Answer:

Step-by-step explanation:
We are given the following in the question:
A(1, 1), B(2, 4), C(4, 2)
i) Slope of AB

Thus, slope of AB is 3.
ii) Point slope form
The point slope form of a line can be written as:

The point intercept form of line can be written as:

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB
Putting values, we get,

which is the required slope intercept equation of line p.
Answer:
the correct answer is HLI
Answer:
4x^2 -5x -2
Step-by-step explanation:
= 5x^2 -3x -7 -x^2 -2x +5
= (5 -1)x^2 +(-3 -2)x +(-7 +5)
= 4x^2 -5x -2
The circumference of a circle with radius

is

. If the length of the radius is tripled, then the circumference becomes

, which is just 3 times the original circle's circumference.
The factors of 15 are 1, 3, 5 and 15. Now, as 1 is neither prime and nor a composite number (1 is not Prime because for a number to be a prime, it should have exact 2 factors i.e. 1 and itself, but 1 has only one factor. Therefore 1 is not prime.)
So the smallest prime factor of 15 is 3.
Hope this helped! :)