Answer:
(x) = 
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 5x + 4 ( subtract 4 from both sides )
y - 4 = 5x ( divide both sides by 5 )
= x
change x to (x) and y back to x, thus
(x) =
The volume of a triangular prism by definition is given by:
V = (Area of the base) * (height)
Substituting the values we have:
V = (30) * (6)
V = 180 in ^ 3
Answer:
The volume of the sail in the form of a triangular prism is:
V = 180 in ^ 3
x = 95°
The angles are vertically opposite so they are equal.
<span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>−5</span>−<span>(<span><span><span>(<span>−<span>8a</span></span>)</span><span>(b)</span></span>−4</span>)</span></span>
So first
Distribute the Negative Sign:
<span>=<span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>−5</span>+<span><span>−1</span><span>(<span><span><span>(<span>−<span>8a</span></span>)</span><span>(b)</span></span>−4</span>)
</span></span></span></span><span>=<span><span><span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>+</span>−5</span>+<span><span>−1</span><span>(<span><span>(<span>−<span>8a</span></span>)</span><span>(b)</span></span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(<span>−4</span>)
</span></span></span></span><span>=<span><span><span><span><span><span><span>(<span>−a</span>)</span><span>(b)</span></span>+<span>8a</span></span>+</span>−5</span>+<span><span>8a</span>b</span></span>+4</span></span><span>=<span><span><span><span><span><span>−<span>ab</span></span>+<span>8a</span></span>+</span>−5</span>+<span><span>8a</span>b</span></span>+4
</span></span>
Then after all of that
Combine Like Terms:<span>=<span><span><span><span><span>−<span>ab</span></span>+<span>8a</span></span>+<span>−5</span></span>+<span><span>8a</span>b</span></span>+4
</span></span><span>=<span><span><span>(<span><span>−<span>ab</span></span>+<span><span>8a</span>b</span></span>)</span>+<span>(<span>8a</span>)</span></span>+<span>(<span><span>−5</span>+4</span>)
So now your answer is </span></span></span><span>=<span><span><span><span>7a</span>b</span>+<span>8a</span></span>+<span>−<span>1</span></span></span></span>
