what is the standard equation of the circle in the graph

What Is The Standard Equation Of The Circle In The Graph

Answers

Answer 1

Answer:

option 1

Step-by-step explanation:

formula:(x-h)^(2)*(y-k)^(2)=r^2

well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2

if you move the circle 2 units up, plug it in you get (-2), so it is

(x+3)^2*(y-2)^(2)=r^2

now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus

(x+3)^2*(y-2)^(2)=9

this is the answer, and the option that has it is answer is option 1


Related Questions

Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.8 to negative 0.2, and then backwards from 0 to negative 0.8. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to negative 0.8 and then from negative 0.8 to negative 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to 0.8 and then from 0.8 to 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.6 to 0.2 and then from 0 to negative 0.6.

Answers

Answer:

Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line

Step-by-step explanation:

which number line shows correctly -0.8 + 0.6?

well lets write it in words minus eight tenths plus six tenths\

so minus:

you go 0.8 units to the left from 0,

then plus:

you go 0.6 units right from -0.8, getting to -0.2

since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:

we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2

The correct option is Option A: the number line goes from -1.6 to 1.6. An arrow goes from -0.8 to -0.2, and then backs from 0 to - 0.8.

What is a number line?

The number line is a straight line that is infinitely extended on which integers are placed in a unit interval.

Here given that we have to find the number line which shows -0.8 + 0.6

By checking all the options

Option A: in this option arrow goes from -0.8 to -0.2. the distance covered will be -0.2-(-0.8)= -0.2+0.8= 0.6. Then arrow backward from 0 to -0.8. then the distance will be -0.8-0= -0.8. So total displacement will be -0.8+0.6.

Hence option A is correct.

Option B: in this option arrow goes from 0 to -0.8 then the distance will be -0.8-0= -0.8. Then the arrow goes from -0.8 to -1.4. then the distance will be= -1.4-(-0.8)= -1.4+0.8= -0.6. So total displacement will be -0.8-0.6.

Hence Option B is incorrect.

Option C: in this option arrow goes from 0 to 0.8 then the distance will be =0.8-0= 0.8 then the arrow goes from 0.8 to 1.4. Then the distance will be 1.4-0.8= 0.6. So the total displacement will be 0.8+0.6

Hence Option C is incorrect.

Option D: in this option arrow goes from -0.6 to 0.2 then the distance will be 0.2-(-0.6)= 0.8 then the arrow goes from 0 to -0.6 then the distance will be= -0.6-0= -0.6. Then the total distance will be -0.6+0.8

Hence Option D is incorrect.

Therefore the correct option is Option A.

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Two machines are printing shirts. The first machine can produce 2,520 shirts in 180
minutes. The second machine can produce 1,440 shirts in 120 minutes. If the two
machines work together, how long will it take them to produce 6,500 shirts? If necessary,
round your answer to the nearest whole number.

Answers

Answer:

250Min

Step-by-step explanation:

1st machine = 2520 divided by 180min =14shirts/min

2nd machine =1440 divided by 120min =12 shirts/min

14 shirts/min +12shirts/min =26shirts/min

6500 shirts divided by 26shirts/min =250min

The answer is 250 minutes.

What is the rounding of decimals?

Rounding of decimals refer to the rounding of decimals to certain accuracy. Process of rounding of decimals ; put simply , if the last digit is less than 5, round the previous digit down. However, if it is greater than 5 then round the previous digit up.

Given, The first machine can produce 2,520 shirts in 180 minutes.

So, the first machine is making 2520 / 180 = 14 shirts per minute.

And The second machine can produce 1,440 shirts in 120 minutes.

So, the second machine is making 1440 / 120 = 12 shirts per minute.

If the both machines work together then both are making 14 + 12 = 26 shirts per minute.

To take them to produce 6500 shirts , both will take 6500 / 26 = 250 minutes .

Hence the answer is 250 minutes.

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While on the golf course last weekend Marc hit into the rough landing the ball behind a tall tree. His best option was to get it high enough to get over the tree and hopefully come down in the fairway for his next shot. So with a mighty swing he hit the ball into the air and was surprised to see the ball hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is: h(x)= -16x^2+120 where h is the height of the ball and x is the number of seconds the ball is in the air.

Question 1. How high did Marc actually hit the ball?

Later during that same golf outing, Marc decided to show off by trying to hit the green in one shot. So with his macho swing, he said he hit the green as the ball hung in the air for 15 seconds. The formula for this shot is: h(x)= -16x^2+200x

Question 2. How long did the ball actually hang in the air?

