Accourding to one of the circle equations, $\displaystyle (x - h)^2 + (y - k)^2 = r^2,$ the centre of the circle is represented by $\displaystyle (h, k).$ Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

$\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = r^2 \hookrightarrow 36 + 64 = r^2 \hookrightarrow \sqrt{100} = \sqrt{r^2} \\ \\ \boxed{10 = r}$

Sinse we are dealing with length, we only desire the NON-NEGATIVE root.

Distanse Equation

$\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-5 - 3]^2 + [3 + 3]^2} = r \hookrightarrow \sqrt{[-8]^2 + 6^2} = r \hookrightarrow \sqrt{64 + 36} = r; \sqrt{100} = r \\ \\ \boxed{10 = r}$

Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

5 0

2 years ago

Find 4 times 213 useing expanded form

notka56 [123]

4 x 213 = 4 x (200 + 10 + 3) = 852

8 0

3 years ago

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PLEASE HELP ME!!!

agasfer [191]

Your answer is 5/6.
1. make the denominators the same as the LCD
1/6+(2*2/3*2)
2. simplify. denominators are now the same
1/6+4/6
3. join the denominators
1+4/6
4. simplify
5/6
tell me if u have any more questions

6 0

3 years ago

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WHICH IS A TRUE STATEMENT BASED ON THE BOX PLOTS BELOW 10 POINTS WITH PICTURE

Kay [80]

Answer: d I believe

Step-by-step explanation:

5 0

3 years ago

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