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Mathematics
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OpenStudy (mathmath333):
Co-ordinate Geometry
10 years ago
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OpenStudy (dan815):
im so ready for this
10 years ago
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 \((3,3).\)?
10 years ago
OpenStudy (dan815):
2(x-3)+5(y-3)=4
solve for p
10 years ago
OpenStudy (dan815):
2x-6+5y-15=4
2x+5y-21=4
2x+5y-21+21=4+21
2x+5y-21=25
10 years ago
OpenStudy (mathmath333):
\(\large \color{black}{\begin{align} &a.)\ 16\hspace{.33em}\\~\\
&b.)\ -17\hspace{.33em}\\~\\
&c.)\ 12\hspace{.33em}\\~\\
&d.)\ 10\hspace{.33em}\\~\\
\end{align}}\)
10 years ago
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OpenStudy (dan815):
2x-6+5y-15=4
2x+5y-21=4
2x+5y-21+21=4+21
2x+5y-21=25
10 years ago
OpenStudy (dan815):
none of them are right
10 years ago
OpenStudy (mathmath333):
book gives \(b.)\) as correct.
10 years ago
OpenStudy (dan815):
they messed up
10 years ago
OpenStudy (dan815):
some kid did 4-21
when he shud have done 4+21
10 years ago
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OpenStudy (mathmath333):
haha
10 years ago
OpenStudy (dan815):
trust me :)
10 years ago
OpenStudy (mathmath333):
ok so it is \(\large 2x+5y=25\)
10 years ago
OpenStudy (dan815):
|dw:1432651297491:dw|
10 years ago
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
10 years ago
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