MATHEMATICS HIGH SCHOOL

Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?(x – 9)2 + (y + 4)2 = 25
(x + 4)2 + (y – 9)2 = 25
(x – 9)2 + (y + 4)2 = 100
(x + 4)2 + (y – 9)2 = 100

Answers

Answer 1
Answer:

The equation for this circle is given as

(x+4)^2 + (y-9)^2 = 25

Data

  • h = -4
  • k = 9
  • r = diameter/2 = 10/2 = 5

Equation of Circle

The equation of circle is given by

(x-h)^2 + (y-k)^2 = r^2

Let's substitute our values and get our equation

(x--4)^2 + (y-9)^2 = 5^2\n(x+4)^2 + (y-9)^2 = 25

we substituted the values of h and k and made sure it's in the standard form of equation of a circle.

The equation for this circle is given as

(x+4)^2 + (y-9)^2 = 25

This looks exactly like

(x-h)^2 + (y-k)^2 = r^2

Learn more on equation of a circle here;

brainly.com/question/15214797
Answer 2
Answer:

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

(x - h)^(2) + (y - k)^(2) = r^(2)     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

Related Questions

P(A)=0.4 and P(B)=0.6. What is the probability of observing event B three times in a row? Question 10 options:0.2400.3600.0640.216
What number is 27% of 52
A car is traveling at a rate of 93 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round yanswers.
Match the number on the net with the appropriate vertex on the prism.
Las fracciones que tienen denominador 10, 100, 1000, etc las llamamos fracciones decimales y a su vez las podemos escribir como nummeros decimales 1) encierro las fracciones decimales con color 21/10; 43/8 ;31/12 ;439/100 ;34/10 ;84/7 , 35/1000 ;28/15 ;851/1000

A cylindrical swimming pool has a diameter of 18 feet and a height of 4 feet. About how many liters of water are needed to fill the swimming pool 85% of its total volume? Round your answer to the nearest whole number. (1 ft³ ≈ 28.3 L) To the nearest whole number of liters.

Answers

Final answer:

To fill a cylindrical swimming pool with a diameter of 18 feet and a height of 4 feet 85% full, you'll need approximately 24462 liters of water.

Explanation:

To determine how many liters of water are needed to fill the swimming pool to 85% of its total volume, we first need to calculate the total volume of the cylindrical pool. The formula to calculate the volume of a cylinder is V=πr²h were r is the radius (half of the diameter) and h is the height. Therefore, the pool's total volume in cubic feet is V=π*9²*4 ≈ 1018 ft³. However, the student only wants to fill the swimming pool up to 85%, so we multiply this total volume by 0.85 to get approximately 865 ft³.

Since 1 ft³ ≈ 28.3 L, we can calculate the needed volume in liters by multiplying the 865 ft³ by 28.3 to obtain approximately 24462 liters of water. Round to the nearest whole number, so about 24462 liters of water are needed to fill the swimming pool es up to 85% of its volume.

Learn more about Cylindrical Volume Calculation

#SPJ12

A company is offering a job with a salary of $30,000 for the first year and a 2.3% raise year year after that. I know the sequence is geometric, I know the recursion equation, and I know the formula function. What I need help with is if that 2.3% raise continues every year, how much money would you earn in a 40 year career

Answers

30,000×(1+0.023)^(40)
=74,498.34

The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck.Identify the independent and dependent variables.

Answers

So you should know that an independent variable is a variable that is not changed by other variables but a dependent variable does change by other variables.
So in this question, c is a dependent variable and m is an independent variable :))))
I hope this is helpful
have a nice day

Answer:

Miles Traveled is independent.

Cost is the dependent.

Step-by-step explanation:

The gross income of David Vaughn is $785 per week. His deductions are $42.25, FICA tax; $90.33, income tax; 2% state tax; 1% city tax; and 3% retirement fund. What is his net income for one week?

Answers

785 dollars = gross income per week
Minus the following 
=> 42.45 dollars fica tax
=> 90.33 dollars = income tax
=> 2% state tax which is equals to 15.7 dollars
=> 1% city tax which is equals to = 7.85 dollars
=> 3% retirement fund equals to = 23.55 dollars
Total = 179.88 dollars
=> 785 dollars - 179.88 = 605.12 is his weekly net income.

A merchant buys an old carpet for $25.00. He spends $15.00 to have it restored to goodcondition and then sells the rug for $50.00. What is the percent profit on his total
investment?

Answers

The percent profit on his total 20%.

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

  • Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
  • Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Cost of old carpet =$25

He spends $15.00 to have it restored

So, he spend= 25+ 15 = 40

He sells it at = $50

Profit= 50-40 = 10

Profit %= P/ CP * 100

Profit % = 10/ 25 * 100

Profit %=  25% on CP

and, P% on selling price= 10/50* 100 = 20%

Learn more about profit percent here:

brainly.com/question/14411361

#SPJ5
$25-how much it cost
+$15- restored
Total of $35 spend
$50 earned
- 35 what he spend
Total of 15$
To get the percent u divide 35 by 50=0.7 x100
The profit is 70%

I need help with my Math problems as I don't really understand it...

Answers

Answer: PAGE B ONLY

1: Multiply by 2 every time.

2. Take Away 3, then add 6 every time.

3. Multiply by 3 every time.

4. Multiply by 2 every time.

6. Multiply by 3 every time.

Step-by-step explanation:

You will get pretty big numbers that I can't calculate, so use a calculator with the rules I gave for you on each problem.

Good luck!
Other Questions
Evaluate 4d + 9e – 14 for d =7 and e = 3.The value of the expression isPlzzz help
Jalen gets 3 paid vacation days for every 60 days he works. Select all of the expressions that represent the number of vacation days gets per x days worked. (A) x/20 (B) 3/60x (C) x/3 (D) 0.05x (E) 20x
Use the unit circle to find cos (-270°)
clara has £7. she buys some chocolate bars at 63p each and has 7p left over. how many chocolate bars did she buy?