Consider the complete question is "The equation of the line
is y=5x+1 and the equation of line
is 2y-10x+3=0. How can you show that these two lines are parallel?"
Given:
Equation of
is
.
Equation of
is
.
To show:
The these line as parallel.
Solution:
We have,
...(i)
...(ii)
Equation (ii) can be written as



...(iii)
Slope intercept form of a line is
...(iv)
where, m is slope and b is y-intercept.
On comparing (i) with (iv), we get slope of line
.
On comparing (iii) with (iv), we get slope of line
.
Since,
, therefore, lines
and
and parallel because slope of two parallel lines are always equal.
Hence proved.
Answer:
Wow - you are asking a LOT of questions. The Monthly Payment Formula is really tricky so I'll solve that for you.
The time of the loan = 20 years * 12 = 240 months
We have to convert the annual rate to a monthly rate and that is done by:
monthly rate = 5.125 / 1,200 = 0.00427083333333333
Monthly pmt = 0.00427083333333333 + [0.00427083333333333 / (1.00427083333333333^240) -1 ] * 420,000
Monthly pmt = 0.00427083333333333 + [0.00427083333333333 / 2.7810190076 -1] * 420,000
Monthly pmt = (0.00427083333333333 +0.0023979718) * 420,000
Monthly pmt = 2,800.90
A calculator to double check is here: https://www.1728.org/calcloan.htm
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
1/2 of 2/3 = 1/3
Answer:
I think Output relationship is 3,-2,3,-2 and Input relationship is -2,3,1,0.