How do you write an equation for a circle with center (2,4) and passes through point (5, 9)?

Answers

Answer 1

The equation of a circle is:

(x - h)² + (y - k)² = radius²

where (h, k) is the center.

We can plug in the given information from the description and solve for the radius.

(x - 2)² + (y - 4)² = radius²

To find the radius, we do the distance formula from the center to the point on the circle.

Distance = [tex] \sqrt{ (Y2-Y1)^{2} + (X2 - X1)^{2} } [/tex]

D = [tex] \sqrt{ (9 - 4)^{2} + (5 - 2)^{2} } [/tex]
D = [tex] \sqrt{ 5^{2} + 3^{2} } [/tex]
D = [tex] \sqrt{25 + 9} [/tex]
D = [tex] \sqrt{34} [/tex]

That is your radius. Now we plug it in.

(x - 2)² + (y - 4)² = (√34)²

Your final answer is:

(x - 2)² + (y - 4)² = 34

Related Questions

What is the following quotient?

3^√60
------------
3^√20

Answers

Answer:

its 3√3 bud

Step-by-step explanation:

Answer:

Step-by-step explanation:

2. A cube-shaped aquarium has edges that are 3 ft long. The aquarium is filled with water that has a density of 62 lb/ft^3

(a) Should the aquarium be placed on a table that can support a maximum weight of 200 lb? Explain why or why not.

(b) Would the density of the water change if the aquarium was only half full? Explain. Answer:

Answers

Total mass of the filled aquarium = 3*3 * 62 = 1674 pounds
As the table can only support 200 lbs the aquarium should not be put on the table.

(b) No the deisity of the water is a constant

(a)

3*3*3=27

27*62=1674

Your answer: 1674

(b)

No, no matter how much water there is, the density will never change.

If A(-1,3), B(4,4), C(8,1) , then classify ABC as scalene, isosceles, or equilateral.

Answers

For this case we use the formula of distance between points.
We have then:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
For AB:
AB = root ((4 - (- 1)) ^ 2 + (4-3) ^ 2)
AB = 5.099019514
For AC:
AC = root ((8 - (- 1)) ^ 2 + (1-3) ^ 2)
AC = 9.219544457
For BC:
BC = root ((8-4) ^ 2 + (1-4) ^ 2)
BC = 5
We observe that it has three sides with different dimensions, therefore, the triangle is scalene.
Answer:
Scalene

Using the sample results, estimate the proportion of the entire population that would like to take a cruise to Bermuda.

Answers

The proportion of the entire population (the senior class of 800) is presumed to match the proportion of the sample (150 students).

That proportion is 5/150, matching ...
A) 0.03

A.0.03 is the answer.....................................................

Simplify the radical expression.
square root of 20
A. 2√10
B. 5√2
C. 2√5
D. 2

if anyone has the answers to the unit test let me know :)

Answers

The answer is c and in decimal form it would be 4.4727

[tex] \sqrt{20} = 2 \sqrt{5} [/tex]

Suppose y varies directly with x and y=-25 when x=5. find y when x=3

Answers

Let y= -5(x) so that if x =5; y = -5(5) = -25; Therefore let x =3; y = -5(3) = -15

Final answer:

To solve for y when x = 3, we first determined the constant of proportionality (k) using the given values (y = -25 when x = 5). With k found to be -5, we then calculated y for x = 3 to find that y = -15.

Explanation:

The question asks us to find the value of y when x = 3 given that y varies directly with x and that y = -25 when x = 5. Because y is directly proportional to x, we can write the relationship as y = kx, where k is the constant of proportionality.

First, we solve for k:

Set up the equation based on the given information: y = kx

Substitute the known values: -25 = k(5)

Solve for k: k = -25 / 5 = -5.

Now that we have found k, we can use it to find y when x = 3:

Use the determined value of k: y = -5(3)

Multiply to find y: y = -15.

