First you need to find g(6) which is -2 now plug in -2 into the function f. So 6(-2)+12=0
3:8 = n:32
you multiply the ratio 3:8 by 4 to get the 32 female performers, so you multiply the 3 by 4 to get the variable n, which is how many men there are. so, 3×4=12
3:8 × 4:4 = 12:32
there are 12 men in the recital.
hope that helped and wasn't too confusing!
A midsegment is given by the formula:
Where x1, x2, y1, and y2 correspond to their respective coordinates. We can do the equation:
This gets us a midpoint coordinate of <span>
(1,1)</span>As for distance, it will be found by doing:
We can do the following:
This simplifies to
:)