Answers

Answer:

120 ft at 0 seconds

Question 2: 12.5 seconds in the air

Step-by-step explanation:

h(x)= -16x^2+120

We want to find the vertex

The vertex is at

h = -b/2a = 0/-32 = 0

The maximum is at 0

h(0) = 0+120 = 120

it occurs at 0 seconds and a height of 120 ft

h(x)= -16x^2+200x

We want to find the zeros of the function

0= -16x^2+200x

Factor out  -8x

0 = -8x(2x -25)

Using the zero product property

-8x=0       2x-25 =0

x =0       2x =25

               x=25/2

The ball starts on the ground   at 0 seconds and lands at 12.5 seconds

Which expression is equivalent to
15a8b4/5a4b?

Answers

Answer:

[tex]3a^4b^3[/tex]

Step-by-step explanation:

[tex]\frac{15a^8b^4}{5a^4b}\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\=\frac{3a^8b^4}{a^4b}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{a^8}{a^4}=a^{8-4}\\=\frac{3b^4a^{8-4}}{b}\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=\frac{3a^4b^4}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3[/tex]

Point R has coordinates (-5, -7) and point T has coordinates (3,-3).
Which point is located 1/4 of the distance from point R to point T?
Enter x-coordinate of the point here
and they
coordinate of the point here​

Answers

Answer:

(-3,-6)

x-coordinate = -3

(I think)

Step-by-step explanation:

The pictures show my explanation.

Hope this makes sense! I hope this helps! Have a great day! :)

the high temperature in Alaska in December was 30 f and the low temperature was -2 f. what is the difference between the high and low temperatures?​

Answers

Answer:

the difference would be 28 degrees.

Step-by-step explanation:

The question says difference so we subtract the two following temperatures 30 and -2 which would be 28 degreees.

Answer: The difference between the high and low temperature in the thermometer is 32°F.

Step-by-step explanation:

Given information: Highest temperature = 30°F and the lowest temperature = -2°F.

We need to find the difference between the high and low temperature in the thermometer.

Difference between the high and low temperature is

Difference = Highest temperature - Lowest temperature

Difference = 30°F - (-2°F)

Difference = 30°F + 2°F

Difference = 32°F

Which is a zero of the quadratic function f(x) = 9x2 - 54x – 19?
x= 1/3
x=3 1/3

Answers

Answer:

x =1/3

Step-by-step explanation:

the zero quadratic function is x=1/3

The triangular park shown below is going to be surrounded by a fence the dimensions of the park are given in feet. How many feet of fencing will be needed to surround the entire park

Answers

Answer:

its 65

Step-by-step explanation:

which is lighter 900000g or 9 tonnes​

Answers

900000g coz 9 tonnes is like 9000000g

Answer:

900000gm is lighter than 9 tonnes

Step-by-step explanation:

907185 = 1 ton

907185 x 9 = 8164665

You underline how many digits = 7 and see that 900000gm has only 6 digits.

Someone help me ASAP please

Answers

Answer:

Step-by-step explanation:

use a^2+b^2=c^2.

5^2+7^2=c^2

25+49=c^2

sqrt74= 8.6 so side c is about 8 units

Answer:

C. about 8 units

Step-by-step explanation:

correct answer is c

Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figurine. It takes him 30 minutes and 8 milliliters of paint to complete a large figurine. Colton plans to paint for at least 360 minutes, and he can use a maximum of 100 milliliters of paint.

This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.

15x + 30 ≥ 360
5x + 8y ≤ 100



Which solution is valid within the context of the situation?

A.
(4,10)
B.
(-2,13)
C.
(1,11.75)
D.
(6,9)

Answers

Answer:

A

Step-by-step explanation:

B,C,D are not in the pink/purplish area when you plot them on the graph

Brainliest plz

Dear some moderators,

read before you delete no brainers!

From, a brainly user

Answer:

A. (4,10)

Step-by-step explanation:

Please help! Read the question down below!

Answers

4 ( times ) 6 = 24 ——> 3 trips and 6 buckets
that leaves us with —-> 1 trip and 2 buckets
24 ( minus ) 30 = 6
3 ( times ) 2 = 6 ——> 1 trip and 2 buckets

A planet has a circular orbit around a star. It is a distance of 59,000,000 km from the centre of the star. It orbits at an average speed of 41,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.

Answers

Answer:

380 days

Step-by-step explanation:

Problem in post:

The radius of the orbit of the planet is 59,000,000 km.

The orbit is circular, so the length of the orbit is the circumference of a circle with radius 59,000,000 km.

distance = circumference of orbit = 2(pi)r = 2 * 3.14159 * 59,000,000 km = 370,707,933 km

speed = 41,000 km/h

speed = distance/time

time * speed = distance

time = distance/speed

time = (370,707,933 km)/(41,000 km/h) = 9,042 hours

Now we convert hours into earth days.

1 earth day = 24 hours

9,042 hours * (1 day)/(24 hours) = 376.73 days

Answer: 380 days

Problem in comments:

Nina and Jo both ran an 8 km race.

Nina took 45 minutes to run the whole race.

Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km.

