A circle with a center of (-4,5) passes through the point (2,3). What is its equation in standard form?

A Circle With A Center Of (-4,5) Passes Through The Point (2,3). What Is Its Equation In Standard Form?

Answers

Answer 1

The correct option is C.

\((x+4)^2+(y-5)^2=40\)

THe standard form of a circle is :

\(\mleft(x-a\mright)^2+(y-b)^2=r^2\)

Where (a, b) is the coordinates of the center and r is the radius,

We know the center, we need to find the radius. The radius is equal to the distance to any point of the circle to the center of the circle. Having 2 points P = (c, d) and Q = (e, f) the distance is:

\(d=\sqrt[]{(c-e)^2+(d-f)^2}\)

THen, in this case we have the points (-4, 5) and (2, 3). To find hte radius, w


Related Questions

is {(3,-2), (4,-2), (5,-2), (6,-2) a function

Answers

Answer:

yes

Step-by-step explanation:

This function is y=-2 which is a line that doesn't overlap.

Answer: Yes

Step-by-step explanation:

When you have these problems, you can know the answer by seeing if any of the x values are the same. If there are, it will only be a function if the y value is the same.

For example:

{(1,-2),(2,3),(1,-2),(3,4) would be a function because the x values of "1" have the same y value.

Another example:

{(1,-2),(1,3),(3,4),(4,5) would not be a function because the x values of "1" does not have the same y value

Hope this helps!

Help me please help me help please

Help me please help me help please

Answers

Answer:

y = 4x + 4

y = rise/run + y-intercept

Graph the line that passes through the points (-9, 7) and (-6,2) and determine
the equation of the line.

Answers

(-45) is the right answer

Answer:-45

Step-by-step explanation:

Use the figure to find x.

Use the figure to find x.

Answers

Answer:

\( x = 8.57\)

Step-by-step explanation:

Here two triangles are given to us , which are attached to each other . Here we can use the concept of Trigonometry to find out the value of x. The angles of the triangle are 60° and 45° . Let the common side be p .

Step 1: Use the ratio of tan in upper triangle

\(\rm\implies tan60^o = \dfrac{perpendicular}{base} \)

Substitute the respective values ,

\(\rm\implies \sqrt3=\dfrac{p}{7} \)

Cross multiply ,

\(\rm\implies p = 7\sqrt3 \)

Step 2: Use the ratio of cos in lower triangle

\(\rm\implies cos45^o = \dfrac{base}{hypontenuse} \)

Substitute the respective values ,

\(\rm\implies \dfrac{1}{\sqrt2}=\dfrac{x}{7\sqrt3} \)

Cross multiply ,

\(\rm\implies x= \dfrac{7\sqrt3}{\sqrt2} \)

Put the approximate values of √2 and √3

\(\rm\implies x= \dfrac{7\times 1.732}{1.414} \)

This equals to ,

\(\rm\implies \boxed{\blue{\rm \quad x = 8.57\quad}} \)

Hence the value of x is 8.57 .

Answer:

The value of x is \(\frac{7\sqrt{6}}{2}\)

Solution given:

AB=7

BD=x

<BAC=60°

<DBC=45°

In right angled triangle ABC

Tan 60°=opposite/adjacent

Tan 60°=BC/AB

Substitute value

\(\sqrt{3}\)=\(\frac{BC}{7}\)

BC=\(7\sqrt{3}\)

again

againIn right angled triangle BCD

againIn right angled triangle BCDUsing Cos angle

Cos 45=adjacent/hypotenuse

Cos45°=BD/BC

Substituting value

\(\frac{\sqrt{2}}{2}=\frac{x}{7\sqrt{3}}\)

Doing criss cross multiplication

\(\frac{\sqrt{2}}{2}*7\sqrt{3}=x\)

x=\(\frac{7\sqrt{6}}{2}\)

Use the figure to find x.

The weights X of an animal are distributed according to the
probability distribution shown.
What is the probability that the animal's weight will be less than
151 pounds?
O 0.25
O 0.50
O 0.60
O 0.75

Answers

The probability that the animal's weight will be less than 151 pounds is 0.50.

The correct option is B.

What is the probability that the animal's weight will be less than 151 pounds?

Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.

From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.

Therefore, the answer is O 0.50.

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The number of campers in the town of Clanwille was 20050. A year later the number of campers was 28025
Part A
If the number of campers each year is increasing exponentially enter an expression in the box to write a function to model this situation. Estimate the value of b to
the nearest hundredth. F(x)=.

Part B
What is the percent increase in the number of campers each year?

Answers

Answer:

Step-by-step explanation:

(28025 - 20050) / 20050 = 0.39775...

