The figure shows two semicircles centered at g and h. point b is on both semicircles. line df touches each circle at one point only, points f and e. if de = 4 and ef = 8, what is the scale factor applied when triangle deh is dilated to make triangle dfg?

answer:

eight semicircles line the inside of a square with side length 2 as shown. what is the radius of the circle tangent to all of these semicircles? the semicircles, then draw the perpendicular from the center of the middle circle to that side, as shown. it's because the semicircle has two tangents of the same "height", the other to

step-by-step explanation:

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.