If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?

Solution:

They met at 5 km. Let's find out how long it took Nina to run 5 km.

We can use a proportion.

(8 km)/(45 min) = (5 km)/(x)

x * 8 km = 45 min * 5 km

x = [(45 * 5)/8] min

x = 28.125 min

They met after Nina was running for 28.125 minutes.

Jo started 4 minutes after Nina, so Jo ran for 4 minutes less than Nina. Jo ran 5 km in 24.125 minutes.

speed = distance/time

speed = (5 km)/(24.125 min) * (60 min)/(1 hr)

speed = 12.43523 km/h

Answer: Jo's speed is 12.44 km/h

When a number is decreased by 5%, the result is 20. What is the original number to the nearest tenth?

Answers

Step-by-step explanation:

so round up is b equal a plus 10....


Graph the following line on the axes provided:
F(x)=5/4x+1
Can you guys please help me am struggling with this

Answers

view the attached image for the graph.

What is the difference between (8y-7) and (1-3y)?

Answers

________________________________

Solution,

(8y-7)-(1-3y)

= 8y-7-1+3y

= 8y+3y-7-1

=11y-8

Hope it helps

Good luck on your assignment

_____________________________

Please help! Read the question below!

Answers

Answer:1 quarter, 2 dimes and 1 nickel, 5 nickels, 3 nickels and 1 dime

Step-by-step explanation:

Sorry but I’m answering this so I can post my question :)

3a) What is the side length of the following square?*

Answers

Answer:

5.831

Step-by-step explanation:

This is a similar problem to the last 2 you posted.

Start at bottom vertex. Go up 5. Go left 3.

c^2 = a^2 + b^2

c^2 = 5^2 + 3^2

c^2 = 25 + 9

c^2 = 34

c = sqrt(34)

c = 5.831

Hank’s age is 15 years less than twice his sister’ s age. If Hank’s sister is 22 years old, how old is Hank?

Answers

Answer:

29

Step-by-step explanation:

2s-15=h

2(22)-15=h

44-15=h

29=h

Answer:

29

Step-by-step explanation:

22 multiplied by 2 is equal to 44. Subtract 15 from 44 and you get 29.

PLEASE HELP ME !!!!!!!!!!

Answers

Answer:

x=139

Step-by-step explanation:

since a straight line is equal to 180 degrees line LN is 180 degrees therefore to figure x you must subtract 41 from 180 to get 139 hope this helps! :)

Answer:

z = 139°

Step-by-step explanation:

LON is a straight angle (an angle with 180°). You can tell just by looking at it.

41° is a supplement (meaning it adds up to 180°) of z.

From there you can just do

180° - 41° = 139°

z° = 139°

hope this help brainliest is always cool

The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey?


A. 20% of eighth-grade students preferred the seacoast

B. 32% of seventh-grade students preferred the mountains

C. 40% of students preferred the mountains

D. 48% of students preferred the seacoast

Answers

Answer:

The statement true about the results of the survey is:

D. 48% of students preferred the seacoast.

Step-by-step explanation:

To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:

150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = X

And operate:

X= (72 * 100) / 150 X = 48 (this means the 48%)

How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.

I need help with this question

Answers

-30(E+H=50)

-30E-30H=-1500

30E+60H=1950

(add the 2 equations)

0E+30H=450

H=15

(plug H into first equation)

E+15=50

E=35

What is the volume of a figure with that is 6 inches wide, 3 inches tall and 4 inches long?

Answers

Answer:

6*3*4 = 24*3 = 72 in^3

Answer:

72 cubic inches

Steps:

6*3*4 = 72

Description:

So its asking what is the volume. We know that we need to multiply. SO we get all the numbers from the question that is 6, 3 and 4. Multiply 6 times 3 times 4. You will get the answer that is 72.

Answer: 72 cubic inches

Please mark brainliest

Hope this helps.

Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.

Answers

Answer:

A(√2) would be the correct answer.

Answer:

[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]

Step-by-step explanation:

[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

please help me !!
slope and y-intercept
*image attached

Answers

Answer:

slope = 1 and y- intercept = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 6) ← 2 points on the line

m = [tex]\frac{6-4}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1

The y- intercept is the y- coordinate of the point where the line crosses the y- axis.

Here the y- intercept = 4

Need Help ASAP will give brainliest!!!!

Answers

Answer:

Puppy' present weight = 2250 grams

Puppy last weight = 600 grams

Difference = 2250-600 = 1650

%age increase = (1650/600) x 100

= 275%

i need help please....

