Answer:
<u>option C. (x + 4) and (x − 8)</u>
Step-by-step explanation:
A factor is one of the linear expressions of a single-variable of the polynomial.
Given: y = (1/4)(x + 4)(x - 8)
When y = 0
∴ (1/4)(x + 4)(x - 8) = 0 ⇒ multiply both sides by 4
∴ (x + 4)(x - 8) = 0
So, the factors of the function are (x+4) and (x-8)
The answer is option <u>C. (x + 4) and (x − 8)</u>
Answer:
26,167 m
Step-by-step explanation:
Step 1: Find the other angle of the complementary set
90 - 17 = 73°
Step 2: Find the angle of elevation from the ship
180 - (73 + 90) = 17°
Step 3: Use tan∅ to find distance
tan17° = 8000/x
xtan17° = 8000
x = 8000/tan17°
x = 26166.8
Remember:
sin²x + cos²x = 1
(-5/13)² + cos²<span>θ = 1
(25/169) + cos²</span><span>θ = 1
cos²</span><span>θ = 1 - (25/169)
cos²</span><span>θ = (144/169)
tan </span>θ > 0 ⇒ cos<span>θ = negative
cos</span>θ = -√(144/169)
cos<span>θ = -(12/13)</span>
So a²+b²=c²
8²+15²=c²
64+225=c²
289=c²
±17=c
So c=17 or c=-17