3. g(x) = (x+2)/ |x+2| the denominator cannot be 0
|x+2| cannot be 0
x cannot equal -2
Domain all real numbers but -2
g(-1) = (-1+2)/ |-1+2| = 1/|1| = 1
4. h(x) = (x-4)/(x^2+5x-36)
factor the denominator
h(x) = (x-4)/(x+9) (x-4) the denominator cannot be zero do not cancel, this is a hole
x+9 cannot equal zero so x cannot equal -9
x-4 cannot equal 0 so x cannot equal 4
Domain all real numbers but -9 and 4
h(-1) = (-1-4)/((-1)^2+5(-1)-36) = -5/(1-5-36) = -5/-40 = 1/8
Answer:
w = -0.5
Step-by-step explanation:
Divide the entire equation by -6.8 to cancel it out and get your "w" variable alone.
w = -0.5
9514 1404 393
Answer:
32.5 ft
Step-by-step explanation:
The length of the side opposite the given angle is found using the sine relation:
Sin = Opposite/Hypotenuse
height on building = (33 ft)·sin(80°) ≈ 32.5 ft
The ladder reaches about 32.5 feet up the side of the building.
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<em>Additional comment</em>
The maximum angle compliant with OSHA safety rules is 75.5°.
