equation of the circle with center 2,1 and 5,2 a point on the circle

Answers

Answer 1

Answer:

Step-by-step explanation:

The center tells you how to handle the left side of a circle's equation.

(x - 2)^2 + (x - 1)^2 = r^2

The point (5,2) gives you enough information to find r^2

x = 5

y = 2

(5 - 2)^2 + (2 - 1)^2 = r^2

(3)^2 + 1^2 = r^2

9 + 1 = r^2

r^2 = 10

Complete equation

(x - 2)^2 + (y - 1)^2 = 10

Answer 2

Answer: (x-2)^2+(y-1)^2=10

Step-by-step explanation:

r=√(x-h)^2+(y-k)^2

r=√(5-2)^2+(2-1)^2

r=√3^2+1^2

r=√9+1

r=√10

X^2+y^2=r^2

(x-2)^2+(y-1)^2=(√10)^2

(x-2)^2+(y-1)^2=10


Related Questions

Can someone please help me? Homework is due tom

Answers

Answer:

5 7/8

Step-by-step explanation:

12 3/4 = 12 6/8

1 3/8 = 1 3/8

5 1/2 = 5 4/8

1 3/8+5 4/8 = 6 7/8

12 6/8 = 11 14/8

11 14/8-6 7/8 = 5 7/8

Please help me asap!! Will mark as brainliest!!!200 points !!!!!!!! Find the area of the trapezoid given the coordinates: -3,3 -1,-3 1,-2 3,-3

Answers

what are we using ? feet, inches, etc.

Answer:

The answer is 4

Hope this helped

given that (6,-3) is on the graph of f(x), find the corresponding point for the function f(1/3x)

Answers

Answer:

The corresponding point for the function [tex]f(\frac{1}{3}x)[/tex] is

(18, -3)

Step-by-step explanation:

By definition if we have a function f(x) and we apply the transformation:

[tex]y = f (hx)[/tex]

Then:

If [tex]0 <h <1[/tex] the graph is stretched horizontally  by a factor [tex]\frac{1}{h}[/tex]

If [tex]h> 1[/tex] the graph is compressed horizontally by a factor [tex]\frac{1}{h}[/tex]

In this case [tex]h=\frac{1}{3}[/tex]  this is [tex]0 <h <1[/tex] then the graph is stretched horizontally  by a factor [tex]\frac{1}{\frac{1}{3}}=3[/tex]

Therefore the point (6, -3) that belongs to f(x), in the transformed function will be (3*6, -3) This is (18, -3)

Observe the example shown in the attached image

plss help me! will give brainliest

Answers

Answer:

15. Radius

16. CF is parallel to AH , Option C

17. Option A , AB congruent to ST

Step-by-step explanation:

15.  The line joining the center and any point on the circumference of a circle is the radius if the circle. Here Center is O and is being joined by B which lies on circumference hence OB makes a radius.

16. In  a cuboid , all the heights are parallel to each other. Hence CF ║AH ║ BE ║ DG

Hence the right answer is option C

17. If we observe the two quadrilaterals we see that

A overlaps to S , B to T , C to U and D to V

Hence

AB is congruent to ST

Marissa Palmer’s charge account statement showed a previous balance of $142.55, a finance charge of $2.82, new purchases of $86.50, and a payment of $80.00. What is her new balance?

Answers

Answer:

$151.87

Step-by-step explanation:

The new balance includes the previous balance, plus finance/interests charges, plus the new purchases, minus the payment(s).

So,

Previous balance: $142.55

+ Finance charge: $2.82

+ New purchases: $86.50

= Sub-total: $231.87

- Payment: $80.00

= New Balance: $151.87

Final answer:

Marissa Palmer's new balance after considering her previous balance, finance charge, new purchases, and payment is $151.87.

Explanation:

To calculate Marissa Palmer's new balance on her charge account statement, we need to consider several components: the previous balance, finance charge, new purchases, and the payment she made. We start with her previous balance, add any finance charges, add the cost of new purchases, and then subtract any payments. Here's the step-by-step calculation:

Start with the previous balance of $142.55.Add the finance charge of $2.82 to the previous balance, yielding $145.37.Add new purchases of $86.50 to the total, resulting in $231.87.Subtract the payment of $80.00 to find the new balance.

When we do the subtraction ($231.87 - $80.00), we find that her new balance is $151.87.

yo I need this as soon as possible

Answers

Answer:

Step-by-step explanation:

So, if we know that 25 is the area of the square, that means that each side is 5.  That also means the diameter of the circle is 5, so the radius is 2.5.  Now, we can input the radius into the circumference formula for a circle, which is 2πradius.  So, 2π2.5 which equals 5π, or about 15.71

how wide can a 5 m load be to fit under a parabolic underpass that is 7 m wide and 7 m at its highest point

Answers

Answer:

[tex]\boxed{\text{3.74 m}}[/tex]

Step-by-step explanation:

This is equivalent to finding the equation of a parabola from three points.

