A right triangle is shown in the graph. Part A: Use the Pythagorean Theorem to derive the standard equation of the circle with center at (r, s) and a point on the circle at (x, y). Show all necessary math work. (3 points) Part B: If (r, s) = (7, –4) and t = 10, determine the domain and range of the circle. (4 points) Part C: Is the point (9, 1) inside the border of the circle if (r, s) = (7, –4) and t = 10? Explain using mathematical evidence. (3 points)

Answers

Answer 1

Answer:

Part A, write out the equation by subtracting the vertex from x and y, then set it equal to the radius square. All of this information is given in the picture. Then the domain is all the x's and the range is all the y's starting at the center and going out 10 in each direction since 10 is the radius.

Step-by-step explanation:

Use the circle formula that you learned in lesson 3.02 using the given points. Remember this quiz was open note and your formula should be in your notes. Also, it should be familiar to you from Geometry and middle school math where you first learned about circles:)


Related Questions

Given:
∠1 and ∠2 are supplementary angles
Prove:
l || m

Answers

Hello

just a second

people reading this please complete because you will help me a lot.

I am an Indian girl my name is Lamer and am 13 years old.

I Just got this new device after working at a farm for 2 years.

I used to use brainly at my friend device she had money to buy brainly plus.

I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.  

Solve for the value of p.
(6p-2)

(3p-7)|

Answers

Answer:

The sum of angles on a straight line is 180 degrees.

Therefore,

[tex](6p-2)+(3p-7)=180[/tex]

[tex]6p-2+3p-7=180[/tex]

[tex]9p-9=180[/tex]

[tex]9p=189[/tex]

[tex]p=21[/tex]

Decide where the first digit of the quotient should be placed. Do not complete the division. The first digit in the quotient of 1.593 ÷ 64 is in place.

Answers

9514 1404 393

Answer:

  hundredths place

Step-by-step explanation:

When performing long division, the first digit of the quotient appears over the least significant digit of the first portion of the dividend that is greater than or equal to the divisor.

Here, when performing long division we compare ...

  64 vs 1 . . . no quotient digit

  64 vs 15 . . . no quotient digit

  64 vs 159 . . . the first quotient digit appears with the same place value as the 9 in 1.59. That is, the first quotient digit will be 0.02, 2 in the hundredths place.

Answer:

hundreths place

Step-by-step explanation:

Functions
Domain and Range

Answers

1)

Check the 1st picture below.

the arrows at the end of the lines are stating that the lines are continuing indefinetely, or namely to infinity, the lines go to infinity upwardly as well as sideways.

3)

Check the 2nd picture below.

the graph has a hole when x = 6 for the domain, meaning it doesn't include that point, but includes any values before it down to -5 and including -5.

what would the numerical answer be??

Answers

Answer:

Step-by-step explanation:

Aldo earns 51 dollars a week working at the bookstore he makes one dollar more for each book that he sells . the amount , A (in dollars )that Aldo earns a week of he sales b books is given by the following function
A(b)=51+b​

Answers

Answer:

False.

Step-by-step explanation:

A x b does not equal to A + b. Addition and mutiplication is different.

Bentley is deciding between two truck rental companies. Company A charges an initial fee of $50 for the rental plus $2 per mile driven. Company B charges an initial fee of $10 for the rental plus $3 per mile driven. Let A represent the amount Company A would charge if Bentley drives x miles, and let B represent the amount Company B would charge if Bentley drives x miles. Graph each function and determine the interval of miles driven, x for which Company A is cheaper than Company B.
give me to point for example (4.6) and (5,7 ) my graph is y-axis is 200 and x-axis is 100
Company A is cheaper than Company B when x < or> ______
miles
dollars
dollars per mile
mile per dollar

Answers

Answer:

Company A is cheaper than Company B when x > 40  miles

Step-by-step explanation:

Can someone pls help me out with this the best I can do is 50 points

Answers

All of the questions are filled.



Sorry i cannot help you

17. The price of napkins and the number of napkins is listed in the table below.
Number of
Price of
Napkins (1) Napkins (p), in
cents
200
140
300
210
400
280
500
350
600
420
Letp represent the price of the napkins and the number of napkins. Which equation shows the
relationship between the price of napkins and number of napkins?
A.pn=7C.pn=0,7
B.np = + 70 D.pn = +100

Answers

Answer:

The question is very nice.

,Iike it.

HELP!!!!!!!!!!!!!!!!

Answers

Answer:

The answere is D

Step-by-step explanation:

i know this because thats how a grid works and its really simple

A large box contains 12 medium boxes and 18 small boxes. Each small box contains 25 chocolate bars while there are 20 vanilla bars in each medium box. How many chocolate bars are in a large box?