39.8 % annual increase

F(x) = 20050(1.398)ˣ

2. 7 cm In triangle ABC, AC = 7 cm, BC = 10 cm, angle ACB = 73° C 73° 10 cm Calculate the length of AB Give your answer correct to 3 significant figures. Diagram NOT accurately drawn B (Total 3 marks​

2. 7 cm In triangle ABC, AC = 7 cm, BC = 10 cm, angle ACB = 73 C 73 10 cm Calculate the length of AB

Answers

Answer:

AB = 10.398

Step-by-step explanation:

By cosine rule, we have:

AB² = AC² + BC² - 2(AC)(BC)cos(ACB)

⇒ AB² = 7² + 10² - 2(7)(10)cos(73)

⇒ AB² = 49 + 100 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140(0.292)

⇒ AB² = 149 - 40.88

⇒ AB² = 108.12

⇒ AB = √(108.12)

⇒ AB = 10.398

What is the answercto this equation? 5x+37=-6(1-8×)

Answers

Answer:

x=1

Step-by-step explanation:

5x+37=-6(1-8x)

Distribute

5x+37 = -6 +48x

Subtract 5x from each side

5x+37 -5x = -6+48x-5x

37 = -6+43x

Add 6 to each side

37+6 = -6+43x+6

43 = 43x

Divide by 43

43/43 = 43x/43

1 =x

Answer:

x=1

Step-by-step explanation:

5x+37=-6(1-8×)

5x+37=-6(-7)

5x+37=6 x 7

5x+37= 42

5x+37-37=42-37

5x=5

5x/5 = 5/5

x = 1

Hope it Helps !!

The two quantitative elements of process variation are: Select one: a. common cause and special cause b. median and variance c. central tendency and spread d. inspection and detection

Answers

Answer:

The two quantitative elements of process variation are:

a. common cause and special cause.

Step-by-step explanation:

When a process fails to follow the prescribed process pattern, with reduced productivity, higher costs, longer lead times, and late deliveries, a process variation has occurred.  Thus, process variation is a leading cause of quality issues.  There are common cause variation, which is inherent in the system itself, and special cause variation, which is caused by external factors outside of the system.  Process variations can be reduced by reducing the common and special cause variations, among other steps.

ANSWER FAST!!!!
x-7=4

Answers

The correct answer is x=11

Answer:

x=11

Step-by-step explanation:

7+4=11

4+7=11

11-7=4

11-4=7

Brainliest please?

                         XxRoadToAcexX

For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0

Answers

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

You make $12 an hour, plus time and a half for each hour over 40 hours that you work in a week. How many hours do yo need to work to earn $606?

Answers

Answer:

47 hours

Step-by-step explanation:

[606 -(12×40)]/(1½×12) =

(606-480)/(18) =

126/18 = 7

the total working hours = 40+7 = 47 hours

Answer:

47 hours

Step-by-step explanation:

First, we do 12 times 40, the answer we get is 480 dollars.

Then, we do 606 minus 480, the answer we get is 126.

Next, we do 126 divided by 18, and we get 7

Therefore, the total hours is 47 hours.

A sign in a bakery gives these options:

12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
a. Find each unit price to the nearest cent.

Answers

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Define unitary methοd.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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whats the answer to this question

whats the answer to this question

Answers

i acnt read itStep-by-step explanation:

draw the graph
X-1/ X-3​

Answers

Vertical Asymptotes:x=3

Horizontal Asymptotes: y=1

No Oblique Asymptotes

draw the graph X-1/ X-3

please help as soon as you can!!!!

please help as soon as you can!!!!

Answers

Answer:

l can not see the question.

Video game system and several games are sold for $664. The cost of the games is 3 times as much is a cost in system. Find the cost of the system the cost of the games.

Answers

Answer:

games=$483

system=$161

Step-by-step explanation:

Answer: the cost of the system is $166 and the cost of the games is $498.

Step-by-step explanation:

Find the value of x.
Leg= 8
Leg=x-4
Hypotenuse=8

Find the value of x.Leg= 8 Leg=x-4 Hypotenuse=8

Answers

The value of x is 10 if Leg= 8 and Leg=x-4.

What is Pythagoras theorem?

This states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

In this scenario we were given

Leg= 8

Leg=x-4

Hypotenuse=x

Therefore : x² = 8² + (x-4)²

x² = 64 + x² - 8x + 16

x² -  x² = 80 - 8x

8x = 80

x = 80/8 = 10

Therefore hypotenuse is 10 and the length of the other side is (10-4) = 6.

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Use the following sample data to answer the questions below
Favorite cola Number of responses
29
Coke
Pepsi
Diet Coke
Diet Pepsi
Coke Zero
Other
21
37.
28
19.
16
150
150
2
17)
a. Find the Probability of selecting a Coke person from this group.

Answers

Answer:

To find the probability of selecting a Coke person from this group, we need to divide the number of people who prefer Coke by the total number of people in the group.

