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3 years ago

What is the equation of the circle?

Mathematics

1 answer:

adoni [48]3 years ago

3 0

Answer:

(x - 3)^2 + (y + 2)^2 = 2^2

Step-by-step explanation:

The center is at x = 3 and y = 2: (3, 2). The radius is 2. Starting with the standard equation of a circle with radius r and center (h, k), we get:

(x - 3)^2 + (y + 2)^2 = 2^2

You might be interested in

Find the 9th term of the geometric sequence whose common ratio is 1/2 and whose first term is 4.

ArbitrLikvidat [17]

Answer:

The 9th term is 1/64.

I hope it is correct ✌️

5 0

3 years ago

Pls help! due tonight! Will give brainliest! And pls explain! 16 points!

iris [78.8K]

First of all, x =-1 (y don’t change) so first 2 answer is out.
Now mirror to x-1 >>>
A(0,-1)
0 >> -1 is left one step so -1 left one step is -2
A(0,-1) >> A’(-2,-1)

A(-5,0)
-5 >> -1 is right 4 step so -1 right 4 step is 3
A’(3,0)
This is correct
Answer is D

You can see explain here:
https://youtu.be/Zro30Ui9FXs

8 0

3 years ago

A radio antenna is kept perpendicular to the ground by three wires of equal length. The wires touch the ground at three points o

Elena-2011 [213]

Answer:

The coordinates of the base of the antenna is (-6. 1)

Step-by-step explanation:

Here we are required to find the center of a circle given points on the circumference

The equation of a circle is

(x - h)² + (y - k)² = r²

Where:

x and y are points on the circumference

h and k are coordinates of the center of the circle and

r = The radius of the circle

Since we have the values for the points on the circumference, we are left with three unknowns, which we can find with three equations as follows;

By plugging in the values for x and y at the respective points we get,

At (9, -19) → (9 - h)² + (-19 - k)² = r²...............(1)

At (-21, -19) → (-21 - h)² + (-19 - k)² = r².....,...(2)

At (14, 16 ) → (14 - h)² + (16 - k)² = r² ............(3)

Solving, we get from (1) (-19 - k)² = r² - (9 - h)²

Plugging in the value of (-19 - k)² in equation (2) we get

(-21 - h)² + r² - (9 - h)² = r²

So that (-21 - h)² - (9 - h)² = r² - r² = 0

and (-21 - h)² - (9 - h)² = 0 gives

60·h +360 = 0 or h = -6

Plugging in the value of h = -6 in equation (3) we get

(14 - (-6))² + (16 - k)² = r²

20² + (16 - k)² = r² .................(4)

similarly from equation (1) we get

(9 - (-6))² + (-19 - k)² = r²

15² + (-19 - k)² = r² ................(5)

Subtracting equation (5) from (4) gives

20² - 15² + (16 - k)² - (-19 - k)² = 0

Which gives

-70·k + 70 = 0

or k = 1

Therefore the coordinates of the base of the antenna = (-6. 1).

6 0

4 years ago

I need the answer i don't know the answer so please help me

Alekssandra [29.7K]

1200 - 450 = 750 liters that he needs to fill up

81.5 x 750 = €61,125
€61,125 x 0.075 = €4,584.38 (discount as a loyal customer)
total paid with discount = €61,125 - €4,584.38 = €56,540.62

answer
Mr. Leonard gets €4,584.38 discount on his purchase

5 0

3 years ago

The temperature in degrees Celsius, c, can be converted to degrees Fahrenheit, f, using the equation f-c+32. Which

Basile [38]

It is a function because every Celsius temperature is associated with only one Fahrenheit temperature. Therefore, option B is true.

<h3>How to convert Celsius into Fahrenheit ?</h3>

We are given that the temperature in degrees Celsius C can be converted to degrees Fahrenheit F

We know that the formula

$\dfrac{C}{5} = \dfrac{F - 32}{9}$

If we are substituting c = -40

Then, we get

$\dfrac{C}{5} = \dfrac{F - 32}{9}\\\\\dfrac{-40}{5} = \dfrac{F - 32}{9}\\\\-8 \times 9 = F - 32\\\\F = -72 + 32\\\\F = -40$

For every Celsius temperature, we get only one value of Fahrenheit.

The function is one-one because for every value of Celsius we get a unique value of Fahrenheit.

Hence, it is a function because every Celsius temperature is associated with only one Fahrenheit temperature.

Therefore, option B is true.

Learn more about temperature scale here:

brainly.com/question/2919967

#SPJ1

7 0

2 years ago