Answers

Answer:

Step-by-step explanation:

The answer is there are 450 chocolate bars in the large box because the small box has 25 chocolate bars and it is 18 small boxes in a large box so you will have the problem of 18 x 25= 450

HELP! Can anyone help me i need help it this question

Answers

Average rate = distance / time

Rewrite distance as an improper fraction":3 1/3 = 10/3

Now you have 10/3 / 1/3

When dividing by a fraction flip the second fraction over and multiply:

10/3 x 3/1 = (10 x 3) / (3/1) = 30/3 = 10

Average rate was 10 miles per hour

Using the information about Carrie's business model, drag each attribute of Carrie's business to its
description
Tiles
type of industry
purpose of the business
target customers
how the business can
Increase profits
Pairs
sell beautiful, low-priced furniture
lower operational costs
retail

Answers

Answer:

sell beautiful, low-priced furniture -> Purpose of bussiness

retail -> type of industry

lower operational costs -> higher profits

target customers -> again profits? can't see the final answer on the picture

Step-by-step explanation:

Hope this helps!

The tile "type of industry" matches with "retail", "purpose of the business" matches with" sell beautiful, low priced furniture", "how the business can increase profits" matches with "lower operational costs".

What is operational cost?

Operational cost is the amount of expenditure done by the company or a firm on its day to day operations or in its manufacturing related activities.

How to identify statements?

First tile says "type of industry". In the options there are two options with which it can match one is "retail" and other one is "sell beautiful,low priced furniture".But the second one is related to cheap pricing which may may be just a segment in an industry, that's why the most important option which matches with it is "retail". Second tile matches with "sell beautiful , low priced furniture" because there is a possibility that the business wants to just working for poor or middle class people. For third tile there is not any option present. Fourth tile matches with "lower operatonal costs" because when the cost of the company reduces it automatically increases the profits of the company.

Learn more about operational costs at https://brainly.com/question/14697297

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What must the value of B be if the following linear system has an infinite number of solutions
Y = -3x + 6
By- 9x + 18 = 0​

Answers

Condition for infinite number of solutions (coincident lines) :-

=》a₁/a₂ = b₁/b₂ = c₁/c₂

Equations :-

1) y = -3x + 6

=》y + 3x - 6 = 0

2) By - 9x + 18 = 0

Here,

a₁ = 1, a₂ = B

b₁ = 3, b₂ = -9

c₁ = -6, c₂ = 18

Now substitute..

a₁/a₂ = b₁/b₂ = c₁/c₂

=》1/B = 3/-9 = -6/18

=》1/B = -3/9 = -6/18

Now,

=》a₁/a₂ = b₁/b₂

=》1/B = -3/9 (cross multiplication)

=》1 × 9 = -3B

=》9 = -3B

=》9/-3 = B

=》-3 = B

OR

=》a₁/a₂ = c₁/c₂

=》1/B = -6/18 (cross multiplication)

=》1 × 18 = -6B

=》 18 = -6B

=》18/-6 = B

=》-3 = B

The value of B if the following linear system has an infinite number of solutions is -3.

_______

RainbowSalt2222 ☔

Find The nth Term of this number sequence
18, 16, 14, 12

Answers

☆Answer :

a = 18

d = 16 - 18 = - 2

an = a + (n - 1) × d

an = 18 + (n - 1) × (-2)

an = 18 - 2n + 2

an = -2n + 20

Evaluate the expression 61​

Answers

Answer:

61 + 8 is 69 and that is a funny number

Answer: if i get this correct mark me the brainlist promise

Step-by-step explanation:6+x=12To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

Example

Calculate the following expression for x=3 and z=2

6z+4x=?

Solution: Replace x with 3 and z with 2 to evaluate the expression.

6z+4x=?

6⋅2+4⋅3=?

12+12=24

Which equation represents the data in the table shown?
A) y = -2x
B) y = 2x + 3
C) y = -2x + 3
D) y = -2x - 3

Answers

Answer:

C

Step-by-step explanation:

the y-axis is getting smaller by 2 so its -2 and the x-axis is getting bigger by 1 so its -2 times 1 which is -2 but then 0=3 so the equation would be y = -2 + 3 :)

Cliff earns $15 for each hour that he works as a television sales person plus an additional $10 for each television that he sells which of the following represents the amount cliff earns , in dollars, if he sells n television and works h hours ?

Answers

Answer:

15h+10n

Step-by-step explanation:

You forgot to list the equations.

10 * n = 10n = $ paid for amount of televisions sold

15 * h = 15h = $ paid for hours worked

15h + 10n = Total amount paid

The answer for n television sold and h hours working is 15h  +10n.

