Choose the correct conic section to match the equation. y 2 = 36x I need help

2 answers:

7 0

Remark
I take it that you mean y^2 = 36x. The first thing you should try and do is get a graph of the given equation. I've done that for you. Notice a few characteristics.

1. The graph opens left. Usually most graphs like this one open up or down.
2. The graph is open ended on the right.
3. There is only one open end.
4. The graph is continuous, but it is not a function. (that's a fact -- but not needed in this question).

When you get a graph looking like this, you have either a graph called a quadratic or a parabola. Either (but not both) could be your answer. If you have choices list them in a comment.

7nadin3 [17]3 years ago

5 0

Answer:

the answer is parabola

Step-by-step explanation:

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Given that , In a certain function, y varies directly with x

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Now, from the given information,

$\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}$

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$\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}$

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<h3>What are word problems?</h3>

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From the given information, it was stated that: