MATHEMATICS HIGH SCHOOL

Find the equation of the circle passing through the origin and with the center (3,5)The answer should be written in the form (x-h) squared + (y-h)squared = radius squared
Thanks!!

Answers

Answer 1
Answer: Equation\ of\ circle\n\n\ r^2=(x-a)^2+(y-b)^2\n\n a,b- \ coordinates\ of\ center\ of\ circle\n\n\ (a,b)=(3,5)\n\n r^2=(x-3)^2+(y-5)^2\n\n\ Substituting\ point\ (0,0)-origin\n\n r^2=(0-3)^2+(0-5)^2\n\n r^2=(-3)^2+(-5)^2\n\n r^2=9+25=36\n r=6\n\n Answer:\ \ 36=(x-3)^2+(y-5)^2

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The price of gravel is $24 for every 3/8 ton. kate wants to know the price of 2 tons of gravel

Answers

The price of 2 tons of gravel is $128.

Given:

The price of gravel is $24 for every (3)/(8) ton.  

To find:

The price of 2 tons of gravel.

Explanation:

Let x be the price of 1 ton of gravel.

Then the price of (3)/(8) ton is (3)/(8)x and the price of 2 tons of gravel is 2x.

It is given that the price of gravel is $24 for every (3)/(8) ton.  

(3)/(8)x=24

x=(8)/(3)* 24

x=8* 8

x=64

Now, the price of 2 tons of gravel is:

2x=2(64)

2x=128

Therefore, the price of 2 tons of gravel is $128.

Learn more:

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Answer:

$128

Step-by-step explanation:

your looking for 16/8, divide 16 by 3, leaving you with 5.333...

now times that by $24, and you have your answer hope this helps

How to factor a quadratic equation y=-2x^2+8x-6

Answers

first factor out that -2
y=-2(x^2-4x+3)
what 2 number muitply to 3 and add to -4
-1 and -3
y=-2(x-3)(x-1)

If a man take one and a half mins to paint a door how much doors can he paint in seven half hour

Answers

Answer:

300 doors.

Step-by-step explanation:

1.5 minutes for 1 door.

7.5 hours for 300 doors.

7.5 hours = 450 minutes.

(450)/(1.5)=300

(8x^2-32)/(8x+16)

What is the quotient after canceling common factors and simplifying?

Answers

When you simplify the following equation (8x^2-32)/(8x+16)

The answer is: x-2

In the equation 12a+5, identify the coefficient.

Answers

A coefficient is a number that has a variable with it. A variable is a letter that represents an unknown value. A constant is a number that will always be that number(without variable).HOPE THIS HELPED!!!!
The coefficient in this expression is 12.~~~

     Why?

    Because it is technically the number in front of the variable.

George bought a Christmas tree to put in his living room.He paid$50 for his tree. After he took it home, he realized it was too tall and sold it to his neighbor for $60.his neighbor put the lights on the tree and then decided the tree was to wide. George looked at the tree again and offered to buy the tree back for $70. He was no longer pleased with the tree so he sold it for$80. What was George 's financial outcome on hie venture?

Answers

George's financial outcome includes a profit of $20.

We have a buy and sell situation between George and his Neighbor as mentioned in the question.

We have to find out about George 's financial outcome after the complete process.

What is the formula to calculate the profit and loss of an object?

The formula to calculate -

Profit = Cost price - Selling price

Loss = Selling price - cost price

According to the question, we have -

Case - 1 :

Cost of tree bought by George = $50

Amount at which he sold it to his neighbor = $60

Case - 2 :

New Cost George offered to buy the tree back = $70

New cost at which the George sold it again = $80

Now -

Profit in Case 1 for George = $60 - $50 = $10

Profit in Case 2 for George = $80 - $70 = $10

Now -

initial cost of tree = $60

final cost at which George sold it = $80

Profit = $80 - $ 60

Profit = $ 20

Hence, George's financial outcome includes a profit of $20.

To solve more questions on Profit an loss, visit the link below -

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#SPJ2
George's financial outcome was $70. He bought it for $50, and then he sold it for $60 in return. He bought it for $70 again, so subtract 60-70= -10. He then sold it for $80 which he gained so -10 + 80 = $70.
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