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Math Help - Help with a few problems

  1. #1
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    Help with a few problems



    1) Help please! Can someone find the slope of the line above ^^^ with the coordinates (-2, -3) and (3, 7).
    2) Now for the hexagon problem:: A regular hexagon has rotational symmetry about its center. What is the minimum number of degrees of rotation necessary to show rotational symmetry? Explain your reasoning using math vocabulary.
    3) Write in a simpler, shorter form without parentheses! SIMPLIFY!:

    -2(3x-5)+2x-2(5-x)

    Thank you!

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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by peachgal View Post


    1) Help please! Can someone find the slope of the line above ^^^ with the coordinates (-2, -3) and (3, 7).
    2) Now for the hexagon problem:: A regular hexagon has rotational symmetry about its center. What is the minimum number of degrees of rotation necessary to show rotational symmetry? Explain your reasoning using math vocabulary.
    3) Write in a simpler, shorter form without parentheses! SIMPLIFY!:

    -2(3x-5)+2x-2(5-x)

    Thank you!
    1) The slope between two points (x_1, y_1) \text{ and }(x_2, y_2) is m = \frac{y_2 - y_1}{x_2 - x_1}.

    2) There are 6 points on the hexagon. If you inscribed a circle about the hexagon, what is the central angle between two of the points?

    3) Is this
    -2(3x - 5) + 2x - 2(5 - x)
    or
    -2(3x - 5) + (2x - 2)(5 - x)

    -Dan
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  3. #3
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    Quote Originally Posted by topsquark View Post
    1) The slope between two points (x_1, y_1) \text{ and }(x_2, y_2) is m = \frac{y_2 - y_1}{x_2 - x_1}.

    2) There are 6 points on the hexagon. If you inscribed a circle about the hexagon, what is the central angle between two of the points?

    3) Is this
    -2(3x - 5) + 2x - 2(5 - x)
    or
    -2(3x - 5) + (2x - 2)(5 - x)

    -Dan
    I'm sorry I wish I could be smart but I am absolutely horrible with angles.
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by peachgal View Post
    I'm sorry I wish I could be smart but I am absolutely horrible with angles.
    A circle has how many degrees?

    -Dan
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  5. #5
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    Quote Originally Posted by topsquark View Post
    A circle has how many degrees?

    -Dan
    360
    By the way on #2 it said simplify WITHOUT using parentheses. Can you please do that?
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  6. #6
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by peachgal View Post
    360
    And you have six points on the hexagon. So how far do you have to rotate the hexagon before it looks like the original hexagon again? (In other words, rotate the hexagon, but leave a copy of it in it's original position. How far do you have to rotate the hexagon before it covers the copy?)

    -Dan
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  7. #7
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by peachgal View Post
    3) Write in a simpler, shorter form without parentheses! SIMPLIFY!:

    -2(3x-5)+2x-2(5-x)

    Thank you!
    You know that a(b + c) = ab + ac. So the first term, for example gives:
    -2(3x - 5) = (-2)(3x) + (-2)(-5) = -6x + 10

    You do the third term.

    -Dan
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  8. #8
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    Quote Originally Posted by topsquark View Post
    And you have six points on the hexagon. So how far do you have to rotate the hexagon before it looks like the original hexagon again? (In other words, rotate the hexagon, but leave a copy of it in it's original position. How far do you have to rotate the hexagon before it covers the copy?)

    -Dan
    60 degrees ok now i get it
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