Mathematics
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OpenStudy (anonymous):
could someone expand this expression? y= 5x-2.. substitute in the equation 2x^2 + y^2 - 4x - 14y + 48..
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OpenStudy (nirmalnema):
\[2x^2+(5x-2)^2-4x-14(5x-2)+48\]
OpenStudy (nirmalnema):
\[2x^2+(25x^2-20x+4)-4x-70x+28+48\]
OpenStudy (nirmalnema):
\[27x^2-94x+80\]
OpenStudy (nirmalnema):
@silverxx do u get it
OpenStudy (anonymous):
its 2 and 40/27
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OpenStudy (anonymous):
wait.. you have any idea about tangent lines??
OpenStudy (nirmalnema):
yup ...
OpenStudy (anonymous):
oh please help./.
OpenStudy (nirmalnema):
sure......i will try,,
OpenStudy (anonymous):
2x^2 + y^2 - 4x - 14y + 48 = 0 is perpendicular tp 5x - 2y + 4 = 0
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OpenStudy (anonymous):
what i did first was getting the dy/dx of the first equation then that serves as the m.
OpenStudy (anonymous):
then the second equation convert to the expression y= mx + b
OpenStudy (anonymous):
then equate both slope :)
OpenStudy (nirmalnema):
what do u want to do in the que??
OpenStudy (anonymous):
and then im lost
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OpenStudy (anonymous):
derive to tese answers 2x = 5y - 28 = 0 and 15x - 6y + 22 = 0
OpenStudy (anonymous):
and 2x + 5y - 46 = 0 and 15x - 6y + 32 = 0
OpenStudy (nirmalnema):
can you pls tell me the whole que....i m little bit confused
OpenStudy (anonymous):
find the equations of the tangents and normals.. 2x^2 + y^2 - 4x - 14y + 48 = 0 is perpendicular to 5x - 2y + 4 = 0
OpenStudy (nirmalnema):
given eq is of a circle or what??
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OpenStudy (anonymous):
it wasnt mentioned..
OpenStudy (anonymous):
curve i think
OpenStudy (nirmalnema):
ok...
OpenStudy (nirmalnema):
sorry i m not getting the ans,,
OpenStudy (anonymous):
its okay but wait hehe
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OpenStudy (anonymous):
how can i square y = 5x+2?
OpenStudy (nirmalnema):
y^2=(5x+2)^2
y^2=25x^2+20x+4)
OpenStudy (nirmalnema):
by squaring both the side.
OpenStudy (anonymous):
the dy/dx of 2x^2 + y^2 - 4x - 14y + 48?
OpenStudy (nirmalnema):
what do u get?
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OpenStudy (anonymous):
- 4x + 4/ 2y- 14
OpenStudy (nirmalnema):
yup i also get this..
OpenStudy (anonymous):
can you equate that to 2/5?
OpenStudy (anonymous):
just to make sure i have same answer with yours