A given line has the equation 3x-5y=20 . Which of the following equations represents the line perpendicular to the given line an
1 answer:
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Answer:
A = 3
B = -5
C = 2
Step-by-step explanation:
The way to format a quadratic equation is: , so the first step to solving this is to format it in the right way, where the
comes first, the
second, and the number alone.
After formatting, your equation should look like this:
From here, you can see the the <em>a </em> is 3, the <em>b</em> is -5, and the <em>c </em>is 2
Because this is a fourth degree that will be tricky to factor as it is, we will do a u substitution. Let . We can now rewrite that polynomial in terms of u:
. Filling into the quadratic formula we have
. Simplifying down
and
or
. That means that u = 8 or u = -1. But don't forget that we let
, so we have to put x-squared back in for u. That gives us
which simplifies down to
. That also gives us
. When we take the square root of -1, we have to use the fact that -1 = i^2, so we sub that in to get
. All in all, your solutions are as follows:
which is choice b.