What is w equivalent to 7w-6=3(w+4) + 4w
1 answer:
You might be interested in
Answer:
.
Step-by-step explanation:
A line that goes through and
where
would have a slope of
.
The slope of the line that goes through and
would thus be:
.
Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is .
Thus, if and
denote the slope of the first and second lines in this question,
since the two lines are perpendicular to one another. Since
, the slope of the first line would be:
.
Given that the first line goes through the point , the point-slope equation of that line would be:
.
.
Substitute in to find the
-coordinate of the point in question:
.
Given that the difference between the roots of the equation 
is 
.
Recall that the sum of roots of a quadratic equation is given by
.
Let the two roots of the equation be
and 
, then
. . . (1)
Also recall that the product of the two roots of a quadratic equation is given by
, thus:
. . . (2)
From (1), we have:
Substituting for alpha into (2), gives:
Recall that the sum of roots of a quadratic equation is given by
Let the two roots of the equation be
Also recall that the product of the two roots of a quadratic equation is given by
From (1), we have:
Substituting for alpha into (2), gives: