Finding midpoint of the line segment


Assignment:

Q1. Find the midpoint of the line segment joining the points p1 and p2
P1= (1.1)
P2= (-4,3)
Midpoint is______

Q2. Find the equation of a line that is parallel to the line x=9 and contains the point (-4,9). The equation of the parallel line is______

Q3. Find the equation of a line that is perpendicular to the line y=1/3x+7 and contains the point (-9,0) y=_____

Q4. Find the intercepts and use them to graph the equation.
y=3x-3
The intercepts are ____

Q5. Find the distance d (P1,P2) between the points P1 and P2
P1=(-3,2); P2=(4,6)
d(P1,P2)=

Q6. Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in internal notation.
X3-5x2-25x+125<0
What is solution set_______(interval notation)

Q7. Solve the following logarithmic equation.
log 2(x-2)=4-log 2(x+4)
x=_____

Q8. The function f(x)=4x/3x-5 is one to one.
Find its inverse and check your answer.
f-1(x)=_____

Provide complete and step by step solution for the question and show calculations and use formulas.

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