<em>p</em> ² + 6 is even if <em>p</em> ² is even (the sum of two even numbers is even), and this happens only if <em>p</em> itself is even, i.e. if <em>p</em> = 2 since 2 is the only even prime.
All other primes <em>p</em> are odd, so <em>p</em> ² would be odd, and adding 6 would not change that (odd + even = odd).
Answer:
Area
Step-by-step explanation:
<h3>
Answer: (x² + 1)(x + 1)</h3>
Work Shown:
x³ + x² + x + 1
(x³ + x²) + (x + 1)
x²(x+1) + 1(x + 1)
(x² + 1)(x + 1)
The basic outline is to pair up the terms into two groups. We factor each group separately, and then factor out the overall GCF (x+1). You can use the FOIL rule to verify the answer.
We are already given with the function to solve for the area:
<span>A(θ) = 16 sin θ ⋅ (cos θ + 1)
</span>
We simply have to substitute the value of the angle into the function. So,
If <span>θ = 90°,
A(</span>90°) = 16 sin (90°) ( cos (<span>90°) + 1 )
Using the calculator or the definition of trigonometric functions at angle of </span><span>90°, we get the value of the area:
</span>A(<span>90°) = 16 square inches</span>
