I have three questions... (copied below)
When solving a radical equation, Beth and Kelly came to two different conclusions. Beth found a solution, while Kelly's solution did not work in the equation. Create and justify two situations: one situation where Beth is correct and a separate situation where Kelly is correct.
A dirt bike racer wants to plan a path between a giant boulder and a fence that lines his property. Using these as the focus and directrix, how can the racer plan a parabolic path that will be equidistant from the boulder and the fence at all times? Describe your method in full sentences.
Joselyn is a manager at a sign painting company. She has three painters, Allen, Brianne, and Charles. Allen can complete a large project in 16 hours. Brianne can complete the same sized project in 18 hours. Charles is new, so no one knows how long it will take him. Joselyn assigns them all a large project to complete together. Explain to Joselyn how this project can tell her how long it would take Charles if he worked by himself. Use complete sentences.
\[\sqrt{x}=2\] \[(\sqrt{x})^2=2^2\] x=4
\[\sqrt{x}=-2\] \[(\sqrt{x})^2=(-2)^2\] \[x=4\]
Are both of those for the first question or is the second one for the second question?
nevermined, i understand and thank you
yw
Can you also help me on the last two, if you know them?
The vertex of a parabola is halfway between the focus and the directrix. If he knows the vertex, he can find the value of p which is the distance from the vertex to the focus. Then he can write x^2=4py for his equation.
what does the y stand for? or is it just another variable?
and sense I have to make up an equation could I just give a value to p? or do i find it with the equation you wrote?
Just like I wrote it.
ok is there a method to use the equation for x^2=4py or do i just say solve for it?
Perhaps you should reread the question so you can understand what it is asking.
Im sorry, ive been doing math all day and I'm a little tired, but thank you so much for your help, and i figured out the last one, so thanks again!! :)
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