I found it the answer here you go
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Answer:
graph A
Step-by-step explanation:
A graphing calculator can plot this function for you.
If you divide numerator and denominator by 25, you get ...
r = 1/(0.4 -sin(θ))
This will have asymptotes at θ = arcsin(0.4). At those values of θ, the value of r will change sign, so the graph cannot be a parabola or ellipse.
The graph of the hyperbola is the appropriate choice.
<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>
