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Daniel [21]
3 years ago
14

I am trying to find the equation of the following lines, i’m just having trouble putting them in slope-intercept form.

Mathematics
1 answer:
Margaret [11]3 years ago
7 0
\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~ -1 &,& -6~)
\end{array}
\\\\\\
slope =  m\implies  \cfrac{2}{5}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-6)=\cfrac{2}{5}[x-(-1)]
\\\\\\
y+6=\cfrac{2}{5}(x+1)\implies y+6=\cfrac{2}{5}x+\cfrac{2}{5}
\\\\\\
y=\cfrac{2}{5}x+\cfrac{2}{5}-6\implies y=\cfrac{2}{5}x-\cfrac{28}{5}



\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&&(~ -2 &,& 5~) 
&&(~ 5 &,& 8~)
\end{array}
\\\\\\
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-5}{5-(-2)}\implies \cfrac{8-5}{5+2}\implies \cfrac{3}{7}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=\cfrac{3}{7}[x-(-2)]
\\\\\\
y-5=\cfrac{3}{7}(x+2)\implies y-5=\cfrac{3}{7}x+\cfrac{6}{7}
\\\\\\
y=\cfrac{3}{7}x+\cfrac{6}{7}+5\implies y=\cfrac{3}{7}x+\cfrac{41}{7}
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If x2 + y2=6 , xy = 5 , then (X + y)2? <br><br><br><br>​
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Answer:

(x + y)² =16

Step-by-step explanation:

hello :

(x + y)² = x²+y²+2xy   and : x²+y² = 6     xy = 5

(x + y)² = 6+2(5)

(x + y)² =16    

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A container holds 9 red markers, 13 blue markers, and 17 green markers. You will randomly select two markers without replacement
IRISSAK [1]

Answer:

a.

                         R-------8/38--------RR

R------9/39--------B-------13/38-------RB

                          G------17/38--------RG

                          R-------9/38--------BR

B--------13/39------B-------12/38-------BB

                           G-------17/38-------BG

                             R-----9/38--------GR

G---------17/39-------B------13/38-------GB

                              G------16/38-------GG

b).

  • 9 ways
  • ways you can select 1 blue are; RB,BR,BG,GB

RB=9/39 × 13/38=3/38

BR= 13/39 × 9/38 =3/38

BG= 13/39 × 17/38=17/114

GB= 17/39 × 13/38=17/114

=3/38 +3/38+17/114+ 17/114 =26/57

  • Probability of selecting 2 red markers= RR = 9/39 × 8/38 =12/247

  • Probability of selecting a green marker and then a red marker= GR= 17/39×9/38 =51/494

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