1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna11 [10]
2 years ago
15

Write the equation in standard form for the circle with center (-5,8) and radius 4

Mathematics
2 answers:
Anon25 [30]2 years ago
8 0

Answer:

(x+5)^2+(y-8)^2=4^2

Step-by-step explanation:

I used a website called desmos.

Scilla [17]2 years ago
8 0

Answer:

(x + 5)² + (y - 8)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 5, 8 ) and r = 4 , then

(x - (- 5) )² + (y - 8)² = 4² , that is

(x + 5)² + (y - 8)² = 16

You might be interested in
Paige traveled to Australia and is making her favorite bread recipe. She usually bakes the bread in a 350F oven. She is surprise
nignag [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing e
Mars2501 [29]

Answer:

1.  The lawyer has 34 investors that contribute with $3,000 and has 26 investors that contribute with $6,000.

2. The jar has 26 nickels and 44 dimes that worth $5.70.

3. The concession stand has sold 1600 sodas and 1400 hotdogs

Step-by-step explanation:

For all the problems we are going to follow the same process that will consist on 1. Define the variables. 2. Formulate the system of two linear equations 3. Solve by the elimination method 4. Give the answer.

  • First problem.

- Variables:

x = number of investors that contribute with $3,000

y = number of investors that contribute with $6,000

- System of equations.

First equation will be the result of adding the number of investors that will give us a total of 60 investors then:

x + y = 60

Second equation is the result of multypling the number of investors by its invest and adding between them to get the $258,000 they have raised:

3,000x + 6,000y = 258,000

The system will be:

x + y = 60

3,000x + 6,000y = 258,000

- Solve by the elimination method.

To cancel x we are going to multiply by -3000 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

3,000x + 6,000y = 258,000

(x + y ) (-3,000) = 60 (-3,000) <em>   solve the multiplications </em>

3,000x + 6,000y = 258,000

<u>-3,000x - 3,000y = -180,000 </u><em>   solve the operations</em>

0 + 3,000y = 78,000     <em>clear y</em>

y = \frac{78,000}{3,000}    <em>solve the division</em>

y = 26

For calculate x, replace the y value in the first equation and solve it

x + 26 = 60

x = 60 - 26

x = 34

- Answer

The lawyer has 34 investors that contribute with $3,000 and has 26 investors that contribute with $6,000.

  • Second problem

- Variables:

x = number of nickels

y = number of dimes

- System of equations.

First equation will be the result of adding the number of nickels and dimes that will give us a total of 70 coins in the jar then:

x + y = 70

Second equation is the result of multypling the number of coins by its value and adding between them to get the $5.70 that the jar worth:

0.05x + 0.1 y = 5.70

The system will be:

x + y = 70

0.05x + 0.1 y = 5.70

- Solve by the elimination method.

To cancel x we are going to multiply by -0.05 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

0.05x + 0.1 y = 5.70

(x + y ) (-0.05) = 70 (-0.05) <em>   solve the multiplications </em>

0.05x + 0.1 y = 5.70

<u>-0.05x - 0.05y = -3.50 </u><em>   solve the operations</em>

0 + 0.05y = 2.20     <em>clear y</em>

y = \frac{2.20}{0.05}    <em>solve the division</em>

y = 44

For calculate x, replace the y value in the first equation and solve it

x + 44 = 70

x = 70 - 44

x = 26

- Answer

The jar has 26 nickels and 44 dimes that worth $5.70.

  • Third problem.

- Variables:

x = number of sodas sold by $2

y =  number of hotdogs sold by $3

- System of equations.

First equation will be the result of adding the number of sodas and hotdogs that is of 3000 then:

x + y = 3000

Second equation is the result of multypling the number of sodas and hotdogs by its price and adding between them to get the $7400 of the receipts:

2x + 3y = 7400

The system will be:

x + y = 3000

2x + 3y = 7400

- Solve by the elimination method.

