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natita [175]
3 years ago
15

Graph the equation by plotting points. x=6

Mathematics
1 answer:
Margaret [11]3 years ago
4 0
Your line will be vertical through the line 6 on the x axis, points- (6,0), (6,1), (6,2) etc..
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1, 2, 3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30.
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Factor out in steps. . 3p^2-2p-5.
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The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1), and S(–3, 0). Using the diagonals, prove
REY [17]

To prove a rhombus you need to show that the sides are congruent and the diagonals are perpendicular.

Sides:

d_{RM}=\sqrt{(-4-1)^2+(5-4)^2}

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    =\sqrt{26}

d_{MB}=\sqrt{(1-2)^2+(4+1)^2}

    =\sqrt{(-1)^2+(15)^2}

    =\sqrt{1+25}

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d_{BS}=\sqrt{(2+3)^2+(-1-0)^2}

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d_{SR}=\sqrt{(-3+4)^2+(0-5)^2}

    =\sqrt{(1)^2+(-5)^2}

    =\sqrt{1+25}

    =\sqrt{26}

\overline{RM} ≅ \overline{MB} ≅ \overline{BS} ≅ \overline{SR}

Diagonals:

Use the slope formula: m=\dfrac{y_2-y_1}{x_2-x_1}

m_{RB}=\dfrac{5+1}{-4-2}

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       = -1

m_{MS}=\dfrac{4-0}{1+3}

       =\dfrac{4}{4}

       = 1

Slopes are opposite reciprocals so they are perpendicular.

***************************************************************************

All of the sides are congruent and the diagonals are perpendicular so RMBS is a rhombus.

         



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