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anonymous

  • one year ago

Find the limit of the function algebraically. limit as x approaches negative five of quantity x squared minus twenty five divided by quantity x plus five. Would the limit = -5?

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  1. anonymous
    • one year ago
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    can you draw/type out the limit?

  2. anonymous
    • one year ago
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    Yes @peachpi

  3. anonymous
    • one year ago
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    \[\lim_{x \rightarrow -5}\frac{ x^2-25 }{ x+5}\]

  4. anonymous
    • one year ago
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    ok. can you factor the numerator?

  5. anonymous
    • one year ago
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    (x+5)(x-5)

  6. anonymous
    • one year ago
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    So the (x + 5) cancel and you have \[\lim_{x \rightarrow -5}x-5\] Now plug in -5 for x to get the limit

  7. anonymous
    • one year ago
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    Oh so -10?

  8. anonymous
    • one year ago
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    yep

  9. anonymous
    • one year ago
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    Could you help me with one more?

  10. anonymous
    • one year ago
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    ok

  11. anonymous
    • one year ago
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    Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 16, b = 17 @peachpi

  12. anonymous
    • one year ago
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    \[\frac{ \sin A }{ a }=\frac{ \sin B }{ b }\] Solve for B to get the 2nd angle of the first triangle

  13. anonymous
    • one year ago
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    I did that and got b = .88 which isn't an answer choice.

  14. anonymous
    • one year ago
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  15. anonymous
    • one year ago
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    That's the answer choices I'm given.

  16. anonymous
    • one year ago
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    (sin 56°)/16 = (sin B)/17 sin B = (17 sin 56°)/16 sin B = 0.88 Oh, I see you. You need to take the inverse sine to find the angle. Use the sin^-1 button on your calculator \[B = \sin^{-1} 0.88 \] B = 61.74°

  17. anonymous
    • one year ago
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    Oh ok, so would the answer be B then?

  18. anonymous
    • one year ago
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    either B or D

  19. anonymous
    • one year ago
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    Oh...so how can I decide which?

  20. anonymous
    • one year ago
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    use law of sines again to test C. We know C = 62.3° in this triangle, so solve for c (sin 56°)/16 = (sin 62.3°)/c

  21. anonymous
    • one year ago
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    c = 17.1, so yeah B

  22. anonymous
    • one year ago
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    Ok thanks! Just did it on my calculator lol.

  23. anonymous
    • one year ago
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    you're welcome

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