Hope this helps and is your the right answer! Hope I got it to you fast enough!
Answer:
A
Step-by-step explanation:
So we have the piecewise function:

And we want to find f(8).
Since our input value is 8, choose the equation that fits our input.
The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.
The second equation demand x to e greater than or equal to 3 and less than 8. 8 is <em>not</em> less than 8. So, we won't use that.
The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.
So:


There're nothing more to do, we're done :)
The answer is A.
Edit: Improved Format
Answer: (e-5)^2
Step-by-step explanation:
The box method is a good way to solve this, but for a quick explanation, start by finding a single value that when added gets -10 and when multiplied gets +25. We can find that this term is -5. We the can situate -5 into (e-5)^2 equation, where if you FOIL, you will be back at the unfactored equation. Hope this helps
The choices are (3, 2) (2, 5) (6, 7) and (7, 5). The distance formula given two points is d = square root of [<span>(y2−y1)^2+(x2−x1)^2]. In this case, we try every point in the choices and substitute y1 equal to 6 and x1 equal to 6 as well. The answer is A from the choices.
</span>d=square root of [(6−2)^2+(6−3)2]
d=square root of [(4)^2+(3)^2]
d=square root of [16+9]
d=<span>square root of [</span>25]
d=5