Therefore, when x = 3, y is -15.

the value 5 is a an upper bound for the zeros of the function shown below f(x)=x^4+x^3-11x^2-9x+18

A. TRUE
B. FALSE

Answers

Answer:

Answer to this question is TRUE.

Step-by-step explanation:

The graph of the function:

[tex]f(x)=x^4+x^3-11x^2-9x+18[/tex] is attached to the answer.

Clearly by looking at the graph we could see that the zeros of the function f(x) are -3, -2, 1 and 3.

All the zeros are distinct.

" Also upper bound of a number 'p' means the set of all those numbers which are greater than 'p' ".

Here 5 will be an upper bound for the zeros of the function f(x) since all the 4 zeros of f(x) are less than 5.

Hence, the given statement that the value 5 is an upper bound for the zeros of the function f(x) is TRUE.

Answer:

true

Step-by-step explanation:

What is the range of the data set

2 | 1, 3, 8, 8
5 | 2, 4, 6, 6, 7
6 | 0, 1, 1

Key: 6| 0 means 60 please help i do not get this plz solve

Answers

The range is the difference between the highest and lowest values.
The highest value is 61.
The lowest value is 21.

range = highest value - lowest value = 61 - 21 = 40

Expenses that are bi-weekly are paid twice a week twice a month every two weeks every two months

Answers

Expenses that are bi-weekly are paid every two weeks.

Answer:

Expenses that are bi-weekly are paid every two weeks.

Step-by-step explanation:

Expenses that are bi-weekly are paid every two weeks.

A bi-weekly pay schedule is the most commonly used pay period by employers. It is also called every other week pay period.

This payment method results in 26 paychecks in a year.

tan 49 = x/400
please solve

Answers

Tan 49 = x/400

Therefore, 400tan49 = x (simple algebra)

X = 460.147

Three different bags of pretzels are sold at the store. which bag of pretzels is the best buy? bag a:10 ounces for $1.10 bag b:12 ounces for $1.38 bag
c.6 ounces for $0.84

Answers

----------------------
Bag a:
----------------------
10 ounces = $1.10
1 ounce = $1.10 ÷ 10 = $0.11

----------------------
Bag b:
----------------------
12 ounces = $1.38
1 ounce = $1.38 ÷ 12 = $0.115

----------------------
Bag c:
----------------------
6 ounces = $0.84
1 ounce = $0.84 ÷ 6 = $0.14

--------------------------------------------------
Answer: Bag A is the best buy.
--------------------------------------------------

The best buy bag is bag A

2/5x = -3/15 + 1/x

x=0
x=15
x=5
x=3

Answers

Answer:

x = 3

Step-by-step explanation:

[tex]\dfrac{2}{5x}=-\dfrac{3}{15}+\dfrac{1}{x}\\\\\dfrac{1}{5}=\dfrac{5-2}{5x}\qquad\text{add $\frac{3}{15}-\frac{2}{5x}$}\\\\x=3\qquad\text{multiply by 5x}[/tex]

please help asap 45 pts

Answers

C) if you multiply it you get w^2 + 7w +11w+77, which is w^2+18w+77

the answer is C.
hope that help

What is the equation of the line whose y-intercept is 3 and slope is 1?

y=x-3
y=x+3
y=3x+1

Answers

The answer is y=x+3.

Hope this helps! :)

Solve the equation. 20 = –d + 16

A. 4

B. –10

C. –6

D. –4

Answers

Hello there
The correct answer to this question would be D: negative 4

This is because the negatives from negative 4 and negative d would cancel each other out, to make it a positive 4, resulting in the equation being: 20 = 4 + 16 , which is true

I hope this helped ^^

Claire has received scores of 85, 88, 87, and 80 on her algebra tests. what is the minimum score she must receive on the fifth test to have an overall test score average of at least 82 ?