Let's call the ground-level points (-3.5, 0) and (3.5, 0).

The axis of symmetry will be the y-axis, so the vertex is at (0, 7).

Part 1. Find the equation of the parabola

The vertex form of the equation for a parabola is

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

If the vertex is at (0, 7),  

h = 0 and k = 7

The equation is

y = ax² + 7

Insert the point (0, -3.5)

0 = a(0 + 3.5)² + 7

0 = a(3.5)² + 7

0 = 12.25a + 7

-7 = 12.25a

a = -0.5714

The equation in vertex form is

y = -0.5714x² + 7

Part 2. Calculate the width when y = 5

 5 = -0.5714x² + 7

-2 = -0.5714x²

x² = 2/0.5714

x² = 3.5

x = ±√3.5 = ±1.87  

So, on the graph, the coordinates of the truck at ground level are x = -1.87 and x = +1.87.

The maximum width of the load is 1.87 – (-1.87) =[tex]\boxed{\textbf{3.74 m}}[/tex]

In the diagram below, the red parabola represents the underpass, and the blue box is the truck going through it.

Help please help ,,,,,

Answers

Answer:

18 cm²

Step-by-step explanation:

The area labelled A is a triangle.

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = 9 and h = 4 ( the same height as the rectangle ), thus

A = [tex]\frac{1}{2}[/tex] × 9 × 4 = [tex]\frac{1}{2}[/tex] × 36 = 18 cm²

Anne bought 3 hats for $19.50. which equation could be used to find the cost of each equation?

Answers

Answer:

19.50x 3 or 19.50+19.50+19.50

Step-by-step explanation:

You could either multiply it or divide!

Hope I helped!!

:)

How to simplify 11/3

Answers

3 2/3 the answer because....

11 cant fit into three so, if you divide 11%3 = 3 2/3 now let’s see, how much times can you multiply 3 into 11 only 3 times 3,6 and 9 (things) then the 2/3 is there because, if add 1 more 0.1 you get 12/3 but it’s not it’s 2/3 of the value

Final answer:

11/3 is already in its simplest fractional form as there are no common factors between 11 and 3. However, it can be expressed as a mixed number, which is 3 2/3 in this case.

Explanation:

To simplify 11/3, you must first understand what it means to simplify a fraction. Simplifying a fraction means to reduce it to its simplest form, or to a form that can no longer be reduced. However, 11/3 is a fraction that cannot be simplified any further as there are no common factors between the numerator (11) and the denominator (3). It is in its simplest form. But, if we're looking to express this as a mixed number, we would divide 11 by 3. The result is 3 with a remainder of 2. Hence, 11/3 can be expressed as the mixed number 3 2/3

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If X = 2 centimeters, Y = 4 centimeters, and Z = 7 centimeters, what is the area of the object?

A.
28 square centimeters
B.
56 square centimeters
C.
36 square centimeters
D.
24 square centimeters

Answers

Answer:

56 square centimeters

Step-by-step explanation:

2*4 =8

8*7 =56

The total area is 36 square cm if the X = 2 centimeters, Y = 4 centimeters, and Z = 7 centimeters option (C) is correct.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

X = 2 centimeters, Y = 4 centimeters, and Z = 7 centimeters

Here no other details have been provided, so we are assuming we have two rectangles dimensions for the first is 2×4, and for the second 4×7

Total area = 2×4 + 4×7 = 8+28 = 36 square cm

Thus, the total area is 36 square cm if the X = 2 centimeters, Y = 4 centimeters, and Z = 7 centimeters

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I need to master all skills 8 left a lot of questions coming for math lovers

Answers

2 hours and 33 minutes have passes

(30 points of my grade) Emil would like to estimate the probability of 2 or more heads coming up in 3 coin flips.

To do this, he has a computer randomly select 0 or 1 three times, with 0 representing heads and 1 representing tails. The results of 12 trials are shown in the table.

111 011 000 010 100 111
010 111 111 101 000 111
What is Emil's estimated probability, based on this simulation?

Enter your answer as a fraction, in simplified form, in the box.

Answers

Answer:

Answer is 5/12 :)

About 14 out of 36 or 7 out of 18 because it’s selecting three numbers 12 times and 14 of them are 0s. And 14 out of 36 simplified is 7 out of 18.

