Growth, Recession, or Depression. The probability that each economic condition will occur, and that a jewelry store will earn profits within that broader economic condition are listed below:Economic ConditionProbability. Jewelry Store ProfitsBoom0.40 $400,000Moderate Growth0.30 $300,000Recession0.20 $100,000Depression0.10 -$500,000The standard deviation of the jewelry store's profits next year is how many homologous pairs of chromosomes are present in a haploid cell that has 8 chromosomes and is in anaphase II of meiosis ll? explain your answer Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possibleratio table for ingredients X and Y for the given number of servings? Which one of the following is not a key feature of the Indian Constitution?a.Separation of Power b.Secularismc.Presidential form of Government d.Federalismanswer fast photographers take time-lapse photos of the night sky . one of them is at quarter the other is at the south pole , which photo will show that stars never rise and set. explain what organs are involved in the muscular system WHAT DISTINGUISHES LOVE FROM INFATUATION? WHAT ARE SOME QUALITIES OF EACH? WHAT ARE SOME OF THE BEHAVIORS OF PEOPLE WHO ARE INFUATUATED? WHAT ARE SOME OF THE BEHAVIORS OF PEOPLE WHO ARE IN LOVE?