What are the center and the radius of a circle with the equation (x + 5)² + (y - 4)² = 81

Answers

Answer 1

Step-by-step explanation:

We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.

Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.


Related Questions

mia draws a cone with a height of 9 inchess and a radius of 4 inches

Answers

The volume of the cone that was drawn by Mia is equal to 150.816 cubic inches.

How to calculate the volume of a cone.

Mathematically, the volume of a cone is given by this formula:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

Where:

h is the height.r is the radius.

Given the following data:

Radius of cone = 4 inches.

Height of cone = 9 inches.

Substituting the given parameters into the formula, we have;

Volume = 1/3 × 3.142 × 4² × 9

Volume = 3.142 × 16 × 3

Volume = 150.816 in³

Read more on radius here: brainly.com/question/21367171

What is the value of x in the equation −5 + x = −2?

Answers

[tex]-5+x = -2\\\\\implies x = -2 +5 = 3[/tex]

Answer:

x=3

Step-by-step explanation:

−5 + x = −2

Add 5 to each side

−5+5 + x = −2+5

x = 3

A system of equations is shown
Y=2x-5
Y=4x + 3

What is the solution to the system of equations?

A (-4,-13)

B(-4,3)

C (4,-13)

D (4,3)

Answers

Answer:

A. (-4,-13)

Step-by-step explanation:

y = 2x - 5

y = 4x + 3

-2(y = 2x - 5) ==> -2y = -4x + 10

y = 4x + 3     ==>     y = 4x + 3

-2y = -4x + 10

y = 4x + 3

___________

-y = 13

/-1    /-1

y = -13

Now we find x, by substituting -13 for y

y = 2x - 5

-13 = 2x - 5

+ 5        +5

-8 = 2x

/2    /2

-4 = x

(x, y) ==> (-4, -13)

Check your answer:

y = 2x - 5

-13 = 2(-4) - 5

-13 = -8 -5

-13 = -13

This statement is correct

Hope this helps!

Solve for the value of n

Answers

Answer:

8

Step-by-step explanation:

Vertical angles are congruent, so 9n=8n+8. It follows that n=8.

The enrollment at Allenton High School is expected to decrease by 5% each year.
There are currently 720 students at the high school. The following function can be used to approximate the
number of students who will be enrolled at Allenton High School in tyears from now.
ald) = 720(1 – 0.05)
A. In how many years will the high school have approximately 450 students?
Round your solution to the nearest hundredth of a year. Show your work.

Answers

Answer:

around 8 or 9 years

Step-by-step explanation:

Answer number 9 please. Thank you.

Answers

The above attachment is the answer. Hope it helps?

I got 110 inches by doing 2*22/7*17.5 17.5 is the radius if the diameter therefore my answer makes sense after all calculations.

Caleb invested $1400 in an account that pays 4% interest compounded annually.
Assuming no deposits or withdrawals are made, find how much money Caleb would
have in the account 7 years after his initial investment. Round to the nearest tenth (if
necessary

Answers

Answer:

$1842.30

Step-by-step explanation:

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 1,400.00(1 + 0.04/1)^(1)^(7)

A = 1,400.00(1 + 0.04)^(7)

A = $1,842.30



. Using the pattern above, what is the
sales tax and total cost of a shirt that is
$9.10? Round to the nearest cent

Answers

Answer:

$10.10

Step-by-step explanation:

Answer:

$10.10

Step-by-step explanation:

please rate and mark as brainlest.

Which number is irrational?


8√

0.8¯

0.46

100√3

Answers

Answer:

I think √8

Step-by-step explanation:

an integer to the power of 2

Given the figure below, find the values of x and z

Answers

Answer:

z = 60 and x = 4.25 or 17/4

Step-by-step explanation:

Z = 60°

8x + 86 = 180-60

8x + 86 = 120

8x = 120 - 86

8x = 34

x = 4.25 or 17/4

Write your answers using set notation.

