If the area of the entire thing is 21.66 square inches, you can do the area of the entire thing-the area of the rectangle. This is, 21.66-4.6*3.8. 21.66-17.48, which =4.18.
The rational root (or zero) theorem says a polynomial's rational zeros must have factors of the constant in the numerator and those of the leading coefficient in the denominator.
Here the leading coefficient is 1 and the constant is 5, so our only possibilities for rational roots are 1, -1, 5, -5
We try them each in term
1-3+1+5=6 nope
-1 -3 -1 +5 = 0 yes, x = -1 is a rational zero
5 and -5 don't work either so we're left with
Final answer: x = -1
True because if you were to do common denominators 1/2 is equivalent to 4/8 and 4/8 is greater than 1/8
The formula for the secants of a circle is, in this case, (AB + BC) x BC = (ED + DC) x DC. After plugging in the known values we get: (ED + 10) x 10 = 420. Next, we can solve and get: ED = 32. Finally, we add up ED and DC and get a final answer of D. 42.
Hope this helps!
