Which of the statements about this picture below are true? choose all that apply.

f is the circumcenter of the triangle
f is the incenter of the triangle
f is the point of concurrency of the perpendicular bisectors of the sides of the triangle
f is the point of concurrency of the angle bisectors of the angle of the triangle
f is equidistant from the three sides of the triangle
i am so very

Second, Fourth and  Fifth options are correct.

Step-by-step explanation:

F is the incenter because F is the point of intersection of the three angle bisector of the triangle.

As we can see that the angle bisector divides the angles into equal angles.

So, F is the point of concurrency of the angle bisectors of the angle of the triangle.

F is equidistant from the three sides of the triangle.

Hence, Second ,Fourth, Fifth options are correct.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.