I thought of a number. My number doubled is 20 bigger than 200. Find my number.

Answers

Answer:

110

Step-by-step explanation:

200+20=220

220/2=110

Answer:

110?

Step-by-step explanation:

because 110 times 2 is 220. and 220 is 20 bigger than 200.

Please I need help and no dumb answers please and explain please

Answers

a= 3

b=4

c=5

The Pythagorean Theorem.

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9+16=25

25=25

Step-by-step explanation:

what is 22 * 19 + area model​

Answers

Answer:

(20+2)(10+9)

Step-by-step explanation:

The area model is written as (a+b)(c+d). To write a multiplication problem into an area model, split it into numbers which add to it. Multiples of 10 are most commonly used.

For example 22*19 becomes (20+2)(10+9).

David bought a bag of caramel chocolates and chocolate truffles in the ratio of 4 : 6. If the bag holds 24 caramel chocolates, how many chocolates in all did the bag contain?

Answers

Answer:

the number of chocolates in the  bag is 60 in total

Step-by-step explanation:

Answer:

60 chocolates in total

Explanation:

If the ratio of caramel chocolates to chocolate truffles is 4:6 and we know there are 24 caramel chocolates, we can create a proportion.(X is the amount of chocolate truffles)

4/24=6/x

Solve for x.

144=4x

X=36

Now that we know how many of each chocolate there is, we can calculate the total by adding them together.

36+24=60 chocolates in total

Pls help!!

complete the equations so that the solution of the equations is (-3,5)

y=__x-10
3x-__y=-19

Answers

Answer:

y=-5x-10

3x-2y=-19

We can actually see here that the completed equations are:

1. y = -5x - 10

2. 3x - 2y = -19

How we arrived at the solution?

To find the missing values in the equations such that the solution is (-3, 5), we substitute the values of x = -3 and y = 5 into the equations and solve for the missing values.

For the equation y = x - 10:

Substituting x = -3 and y = 5:

5 = -3 - 10

5 = -3__ - 10

5 + 10 = -3__

15 = -3__

__ = -5

Therefore, the missing value is -5. The completed equation is:

y = -5x - 10

For the equation 3x - y = -19:

Substituting x = -3 and y = 5:

3(-3) - 5 = -19

-9 - 5 = -19

-9 + 19 = 5

10 = 5__

__ = 2

Therefore, the missing value is 2. The completed equation is:

3x - 2y = -19

The completed equations are:

y = -5x - 103x - 2y = -19

When x = -3 and y = 5, both equations will have a solution of (-3, 5).

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2х - Зу = 16
5x - Зу = 13

Answers

Answer:

[-1, -6]

Step-by-step explanation:

Since both coefficients next to your y's are identical use the Elimination Method by multiplying one of the equations by -1 to form additive inverses, meaning they result in 0:

-1[{2x - 3y = 16}]↷

{5x - 3y = 13}

{-2x + 3y = -16

{5x - 3y = 13

----------------

3x = -3 [Divide by 3]

x = -1

y = -6 [plug in "-1" back into both equations to confirm their authenticities]

https://youtu.be/zcC7wsn3b2g

Watch the above You-Tube link and subscribe for more information on how to solve a system of equations in two to three variables [USERNAME: MATHEMATICS WIZARD].

I am joyous to assist you anytime.

Find the value of x in the triangle shown below

Answers

Answer:

The answer is A. sq. root of 11

Step-by-step explanation:

Use a2+b2=c2

So, 25+b2=36

b2=11

b=sq root 11

the owner of a video arcade center asked his weekend customers to record their age on a piece of paper and put it in a fishbowl near the cash register. after each day, the owner prepared a box plot to represent the data he collected. what was the the median age of his customers on each day

Answers

The median is the number in the middle of a list of numbers

So the middle number on Saturday is 18, and the middle number on Sunday is 22.       Your answer is D

Answer:

The Medians on this set of data are 18 on Saturday and 22 on Sunday

Step-by-step explanation:

The median on a set of data is the middle number that separates the lower half from the top half in a set. For us to be able to find the median in a set of numbers, the numbers must first always be arranged from least to greatest. Since the set in the picture is already sorted, we can easily see that the medians are the following,

Saturday: 18

Sunday: 22

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

i neyd hlpe
4.8 ÷ 0.6

Answers

Answer:

8

Step-by-step explanation:

4.8/0.6

4.8/(3/5)

4.8 * 5/3 = 8

Answer:

8

Step-by-step explanation:

The answer is 8 because you just divide the two numbers..

What is 4n squared plus n squared?

Answers

Answer:

Step-by-step explanation:

Itś 5n²


2, 6, 18, 54,....

