The slope of the perpendicular line is -1/m.
it passes through the point (a,c) therefore:-
y - c = -1/m(x - a)
y = -1/m x + a/m + c answer
Parallel line:-
c = m(a) + b
b = c - ma
y = mx + c - ma Answer
Answer:
4
Step-by-step explanation:
If you add up all of those, you get 24. Then you divide by 6. 24/6 = 4.
Answer:
x=-2
Step-by-step explanation:
-4x - 8 = -4 • (x + 2)
Answer:
a) 
b) (a,b) (c, d) As long as (a,b) and (c,d) are the endpoints of of the diameter.
Step-by-step explanation:
a)
1) The reduced formula of the Circumference is given by:
2) Let's expand the factored one into one closer to the pattern above:
3) Completing the square for both trinomials:
4) In the Reduced Formula, ,
b) Using the previous example to show this:
When we factor this way
We are indeed, naming "a" and "b", the coordinates of (a, b) of the first endpoint and "b" and "d" the second endpoint as well.Id est, D (2, 5) and B (6,-11).
The radius, is 
So yes, the equation of the circle can be written as
As long as (a,b) and (c,d) are the endpoints of of the diameter.
Answer:
s=15
r=10
Step-by-step explanation:
What we know)
The measure of a line is 180º
If two parrel lines are cut by a transversal, the corresponding angles are congruent (corresponding angles postulate)
What we can figure out)
The angle measuring 3r+3s and 6r+3s are on the same line, so
3r+3s+6r+3s=180
3r+3s and 6r+s are corresponding, so
3r+3s=6r+s
Solve)
Now, we just need to solve the equations.
3r+3s+6r+3s=180 can be condensed into 9r+6s=180 by combining like terms. Then, you can divide by 3 to get 3r+2s=60
3r+3s=6r+s can be turned into 2s=3r by subtracting 3r and s.
So we have 3r+2s=60 and 2s=3r
We can substitute 2s for 3r
2s+2s=60
4s=60
s=15
Then, we can plug s=15 into the equation
2(15)=3r
30=3r
r=10
