The formula you would use here comes from geometry as you studied circles. In our case, 4(4+5)=3(3+x). When we simplify that we get 36=9+3x, and 3x = 27 so x = 9.
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Answer:
2
Step-by-step explanation:
The solutions are ...
p +m|x +n| = k . . . . . given
m|x +n| = k -p . . . . . . subtract p
|x +n| = (k -p)/m = (p -k)/-m . . . . . . must have (p-k)/-m ≥ 0
x = -n ± (p -k)/-m
For the given conditions, m < 0, p > k, we are guaranteed that (p-k)/-m > 0, so there are 2 solutions.
Hey there!
First, find the slope of the actual original pair of points.
The slope formula is:
So now, substitute the points in, whichever order you substitute the points into the equation doesn't matter, as long as the ones substituted in with the same subscript number.
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Once you subtract, you get:
So the slope is 11/10.
A line that is parallel to another has the exact same slope that that another line has.
So therefore the line that is
parallel has a slope of 11/10.
Perpendicular is another story. You take the reciprocal of the slope of the other line, and then change the sign before it: ex: negative would become positive.
So therefore the line that is
perpendicular has a slope of -10/11.