Answers

Answer:

  domain = {-8, -6, 8}

  range = {-4, -1, 0, 8}

Step-by-step explanation:

The domain is the set of first numbers of the ordered pairs. The range is the set of second numbers. We generally like to have the elements of a set arranged in order, with duplicates eliminated.

  domain = {-8, -6, 8}

  range = {-4, -1, 0, 8}

Solve the system by substitution.

y= 4x + 22
y= -7x

(__,__)

Answers

Answer:

y=14, and x=-2(-2,14)

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

y=4x+22 and y=-7x

y=-7x=4x+22

Solve.

-7x=4x+22

x=2

Substitute.

y=-7x, x=-2

y=-7(-2)

Solve.

Multiply.

y=14

(-2,14)

Therefore, the final answer is (-2,14).

I hope this helps you! Let me know if my answer is wrong or not.

Please Help I Don't Understand. Thank You!

Answers

Answer:

140

Step-by-step explanation:

5t + 10 = 4t + 22

t + 10 = 22

t = 12

5(12) + 10 = 70

4(12)+ 22 = 70

70 + 70 = 140

CP + PK = CK

Edit:

I'm not sure if the solution is correct , but there is at least something.

CP=PK5t+10=4t+22t=12

Now

CK

CP+PK5t+10+4t+229t+329(12)+32108+32140

malamud and mohammed bought the same eight CD's but mohammed bought used CD's so each was half the price malamud paid. if the mean price malamud paid in $16 and the median is $16.50 , what are the mean and median prices for mohammed's CD's?

Answers

Answer: $8 , $8.25

Step-by-step explanation: It says “ half the price ” so half of 16 is ( 8 ) and half of 16.50 is ( 8.25 )

The company warehouse contains 100 pallets of office paper, 25 pallets of photo paper, and 50 pallets of card stock. Each pallet of office paper is valued at $96, each pallet of photo paper is valued at $180, and each pallet of card stock is valued at $110.

Your partner is calculating the inventory value of these papers but thinks there is an error. Where in the calculations below is the error?

Step Description Result
1 Multiply 100 by $96 $ 9,600
2 Multiply 25 by $180 $ 4,500
3 Add $13,100
4 Multiply 50 by $110 $ 5,500
5 Add $18,600
A. Step 1
B. Step 2
C. Step 3
D. Step 4
E. Step 5

Answers

Answer:

c.

Step-by-step explanation:

Miranda thought her new jeans would cost $32. The price was actually $36. What was percent error?
A - 87.5%
B - 11.1%
C - 12.5%
D - 88.9%

Answers

Answer:

the answer; 32÷36×100 will give the answer (d) -88.9%

HELP - 100 POINTS AND BRAINLIEST
An equation is shown below:

5x + 3(x – 5) = 6x + 2x – 15

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

A.

5x + 3(x – 5) = 6x + 2x – 15

5x + 3(x) + 3(–5) = 6x + 2x – 15

5x + 3x – 15 = 8x – 15

8x – 15 = 8x – 15

This equation has infinitely many solutions.

Why? because they have the same terms on both sides of the equation, everything is the same.

B.

One property that was used to solve this equation is the distributive property 3(x – 5).

Hope this helps!

Part A:Infinitely many solutions
Part B:Distributive property

An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit.

21.2 + w less-than-or-equal-to 30

How much weight can Lorrie add to the carry-on without going over the 30-pound limit?

Answers

Answer: No more than 8.8 pounds.

Step-by-step explanation: Let x be the weight that Lorrie can add to carry-on.

We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is:

Let us solve for x by subtracting 21.2 from both sides of our inequality.

We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds.

If the area of a parallelogram is 5 ⅖ ft. height of the parallelogram is 2 ⅖ ft, what is the base of the parallelogram

Answers

Answer:

3 2/5

Step-by-step explanation:

.

1) the height is 11 ft
2) base is 9 in and the height is 3 in
I just need to know the area ​

Answers

1. All 4 sides are the same length

Area = 11 x 11 = 121 square ft.


2. area = 9 x 3 = 27 square in.

A recycling bin is in the shape of a right rectangular prism. The bin is 9 meters long, 5 meters wide, and 313 meters tall.

What is the volume of the recycling bin?

Answers

Answer: 14085 m^3.

Step-by-step explanation: To find the volume of a right rectangular prism, you need to multiply the length, width, and height.  The equation is below:

l x w x h = V where l is the length, w is the width, h is the height, and V is the volume of the right rectangular prism.

The length of this recycling bin is 9 meters, the width is 5 meters, and the height is 313 meters.  Now that we know the length, width, and height, we can substitute the variables with the information we've gathered.

9 x 5 x 313 = 14085.

Therefore, 14085 m^3 is your answer.

Have a great day! :)

This figure represents the base of an aquarium that is 9 inches high.

What is the volume of the aquarium?


558 in³

612 in³

702 in³

810 in³

Answers

Answer:

Step-by-step explanation:

Answer:

558 in³ for K12

find the surface area
10in

Answers

Answer:

Area of a triangle

[tex] \frac{bh}{2} \\ 10 \times 10 = 100 \\ 100 \div 2 = 50 \\ the \: triangles \: have \: the \: same \: area \: and \: there \: are \: 4 \: triangles \: so \\ 4(50) = 200 \\ now \: we \: find \: the \: are \: of \: the \: rectangular\: base \: \\ area = bh \\ b = 10 \\ h = 10 \\ 10(10) = 100 \\ no w \: we \: add \: the \: area \: of \: the \: triangles \: and \: the \: square \\ 200 + 100 = 300 \: {in}^{2} [/tex]

Find the value of the following:

a) 25 - 7.36

b) 8.65 + 4.23 - 3.5

Answers

Answer:

a 25-7.36

=17.64

b 8.65+4.23-3.5

=12.88-3.5

=9.38

Answer:

a) 17.64

b) 9.38

Step-by-step explanation:

a) 25 - 7.36 = 25 - 7 - 0.36 = 18 - 0.36 = 17.64

b) 8.65 + 4.23 - 3.5 = 8.65 - 3.5 + 4.23 = 5.15 + 4.23 = 9.38

Hope this helps :)

Have a nice day!

Helppp meee please this one confuses me

Answers

Step-by-step explanation:

=[tex] =(3x + 2)(x + 1) \\ = 3x(x + 1) + 2(x + 1) \\ = {3x}^{2} + 3x + 2x + 2 \\ = {3x}^{2} + 5x + 2[/tex]

Answer:

Bro really?? Anyway it's

[tex]anyway \: its \: 3x { }^{2} + 3x + 2x + 2[/tex]

Dont undersrand this at allll...

Answers

Answer:

2.3 2 1/3

Step-by-step explanation: you add up all the bikes then divide them by 3 because that's the number of people

2.3 is your answer, you have to do the equation

Solve these pair of simultaneous equations.In each case the first step is to subtract the two equations.Give both solutions;x and y.
x-6y=32
x-4y =24



2x-3y =2
2x + 4y = 44
Please work it out ​

Answers

X-6y=32 Eqn(1)
X-4y=24. Eqn(2)

From eqn(1)
X=32+6y. Eqn(3)
Put Eqn 3 to Eqn 2
(32+6y)-4y=24
32+6y-4y=24
32+2y=24
2y=24-32
Y=-8/2
Y =-4

Put y into Eqn 3
X=32+6y
X=32+6(-4)
X=32-24
X=8

Daniel has read 70% of a book. He has 24 more pages to finish. How many pages are there in the book?

Answers

Answer:

80

Step-by-step explanation:

if he's read 70% then the 24 pages that are left are equal to 30 percent.

so the answer is 80. if you need extra steps don't hesitate to ask.

line c has a slope of -9/2. line d is parallel to like c. what is the slope of line d?

Answers

Answer:

-9/2

Step-by-step explanation:

parallel lines have the same slope/gradient

Which choice is equivalent to the fraction below?
5
6

a. 5-6
b. 5•6
c. 6 divided by 5
d. 5 divided by 6

Answers

Answer:

\ is the same as ÷

=d) 5 divided by 6

D. 5 divided by 6

A fraction line is also and other way to write a division sign
Hope this helps
Please mark as brainliest
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