The number of people who prefer Coke is 29. The total number of people in the group is 29 + 21 + 37 + 28 + 19 + 16 + 150 + 150 + 2 = 452.

Therefore, the probability of selecting a Coke person from this group is:

P(Coke) = Number of people who prefer Coke / Total number of people in the group = 29 / 452 ≈ 0.064

So the probability of selecting a Coke person from this group is approximately 0.064.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

I need the answer pls

I need the answer pls

Answers

The median is B. 2.5

Step-By-Step Explanation:

The dot plot goes by the data

1 2 2 3 3 4

those are six numbers in total!

Since 6 is an even number we'd need to find out the number in between the two numbers in the middle.

In this case that would be 2 and 3.

The number in the middle of 2 and 3 is 2.5

- - - - -

IN CONCLUSION

Your answer is B. 2.5

- - - - -

I hope I helped! :)

Grandpa Simpson borrows $10,000 to buy a car. There is a 5 percent interest rate for each year. What is the total amount of interest he will have to pay after 4 years? I need to get it correct for school.

Answers

$10,000 X 0.05 = $500/year
500 X 4 years = $2,000 after 4 years

Use the Distributive Property to expand −2(−3x−2) .

Answers

Answer:

6x + 4

Step-by-step explanation:

-2(-3x-2) = -2 × -3x + -2 × -2 = 6x + 4

Answer:

6x + 4

Step-by-step explanation:

up

I just need 10 and 11. Pleaseeee. Thank you !

I just need 10 and 11. Pleaseeee. Thank you !

Answers

Answer:

10. x ≈ 15,9

11. x ≈ 17,5

Step-by-step explanation:

10. Use the Pythagorean theorem:

\( {x}^{2} = {17}^{2} - {6}^{2} = 289 - 36 = 253\)

\(x > 0\)

\(x = \sqrt{253} ≈15.9\)

11.

\( {x}^{2} = {9}^{2} + {15}^{2} = 81 + 225 = 306\)

\(x > 0\)

\(x = \sqrt{306} ≈17.5\)

the length of a rectangle is 2ft more than twice the width. The area is 180 ft^2. find the length and width of the rectangle

Answers

Answer:

Area = length * width

 

112 = (2w+2)*w

 

112 = 2w^2 + 2w

 

0 =2w^2 + 2w - 112

 

0 = w^2 + w - 56

 

0 = (  w  +  8  )( w  -    7  )

 

w+8=0  results in negative measures

 

w-7=0 --> w = 7

 

width is 7

length is 16

what is x? 6(x+2)=2(x-3)
(Also I need good explanation please im very bad with my negatives and postives)​

Answers

Step-by-step explanation:

the answer is -2

I'll explain in commets

Answer:

-9/2

Step-by-step explanation:

6(x+2)=2(x-3)

6x+12=2x-6

6x-2x+12=-6

4x+12=-6

4x=-6-12

4x=-18

x=-18/4

simplify

x=-9/2

write the fraction as a mixed number homework

write the fraction as a mixed number homework

Answers

Answer:

9.  31/6 = 5 1/6

10.  20/10 = 2

Step-by-step explanation:

Question 9:

31/6     First, divide 31 by 6

31 ÷ 6 = 5.16667

Take only the whole number 5 (which will be the whole number in your final answer), and multiply it by the denominator, 6.

5 x 6 = 30

Subtract 30 from the numerator.

31 - 30 = 1

This is your new numerator, 1. Lastly, use the denominator from the original equation as your new denominator, 6.

So, 31/6 as a mixed number is 5 (and) 1/6

Question 10:

First divide 20 by 10.

20 ÷ 10 = 2

That's it! You already have a whole number so you don't need to do anything else.

So, 20/10 as a mixed number is 2.

Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe, and please mark brainliest!  :)

what is the value of x?​

what is the value of x?

Answers

Answer:

\(\boxed{\sf x = 80}\)

Step-by-step explanation:

A quadrilateral inscribed in a circle has opposite sides equal to 180.

So,

x + x + 20 = 180

2x + 20 = 180

Subtracting 20 from both sides

2x = 180 - 20

2x = 160

Dividing both sides by 2

x = 80

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 80

▹ Step-by-Step Explanation

x + x + 20 = 180

2x + 20 = 180

2x = 180 - 20

2x = 160

x = 80

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

need help pleaseee !!!

need help pleaseee !!!

Answers

(-1,2.5), (0,5), (1,10), (2,20)

2 MATH QUESTIONS 20 POINTS

2 MATH QUESTIONS 20 POINTS
2 MATH QUESTIONS 20 POINTS

Answers

Answer:

1. B

2. -6,-3

Step-by-step explanation:

what is the equation of a line that passes through the points (2,5) and (4,3)

Answers

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

To solve more problems based on the linear equations:

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