First, we'll find the slope of the new line. The first line has a slope of 
. Take the negative reciprocal of this (Flip the numerator and denominator, then multiply by 
) to get 
for the new slope.
Then, we'll use the point-slope form to make the new equation, where 
is the slope and 
is a point on the line:
Step-by-step explanation:
Given equation of circle is,
again the another form of circle is,
now equating the values of f in both equations,
-k=-3
i.e. k=3
therefore k=3
3 quarters (75cents) and 10 nickels (50cents) = 1.25$
All 3 sides of an equilateral triangle are the same.
Set up an equation with two sides equaling each other and solve for n:
2n +15/4 = 7n
Subtract 2n from both sides:
15/4 = 5n
Divide both sides by 5:
n = (15/4) / 5
n = 3/4
Now you have a value for n, replace n and solve for the length:
7n = 7(3/4) = 21/4 = 5 1/4
Each side is 5 1/4
