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Mathematics 19 Online
OpenStudy (mathmath333):

Co-ordinate Geometry

OpenStudy (dan815):

im so ready for this

OpenStudy (mathmath333):

What will be the value of \(p\) if the equation of the straight line \(2x+5y=4\) gets changed to \(2x+5y=p\) after shifting the origin at \((3,3).\)?

OpenStudy (dan815):

2(x-3)+5(y-3)=4 solve for p

OpenStudy (dan815):

2x-6+5y-15=4 2x+5y-21=4 2x+5y-21+21=4+21 2x+5y-21=25

OpenStudy (mathmath333):

\(\large \color{black}{\begin{align} &a.)\ 16\hspace{.33em}\\~\\ &b.)\ -17\hspace{.33em}\\~\\ &c.)\ 12\hspace{.33em}\\~\\ &d.)\ 10\hspace{.33em}\\~\\ \end{align}}\)

OpenStudy (dan815):

2x-6+5y-15=4 2x+5y-21=4 2x+5y-21+21=4+21 2x+5y-21=25

OpenStudy (dan815):

none of them are right

OpenStudy (mathmath333):

book gives \(b.)\) as correct.

OpenStudy (dan815):

they messed up

OpenStudy (dan815):

some kid did 4-21 when he shud have done 4+21

OpenStudy (mathmath333):

haha

OpenStudy (dan815):

trust me :)

OpenStudy (mathmath333):

ok so it is \(\large 2x+5y=25\)

OpenStudy (dan815):

|dw:1432651297491:dw|

mathslover (mathslover):

Yep! Dan is right. X = x - h Y = y - k (h,k) -- new origin (x,y) -- original point coordinates (X,Y) --- coordinates w.r.t new origin So, as far as "maths" is concerned, he is right :P

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