If f(x) = x2 – 1, and g(x) = x + 2, then g(f(x)) = [ ? ]x2+[ ]x + [ ]
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The midpoint of the line segment with endpoints at the given coordinates (-6,6) and (-3,-9) is
<u>Solution:</u>
Given, two points are (-6, 6) and (-3, -9)
We have to find the midpoint of the segment formed by the given points.
The midpoint of a segment formed by is given by:
Plugging in the values in formula, we get,
Hence, the midpoint of the segment is
Answer:
Step-by-step explanation:
We have the expression:
The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x
We will get:
Now we can directly add the terms to get:
We can't simplify this anymore
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
While the point-slope equation of a line is given by:
Where:
m: It's the slope
It is a point through which the line passes
In this case we have a line through:
(8,4) and (0,2)
Therefore, its slope is:
Its point-slope equation is:
Then, we manipulate the expression to find the equation of the slope-intersection form:
Therefore, the cut-off point with the y-axis is
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