Answers

85+88+87+80+x/5=82

340+x=410

410-340=70

Graciela is working to earn 200$ . she earns 25$ mowing her grandmas lawn and 60$ for a day of housecleaning what decimal represents the part of money graciela still needs to earn

Answers

25 + 60 = $85. 85/200 and x/100. 100 times 85= 8500. Divide 8500 by 200= 42.5 Hope this helps!

14) Jillian has $50 that she plans on investing in an account that will double her money every week. This can be represented by the equation M = 50(2)x where M represents the amount of money she has and x represents the number of weeks that have passed. Her uncle Charlie gives her a gift of $400 so she decides to start her investement with that money plus the $50 she already had. What should be changed in the equation M = 50(2)x to represent the new situation?

Answers

it should still be m= 50(2)x just add +400 to the end!

Use 3.14 for pi. Round your answer to the nearest hundredth.

Answers

The calculated area of the shape is 50.24 square units

Finding the area of the shape.

From the question, we have the following parameters that can be used in our computation:

The shape

The area of the shape is calculated as

Area = 1/4πr²

Where

Radius, r = 8

Substitute the known values into the equation

Area = 1/4π * 8²

Evaluate

Area = 16π

So, we have

Area = 16 * 3.14

Evaluate

Area = 50.24

Hence, the area of the shape is 50.24 square units

Question

Find the area of the shape.

Use 3.14 for pi. Round your answer to the nearest hundredth.

NEED HELP PLEASE I BEG!!!!!!
The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.

What is the survey’s margin of error?

Enter your answer in the box. ± ___ %
The answer goes on the underscores

Answers

The confidence interval estimator of the population proportion is given by

[tex]C.I.=\hat{p}\pm M.E.[/tex]

where: [tex]\hat{p}[/tex] is the sample proportion, which is midway between the two intervals and M.E. is the margin of error which is the difference between each of the intervals and the sample proportion.

i.e.
[tex]\hat{p}= \frac{76+84}{2} \% \\ \\ = \frac{160}{2} \%=80\%[/tex]

Therefore, the margin of error is 4%.

Final answer:

The margin of error for the survey, given a range between 76% and 84% satisfaction for seat locations, is calculated to be ±4%.

Explanation:

The margin of error in a survey indicates how much the survey results might differ from the actual opinions of the total population.

In this case, the survey indicates a satisfaction range between 76% and 84% for seat locations among season ticket holders.

The margin of error is half of the width of the range, which is the difference between the upper and lower percentage bounds of the confidence interval divided by two.

To calculate the margin of error, subtract the lower percentage (76%) from the upper percentage (84%) and then divide by 2. That is, (84 - 76) / 2 = 8 / 2 = 4.

Thus, the margin of error for the survey is ±4%.

The english alphabet contains 21 consonants and five vowels. how many strings of six letters, each of which is drawn from the english alphabet, contain (a) exactly one vowel?

Answers

Number of strings = [tex]21^5(5)[/tex] = 21 x 21 x 21 x 21 x 21 x 5 = 20 420 505

Answer: 20 420 505

I need help please help me!!

Answers

Find the area of the larger circle and subtract from it the area of the smaller circle. I can't tell what the diameter of the larger circle is.

In a circle, a 225 degrees sector has area 490pi in2. What is the radius of the circle?

Answers

we know that

area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree
r=√[360°*(area of a sector)/(∅*pi)]

area of a sector=(∅/2)*r²--------> when ∅ is in radians
r=√[2*(area of a sector)/∅]

let's calculate the radius of the two ways

1) r=√[360°*(area of a sector)/(∅*pi)]
area of a sector=490*pi in²
∅=225°
r=√[360°*(490*pi)/(225°*pi)]-------> r=√784-----> r=28 in