To cancel x we are going to multiply by -2 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

2x + 3y = 7400

(x + y ) (-2) = 3000 (-2) <em>   solve the multiplications </em>

2x + 3y = 7400

<u>-2x - 2y = -6000 </u><em>   solve the operations</em>

0 + 1y = 1400     <em>clear y</em>

y = \frac{1400}{1}    <em>solve the division</em>

y = 1400

For calculate x, replace the y value in the first equation and solve it

x + 1400 = 3000

x = 3000 - 1400

x = 1600

- Answer

The concession stand has sold 1600 sodas and 1400 hotdogs

6 0
3 years ago
What is a fraction strips
MrRa [10]

Fraction strips are rectangular pieces (electronic or copied on paper strips) to represent different parts of the same whole. They can be cut apart and manipulated to see how various parts can be added together to make the whole or compare different fractional amounts for equivalency

6 0
3 years ago
Read 2 more answers
The sum of three numbers is 102. The first number is 6 more than the second. The third number is 4 times the second. What are th
const2013 [10]

Answer:

1st number: 22

2nd number: 16

3rd number: 64

Step-by-step explanation:

x + y + z = 102

x = 6 + y

z = 4y

plug that in!

(6 + y) + y + (4y) = 102

get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.

6 + 6y = 102

move 6 to the other side.

6y = 96

y = 16

now that you know one number, you can solve the equations for the rest!

x = 6 + (16)

z = 4(16)

__________________________________________________________

x = 22

y = 16

z = 64

6 0
2 years ago
Help ! Compare these two functions. Which has the greater rate of change?
ololo11 [35]

Answer:

We know this is a tough job. What we want is so intimate that no one can write it for you.

You must write it yourself, in the language most natural to you. We ask you to write in

your own words and then record in your own voice. You may even find that it takes a

request like this for you to reveal some of your own beliefs to yourself. If you set them

down they may become of untold meaning to others.

We would like you to tell not only what you believe, but how you reached your beliefs,

and if they have grown, what made them grow. This necessarily must be highly personal.

That is what we anticipate and want.

It may help you in formulating your credo if we tell you also what we do not want. We do

not want a sermon, religious or lay; we do not want editorializing or sectarianism or

'finger-pointing.' We do not even want your views on the American way of life, or

democracy or free enterprise. These are important but for another occasion. We want to

know what you live by. And we want it in terms of 'I,' not the editorial 'We.'

Although this program is designed to express beliefs, it is not a religious program and is

not concerned with any religious form whatever. Most of our guests express belief in a

Supreme Being, and set forth the importance to them of that belief. However, that is your

decision, since it is your belief which we solicit.

But we do ask you to confine yourself to affirmatives: This means refraining from saying

what you do not believe. Your beliefs may well have grown in clarity to you by a process

of elimination and rejection, but for our part, we must avoid negative statements lest we

become a medium for the criticism of beliefs, which is the very opposite of our purpose.

We are sure the statement we ask from you can have wide and lasting influence. Never

has the need for personal philosophies of this kind been so urgent. Your belief, simply

and sincerely spoken, is sure to stimulate and help those who hear it. We are confident it

will enrich them. May we have your contribution?

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Elena has $15.25. She was given $2.75. Then she spent $12.99 on a gift for her mother. How much money does Elena have left?
    8·2 answers
  • Solve the system of equations.
    14·1 answer
  • WHAT IS THE TERM USED WHEN 2 OBJECTS EXERT FORCES ON EACH OTHER? (PLEASE HELP, SUPER URGENT!!!!!)
    8·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1" title=" \fra
    7·2 answers
  • (I'll be giving brainliest and extra points to who ever helps me!!)
    7·2 answers
  • PLEASE HELP 25 POINTS
    10·1 answer
  • Find the measure of 44.<br> 131<br> 49<br> 49<br> 64<br> [?]<br> Enter
    12·1 answer
  • 8x + y 17<br> 4x + 3y - 31
    14·2 answers
  • The following triangles are congruent by SAS. How did we know that
    6·1 answer
  • Let U​ = ​{​1,4​,6​, 7​, 8​, 10​, 11​, 14​, 17​}. Determine the complement of the set {1, 4, 6, 7, 8, 10, 14, 17}.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!