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Mathematics 16 Online
OpenStudy (anonymous):

Help & showing working out thanks, picture attached.

OpenStudy (anonymous):

OpenStudy (ajprincess):

Suppose the gradient of a line is m. the gradient of the line perpendicular to this will be -1/m.

OpenStudy (anonymous):

yep m1 x m2 = -1

OpenStudy (anonymous):

for Q9 I figured out m1=1/20 and so m2=-20 but I do not know the equation that is perpendicular to the original line.

OpenStudy (mertsj):

There are many lines that are perpendicular to the given line. You only have to give one. So just make an equation that has slope -20 and an arbitrary y intercept. Perhpaps y = -20x

OpenStudy (anonymous):

kk, well I did get that question wrong and the teacher wrote y=-20x + c so ur right and it means that c also known as the y-intercept can be any value, I believe.

OpenStudy (mertsj):

That is correct.

OpenStudy (anonymous):

any clues on how to do Q12?

OpenStudy (mertsj):

The slope of the two lines can be found by using m = -a/b. So the slope of the first line is 4/3 and the slope of the second line is 4/l

OpenStudy (mertsj):

So, is they are perpendicular, then \[\frac{4}{3}(\frac{4}{L})=-1\] And: \[-3L=16, L=\frac{-16}{3}\]

OpenStudy (mertsj):

So now replace x and y with the given coordinates and find p

OpenStudy (anonymous):

p=80/3 I believe?

OpenStudy (mertsj):

\[4(4)-(\frac{-16}{3})(2)=p=\frac{80}{3}\]

OpenStudy (mertsj):

I concur

OpenStudy (anonymous):

yes, at least I got that right lol. u made it seem so simple.

OpenStudy (mertsj):

One small step at a time.

OpenStudy (anonymous):

yep, thanks Mertsj!

OpenStudy (anonymous):

wait, I have some more questions, can u still help me?

OpenStudy (anonymous):

OpenStudy (mertsj):

And I don't know why you missed the first one because it says to find the equation of A line that is perpendicular to the given line. The answer y=-20x + c is the equation of ALL lines perpendicular to the given line.

OpenStudy (anonymous):

yes, wen ur in a test situation it's different and besides I'm stupid so that explains why I missed it.

OpenStudy (mertsj):

Just remember: for a polynomial, you can't have fractional exponents for the variable, you can't have negative exponents for the variable, and you can't have a variable in the denominator. So which one is it?

OpenStudy (anonymous):

B and so a square root, cube or greater will always have a fraction exponent right?

OpenStudy (anonymous):

r u doing Q12,b and Q13?

OpenStudy (mertsj):

That function has no abolute maximum or minimum since it goes on and on forever.

OpenStudy (mertsj):

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