Answer:6 . 625 or 6 5/8
Step-by-step explanation
10 + (-3 3/8) (adding a negative is like subtracting a positive)
10 - 3 3/8
6 5/8
Step-by-step explanation:
sorry dude my last brain cell ran after exam
Answer:
○ ![\displaystyle (x - 4)^2 + (y + 2)^2 = 25](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28x%20-%204%29%5E2%20%2B%20%28y%20%2B%202%29%5E2%20%3D%2025)
Explanation:
Accourding to one of the circle equations,
the centre of the circle is represented by
Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY <em>REALLY</em> 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 \\ \\ 4^2 + 3^2 = r^2 \hookrightarrow 16 + 9 = r^2 \hookrightarrow \sqrt{25} = \sqrt{r^2} \\ \\ \boxed{5 = r}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%5E2%20%2B%20b%5E2%20%3D%20c%5E2%20%5C%5C%20%5C%5C%204%5E2%20%2B%203%5E2%20%3D%20r%5E2%20%5Chookrightarrow%2016%20%2B%209%20%3D%20r%5E2%20%5Chookrightarrow%20%5Csqrt%7B25%7D%20%3D%20%5Csqrt%7Br%5E2%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7B5%20%3D%20r%7D)
Sinse we are dealing with <em>length</em>, we only desire the NON-NEGATIVE root.
Distanse Equation
![\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E2%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E2%7D%20%3D%20d%20%5C%5C%20%5C%5C%20%5Csqrt%7B%5B-7%20%2B%204%5D%5E2%20%2B%20%5B-2%20-%202%5D%5E2%7D%20%3D%20r%20%5Chookrightarrow%20%5Csqrt%7B%5B-3%5D%5E2%20%2B%20%5B-4%5D%5E2%7D%20%3D%20r%20%5Chookrightarrow%20%5Csqrt%7B9%20%2B%2016%7D%20%3D%20r%3B%20%5Csqrt%7B25%7D%20%3D%20r%20%5C%5C%20%5C%5C%20%5Cboxed%7B5%20%3D%20r%7D)
Sinse we are dealing with <em>distanse</em>, we only desire the NON-NEGATIVE root.
I am joyous to assist you at any time.
Answer:
the first equation could be something along the lines of
then the second is ![y=3x^{2} -3\\](https://tex.z-dn.net/?f=y%3D3x%5E%7B2%7D%20-3%5C%5C)
Step-by-step explanation:
this is how shifting works