Find the common ratio of the given sequence, and write an exponential function which represents the sequence. Use n = 1, 2, 3, ...
A) 3; f(n) = 2(3)n-1
B)
1
3
; f(x) = 2(3)n-1
C) 3; f(n) = 2(
1
3
)n-1
D)
1
3
; f(n) = 2(
1
3
)n-1

Answers

Answer:

3; [tex]f(n)=2(3)^{n-1}[/tex]

Step-by-step explanation:

The given sequence is

2, 6, 18, 54,....

The first term is [tex]f(1)=2[/tex]

The common ratio is obtained expressing a subsequent term over a previous term.

The common ratio is [tex]r=\frac{6}{2} =3[/tex]

The the nth term of the sequence is given by:

[tex]f(n)=f(1)(r^{n-1})[/tex]

[tex]f(n)=2(3)^{n-1}[/tex]

The exponential function which represents the sequence is

[tex]f(n)=2(3)^{n-1}[/tex]

Answer:

A

Step-by-step explanation:

i got it correct on usatestprep

kendra is doing her math homework. For each problem, she uses 1/2 sheet of paper. how many sheet of paper does she need to complete 10 problem?​

Answers

Answer:

5

Step-by-step explanation:

each problem takes 1/2 so 1 page fits 2 problems and 2 can go into 10 5 times

Answer:

5 sheets of paper

Step-by-step explanation:

if it only took her half a page to do one problem, then she could fit 10 problems on 5 pages since 1/2 of 10 is 5

i hope this helps :)

how many angles measure 70 degrees

Answers

The answer is 3. A, D, and C are vertical angles and match to the angle marked 70 degrees.

Part A
Which of the following is an expression for a in terms of x?
Part B
What is the maximum area, in square feet, for the garden if 44 feet of fencing are used?

I really need help with this question. I am doing Algebra NJSLAM practice and I’m not sure how to do this problem.

Answers

the first choice is correct

The maximum area of the rectangle will be 242 square ft. The expression for a in terms of x will be 44 - 2x. Then the correct option is C.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

If the a, b, and x are 44 ft. Then the expression for a in terms of x will be

We know that b = x

Then we have

a + b + x = 44

   a + 2x = 44

           a = 44 - 2x

Then the area opf the rectangle will be

Area = (44 - 2x)x

Area = 44x - 2x²

For maximum area the value of  x will be 11. Then we have

Area = 44 × 11 - 2 × 11²

Area = 242 square ft

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Find the distance from the origin to the graph of 4x-y+8=0

Answers

Answer:

[tex]x=\frac{1}{4}y-2[/tex]

Step-by-step explanation:

x= 1 over 4y-2

Answer:

B. 1.94

Step-by-step explanation:

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In 15 minutes Frankita created 15 drawings. In 30 minutes she created 17 drawings. In 45 minutes she created 20 drawings. In 60 minutes she created 24 drawings. If Frankita continues making drawings in the same pattern, how many total drawings will Frankita have created at the end of 90 minutes?


A. 19
B. 28
C. 33
D. 35

Answers

Answer:

D. 35

Step-by-step explanation:

the pattern followed by Frankita is:

15 min = 15 drawing

30 min = 17 drawing                  : increase by 2 (15+2 = 17)

45 min = 20 drawing                 : increase by 3 (17+3 = 20)

60 min = 24 drawing                 : increase by 4 (20+4 = 24)

75 min = 29 drawing                 : increase by 5 (24+5 = 29)

90 min = 35 drawing                 : increase by 6 (29+6 = 35)

Use substitution to solve the linear system of equations.

y = x - 2

2x + 4 = y

1. (-6,8)
2. (6,8)
3. (-6,-8)
4 .(6,-8)

Answers

Answer:

3.(-6,-8)

Step-by-step explanation:

y=x-2

2x+4=y

x-2=2x+4

x=2x+6

-x=6

x=-6

y=-6-2

y=-8

Step 1: Wherever you see a y in the equation: 2x + 4 = y insert x - 2

2x + 4 = x - 2

Step 2: Combine like terms

x's go with x's. To do this subtract the x from the right side to both sides

(2x - x) + 4 = (x - x) - 2

x + 4 = 0x - 2

x + 4 = -2

Normal numbers go with normal numbers (4 and -2). Bring the 4 to the right side by subtracting it to both sides

x + (4 - 4) = -2 - 4

x + 0 = -6

x = -6

Step 3: To solve y put -6 where you see an x in the equation: y = 2x + 4

y = 2(-6) + 4

y = -12 + 4

y = -8

(-6,-8)

Hope this helped!

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