2) r=√[2*(area of a sector)/∅]
area of a sector=490*pi in²
∅=225°-----> convert to radians-----> ∅=225°*pi/180-----> ∅=1.25*pi
r=√[2*(490*pi)/(1.25*pi)]----> r=√[980/1.25]---> r=√784----> r=28 in

the answer is
the radius is 28 in

Need help to write equations for 5, 6 & 7

Answers

7)
Read my note at the end of problem 5 in another post.
You already know this table represents an exponential function
since each y-coordinate is always the previous y-coordinate multiplied by 6.
That means b = 6, and you have
y = a(6)^x
Now we find "a". When x = 0, y = 5. That means a = 5.
The equation is

y = 5(6)^x

The common stock of air united had annual returns of 13.7 percent, 4.8 percent, -6.7 percent, and 27.9 percent over the last four years, respectively. what is the standard deviation of these returns?

Answers

JDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPE

What is the lateral area of the prism? Assume the figure is resting on its base.

Answers

check the picture below.

the lateral area, namely the area of the sides, as you see in the picture, is really just the area of 6 rectangles.

front and back, two rectangles of 5x25,

left and right, two rectangles of 2x25.

simply get the area of each and sum them up, that's the lateral area of the prism.

[tex]\bf \stackrel{\textit{front and back}}{2(5\cdot 25)}~~~~+~~~~\stackrel{\textit{left and right}}{2(2\cdot 25)}[/tex]

your answer is 250 l*h*w

Last week christi spent 2 3/4 hours playing piano this week she spent 3 2/4 hours playing the piano how much more time did she play the piano this week

Answers

Given that last week christi spent 2 3/4 hours playing piano this week she spent 3 2/4 hours playing the piano, the extra time spent on piano this week will be:
3 2/4-2 3/4
Converting the above into proper fraction we get:
14/4-11/4
=(14-11)/4
=3/4
Thus she spent and extra 3/4 hours=45 minutes this week

It’s 3/4 hours which is 40 mins how I did this was I did that then I finished BOOM DONE KID

BRAINLIESTTT ASAP!

please answer

Answers

When you add the two angles together, they should equal 90 degrees (according to the square marker). So, all you have to do is add the two angles together, make them equal to 90, and solve for x.
2x+8+5x-2=90
7x+6=90
7x=84
x=12

Now, we substitute x and solve for the angles.
2x+8
2(12)+8
32 degrees

5x-2
5(12)-2
58 degrees

To double check our answer, we can add the two angles together and see if we get 90.
32+58=90 yes

Our answer is correct

Brian made 5 free throws at basketball practice. ethan scored 3 more than twice the number of free throws brian made. which equation could be used to find the number of free throws, t, ethan made?

Answers

Lets Brian => b and Ethan => e so
b=5
e=3+2b
will be the equation of finding free throws.

The original vertices of a quadrilateral are (-2,3), (4,6), (4,2), and (3, -2). After a transformation, the new coordinates are (-1,1.5), (2,3),(2,1), and (1.5,-1). Are the two images similar? Justify your answer.
A) no; The transformation is not rigid; therefore, the quadrilaterals are not similar.
B) no; The transformation is a translation which only results in the size of the quadrilaterals being preserved.
C) yes; This is a rigid transformation which preserves angle measurement and size of the original quadrilateral.
D) yes; The transformation is a dilation which results in similar quadrilaterals by preserving angle measurements.

Answers

The answer would be D) yes; The transformation is a dilation which results in similar quadrilaterals by preserving angle measurements.

The answer would be D) yes; The transformation is a dilation that results in similar quadrilaterals by preserving angle measurements.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The original vertices of a quadrilateral are (-2,3), (4,6), (4,2), and (3, -2).

After a transformation, the new coordinates are (-1,1.5), (2,3),(2,1), and (1.5,-1).

As we know that dilation is a process for creating similar figures by changing the size.

This means that the two images are similar, as they have the same shape and size, despite having different positions and orientations in the coordinate plane.

Hence, the given transformation is a dilation that results in similar quadrilaterals by preserving angle measurements.

To learn more about the transformations click here :

https://brainly.com/question/11352944

#SPJ2

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