Answers

Answer:

34

Step-by-step explanation:

area = (1/2)base * height.

area= half of 17 times 4

a=8.5 x 4

a=34

Answer: C

Step-by-step explanation:

Area = 1/2 bh

Area = 1/2 x 4 x 17

= 34 sq inches

James is 5'10", Emily is 5'7", Ruby is 6'0", Chad is 6'0", Russell is 5'10", and Ariel is 5'9". What is the median height of the people? A. 5'10 B. 5'9 C. 6'0 D. 5'10 and 6'10

Answers

Answer:

A 5'10

Step-by-step explanation:

You have to put the heights in order from least to greatest

5'7, 5'9, 5'10, 5'10, 6'0, 6'0

The middle number is your median. Since there is and even amount of numbers you add the two that are in the middle the divide the sum by two

5'10 + 5'10 = 11'8

11'8 ÷ 2 = 5'10

What is the measure of ED (the minor arc) in the diagram below?
HELPPP ASAP PLS

Answers

Answer:

C

Step-by-step explanation:

The measure of the inscribed angle DEF is half the measure of its intercepted arc, that is

[tex]\frac{1}{2}[/tex] ∠ DEF = arc ED , that is

arc ED = 2 × 78° = 156°  → C

 

Option c 156 is correct.

Angle of the arc at tangent EF = 78

What is area circle?

Area of circle is given by the pie times square of radius.

Since Angle made by chord with tangent is equal to halve the angle made by cord with its radius.
So

2 ∡DEF = measure of arc ED
= 2 x 78

= 156

Thus, the measure of are ED is 156°

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ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!​

Answers

So the first question that’s A is the blue team because they have 100 points , question B is both of the teams is at the same point together and question C , team blue because they scored 100 points , Hope this helps , brainliest will be appreciated:)
Other Questions
Consider the following data representing the price of laptop computers (in dollars). 12041204, 12061206, 13451345, 13061306, 12071207, 10781078, 13571357, 12321232, 12281228, 13021302, 11891189, 11771177, 10831083, 10941094, 13261326, 10711071, 14271427, 13481348, 14201420, 12531253, 1270 Determine the frequency of the fifth class. 250cm3 of fresh water of density 1000kgm-3 is mixed with 100cm3 of sea water of density 1030kgm-3. Calculate the density of the mixture.* For the dilation with center (0, 0) shown on the graph, your friend says the scale factor is 4.Is your friend correct or no? If he is incorrect, What is the correct scale factor? and what mistake did he likely make? Suppose the demand for air travel decreases (as illustrated in the graph below). A decrease in demand _____ the equilibrium price for air travel and _____ the equilibrium quantity for air travel. decreases, decreases increases, increases decreases, increases s this statement true or false?Egyptian, Byzantine, and Japanese containers are examples of decorative arts.truefalse Consider the market for pens. Suppose that the number of students with an allergy to pencil erasers increases, causing more students to switch from pencils to pens in school. Moreover, the price of ink, an important input in pen production, has increased considerably. Find the value of ymZ1 = 2y + 8 the sides of a triangle are in the ratio, 4:5:7 and its perimeter is 64cm. find its area , correct to 2 decimal places Which of the following statements best describes the concept of a function?Group of answer choicesFor a given input value, there is, at most, one output value.For a given output value, there is, at most, one input value.For a given input value, there may be more than one output value.There is no relationship between the input and output values. Please answer this correctly find the product of -8 (-12) How did the election of Rutherford B. Hayes in 1876 affect Reconstruction? A. Military occupation of the South was extended for four years. B. Military occupation of the South was ended. C. Hayes appointed Democrats as governors in the former Confederate states. D. Hayes worked with Congress to develop a plan for ending Reconstruction in states that ratified the 13th Amendment. What was Stephen A Douglass view on slaveryEach state should decide whether to be a free or slave state,The federal government should abolish slavery.Slavery should be prohibited in all new territoriesAll enslaved Amcans should be freed and granted citizenship, What is the simplified expression for the expression below? 4(x + 8) + 5(x 3)Which expression is equivalent to 6(x 4) -7n2 + 5n + 2 = 0Find the discriminant of each quadratic equation then state the number and type of solutions. features of action files Andrea Apple opened Apple Photography on January 1 of the current year. During January, the following transactions occurred and were recorded in the company's books: 1. Andrea invested $13,500 cash in the business. 2. Andrea contributed $20,000 of photography equipment to the business. 3. The company paid $2,100 cash for an insurance policy covering the next 24 months. 4. The company received $5,700 cash for services provided during January. 5. The company purchased $6,200 of office equipment on credit. 6. The company provided $2,750 of services to customers on account. 7. The company paid cash of $1,500 for monthly rent. 8. The company paid $3,100 on the office equipment purchased in transaction #5 above. 9. Paid $275 cash for January utilities. Based on this information, the balance in the A. Apple, Capital account reported on the Statement of Owner's Equity at the end of the month would be: A. $31,400. B. $39,200. C. $31,150. D. $40,175. E. $30,875. 3. What is the name of the process by which evolution occurs? Whats the correct answer for this question? Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2