the line not adjacent to the 42 degree angle is also 42 by the vertical angles theorem. Then you find the measure of the other 2 by x+42=180 so x=138.

4 0

3 years ago

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A system of equation has no solutions. If y=8x+7 is one of the equation, which could be the other equation

klemol [59]

This function, y=8x+7 is linear with a slope (m) =8.

Any other function with slope m = 8 could be the other equation

Example:

y=8x+10
y=8x-5/3
y=8x+10,000
etc.
In short there are an infinity of function

8 0

3 years ago

Find a closed form for Sn = 1 *1!+2*2!+...+n*n! for integer n>=1 Your response should have a factorial.

pantera1 [17]

Hello,

$x_{1} =1*1!=1\\
 x_{2} =2*2!=4\\
 x_{3} =3*3!=18\\
 x_{4} =4*4!=96\\

 S_{1} = x_{1}=1=2!-1\\
 S_{2} = x_{1}+x_{2}=1+4=5=3!-1\\
 S_{3} = x_{1}+x_{2}+x_{3}=5+18=23=4!-1\\
 S_{4} = x_{1}+x_{2}+x_{3}+x_{4}=23+96=119=5!-1\\

 \boxed{S_{n} = (n+1)!-1}\\


$

6 0

4 years ago