Expression:

An expression is an algebraic or mathematical statement in which some variable and constant are arranges with any algebraic operations

Given that

Cliff earned for one hour = $15

Therefore for h hours = 15h

Also he earned additional for each television sold = $10

Therefore for n television sold = 10n

How to add the algebraic terms?

Here 15h and 10n are two algebraic numbers because there is constants 15 and 10 and variables h and n are multiplied simultaneously.

Therefore the total earning is the addition of both

15h + 10n

The final answer is 15h + 10n

Learn more about expression here-

https://brainly.com/question/4344214

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In circle D, which is tangent to the circle?

Line G H
Line segment A B
CD
EF

Answers

Answer:

line segment A B

Step-by-step explanation:

it's really a ray, not a line segment

In circle D, the AB line segment is tangent to the circle.

What are the properties of the circle?

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Since A line that only has one point where it crosses a circle is said to be tangent to the circle. The point of contact is the location where the circle and the tangent meet.

Thus, in the given figure AB is the tangent line segment of the circle D.

From the properties of the circle, we can state that,

FE is Diameter,

The CD is representing the radius, and

GH is representing the Secant line of the circle D.

Therefore, In circle D, the AB line segment is tangent to the circle.

Learn more about Circle here:

https://brainly.com/question/11833983

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Which point would not be on the graph of the function y=+5?​

Answers

Answer:

Any point that does NOT have a positive 5 in the y position

An arrow is shot vertically upward from a platform 45 feet high at a rate of
132 ft/sec. Use the quadratic function h(t)=−16t2+132t+45 to find how long it will take the arrow to reach its maximum height, and then find the maximum height. Round to the nearest tenth.

Answers

Answer:

486 feet will reached after 5.25 seconds, when rounded to nearest tenth would be 5.3

Step-by-step explanation:

Evaluate the expression for y=1.4, y=5, y=6.4
y ÷ 4
the expression y ÷ 4 is equal to ____ for y = 1.4.

Answers

Answer:

I think it is y=5...........

epic gamer question, i'll mark brainlist​

Answers

Answer:

64 gametos 5354vf,ffekbvgvbvh

Write an equation for a rational function with:
Vertical asymptotes at x = -5 and x = 3
x-intercepts at x = -4 and x = -3
y-intercept at 3

Answers

Answer:

B

Step-by-step explanation:

solve this equation:

1.25x+5.00 greater than or equal to 20.00

Answers

x is greater than it equal to 12

which one of the congruency statements are true?

Answers

Answer:

line segment BC=line segment XY

Step-by-step explanation:

The last choice :)

At an airport, it costs $7 to park for up to one hour and $5 per hour for each additional hour. Let x
represent the number of hours parked. Write the function that models the cost, C(x), of parking x
hours, where x is an integer greater than 1. A:c(x)

Answers

Answer:

C(X)=5(x-1)+7  

Step-by-step explanation:

because x-1 represents the fact that the first hour costs $7 and then x times 5 represents the fact that each hour after that costs $5

Which expression is equivalent to this polynomial expression?
(5ry2 + 3x2 – 7) + (3.272 – 142 + 3y2 + 4)

Answers

Answer:

Step-by-step explanation:

the answer  is . (5xy² + 3x² - 7) + (3x²y² - xy² + 3y² + 4). hope this helps

geometry homework help

Answers

Answer:

To make things easier if you were to find the angle of any exterior angle on a triangle, you can always add up the two remote interior angles in order to get the exterior angle on a triangle. So in this case 76 and 52 added up is 128

m<1= 128

For the first one (i think)

Well the triangles do give away the fact that 66 and 84 are in one of the shape. We know a triangle has 3 angle measures and if added up it would equal to 180.

66+84+x=180

You’d get x=30

Now we have 30 as angle 1.

angle 3 and 84 degrees are supplementary so we can just do

84+y=180 which in this case is 96 so angle 3 is 96

Now we need to find 2, we know that 3 is 96 and we have a 43 degrees already given. It’s a triangle so same thing

96+43+n=180

in this case n is angle 2 and the measure of angle 2 is 41 degrees.

Final answers:

m<1=30

m<2= 41

m<3= 96

Answer:

Step-by-step explanation:

Question 2

1 = 76+52=128

=180-128

=5266+84 = 150     180-150

     =30

    2.    96+43=139    180-139=

    =41

     3.180-84

    =96

Father came home from work and saw 3/4 of a pizza in the kitchen. He ate 1/3 of what was left of the pizza. What fraction of the original pizza was left?

Answers

Answer:

3/4 means 0.75 of apizza was in the kitchen and the father ate 1/3 of the 3/4 which means 0.75÷3=0.25 the question is what fraction of pizza that was left so 0.75-0.25= 0.5 or 1/2 of apizza is left.

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