anonymous
  • anonymous
find the value of y. express in simplest radical form.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
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shadowfiend
  • shadowfiend
This question doesn't make sense alone. Is there an equation involved?
anonymous
  • anonymous
a triangle
anonymous
  • anonymous
the hypotenuse is \[\sqrt{85}\] the base is y and the height is 6

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shadowfiend
  • shadowfiend
Ok. So if it has a hypotenuse, then it is a right triangle. What equation did we say relates the sides of a right triangle?
anonymous
  • anonymous
i dont know
shadowfiend
  • shadowfiend
The Pythagorean theorem. Check the previous answer I gave you for what that looks like, and then let's continue.
anonymous
  • anonymous
ok but i never have done it with a radical of 85
shadowfiend
  • shadowfiend
Ok, so that's fine. Once we've said that \(a^2 + b^2 = c^2\), and we know that the hypotenuse is \(\sqrt{85}\), we have: \[y^2 + 6^2 = \sqrt{85}^2\] What's \(\sqrt{85}^2\)?
anonymous
  • anonymous
about 28
shadowfiend
  • shadowfiend
Not quite. The square root is the opposite of squaring something. So a square root and a square cancel out.
anonymous
  • anonymous
so it cancels all the time?
shadowfiend
  • shadowfiend
Right. So in \(\sqrt{x}^2 = x\). In this case, 85. So we have: \[y^2 + 6^2 = 85\] Then you can solve for \(y\).
anonymous
  • anonymous
y2 + 65 = 85
shadowfiend
  • shadowfiend
\(6^2 = 6 \cdot 6\), which isn't quite 65.
anonymous
  • anonymous
i mean 36
shadowfiend
  • shadowfiend
Right :)
shadowfiend
  • shadowfiend
Exactly.
anonymous
  • anonymous
so now subtract 65 from both sides?
shadowfiend
  • shadowfiend
Well, 36 :)
anonymous
  • anonymous
yea
anonymous
  • anonymous
y2=49
anonymous
  • anonymous
\[\sqrt{49}\]
anonymous
  • anonymous
7
shadowfiend
  • shadowfiend
Pwned. Exactly.
anonymous
  • anonymous
wow why cant my teacher explain this like this easy way
shadowfiend
  • shadowfiend
That's a question I can't answer :)
anonymous
  • anonymous
haha yea
anonymous
  • anonymous
shadow what if the radical 19 is not the hypatenuse but its the height or base do i still keep 19 or do i do 19 x 19
shadowfiend
  • shadowfiend
When you plug into the quadratic equation, you'll still have it squared. So if it's \(\sqrt{19}\), then when you square it it will become 19.
anonymous
  • anonymous
ok thank you do you do trigonometry sin cos and tangent?
shadowfiend
  • shadowfiend
Sometimes. I saw your other question, but not sure what you're asking. Add some more details to it if you can.
anonymous
  • anonymous
where do i find my other question?
anonymous
  • anonymous
found it

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