F(x) = (x² - 3x - 10)(x + 4) becomes (x - 5)(x + 2)(x + 4) when completely factored. Now set each binomial equal to zero.
x - 5 = 0
x = 5
x + 2 = 0
x = - 2
x + 4 = 0
x = - 4
Your zeros are at x = - 4, - 2, and 5. Or at (- 4, 0), (- 2, 0), and (5, 0).
Answer:
1. 30
2. 150
Step-by-step explanation:

Lets assume tan(x) = u

Now we solve for 'u'
add 1 on both sides
, divide both sides by 3

Take square root on both sides

We replace tan(x) for 'u'
x = 30 because
in first quadrant
x = 30 (tan is positive in first quadrant)
x = 150 because
in second quadrant
tan is negative in second quadrant
parallel: g(x) = -5/3x + 1
perpendicular: h(x) = 3/5x - 5
neither: j(x) = 2x + 3
Answer:226.2
Step-by-step explanation
Lateral= 2πrh
H=12
R=3
2*π*3*12=226.19
Round to nearest 10th is 226.2