Answer:
Step-by-step explanation:
The final answer is n^2+ 2r -2n+ 7~
Answer with explanation:
The equation of any line with slope 'm' and passing through any point
is given by

As we know that the general equation of a line with slope 'm' is 
Comparing with the given equation
we can conclude slope of the given line is 
Now we know that the product of slopes of perpendicular lines is -1
Mathematically we can write for perpendicular lines

Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular

Hence using the given and the obtained values the equation of the required line is

Part b)
The angle of intersection between 2 lines with slopes
is given by

Comparing the equations of given lines

with the standard equation we get

Thus the angle of intersection becomes

The estimated lengths are 12in. and 5 in. This would be an estimated difference of 7in.
The estimated difference is going to be higher than the actual difference because in rounding 11.7 to 12, you are losing .30in, but in rounding down 5.25 to 5, you are actually gaining .75in.
The ACTUAL difference is 6.45in
27
you multiply .30 times 90 and you get 27