How to draw congruent angles R&S

the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?

miss Akunina [59]

The equation of a circle in standard form is

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

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

$d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}$

$d = \sqrt{144 + 64}$

$d = \sqrt{208}$

$r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}$

$(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2$

$x^2 + (y - 2)^2 = 52$

7 0

3 years ago

Which ratio best defines experimental probability? Number of times an event occurs: Total number of times the activity is perfor

qaws [65]

Im not sure what you are asking, but i will say the answer is

<span>Total number of times the activity is performed: Number of times an event occurs</span>

4 0

3 years ago

Read 2 more answers

Vvorth 1 points

viva [34]

Hi there!

»»————-　★　————-««

I believe your answer is:

"Add 4 to both sides, and then divide by 2. The solution is x = 12."

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

To solve for 'x', we would have to use inverse operations.
We would first have to add four to both sides to undo the negative four. Addition is the opposite of subtraction.
We would then divide by 2 to isolate 'x'. Division is the opposite of multiplication.

⸻⸻⸻⸻

$\boxed{\text{Solving for 'x'...}}\\\\2x - 4 = 20\\------------\\\rightarrow 2x - 4 + 4 = 20 + 4\\\\\rightarrow 2x = 24\\\\\rightarrow \frac{2x=24}{2}\\\\\rightarrow \boxed{x = 12}$