D. The y-intercept does not matter when figuring out when lines are perpendicular to each other. The slopes have to be the complete opposites of each other. That means that if one slope is negative, the other is positive, and you have to flip the numerator and denominator of a fraction. If it is a whole number, the new numerator would be 1 and that number would be the denominator
Answer:
m=-4k + 3f -7
Step-by-step explanation:
-5m = 20k - 15f + 35
Divide both sides by -5
Answer:
See below.
Step-by-step explanation:
I can do this but it's a pretty long proof. There might be a much easier way of proving this but this is the only way I can think of.
Write tan A as s/c and sec A as 1/c ( where s and c are sin A and cos A respectively).
Then tanA+ secA -1/ tanA - secA+1
= (s/c + 1/c - 1) / ( sc - 1/c + 1)
= (s + 1 - c) / c / (s - 1 + c) / c
= (s - c + 1) / (s + c - 1).
Now we write the right side of the identity ( 1 + sin A) / cos A as (1 + s) / c
So if the identity is true then:
(s - c + 1) / (s + c - 1) = (1 + s) / c.
Cross multiplying:
cs - c^2 + c = s + c - 1 + s^2 + cs - s
Simplifying:
cs - c^2 + c = cs - (1 - s^2) + c + s - s
Now the s will disappear on the right side and 1 - s^2 = c^2 so we have
cs - c^2 + c = cs - c^2 + c.
Which completes the proof.
Answer:
20 ways
Step-by-step explanation:
6C3 = 20
(A,B,C)
(A,B,D)
(A,B,E)
(A,B,F)
(A,C,D)
(A,C,E)
(A,C,F)
(A,D,E)
(A,D,F)
(A,E,F)
(B,C,D)
(B,C,E)
(B,C,F)
(B,D,E)
(B,D,F)
(B,E,F)
(C,D,E)
(C,D,F)
(C,E,F)
(D,E,F)
To divide fractions:
Flip the second fraction
Multiply the numerators
Multiply the denominators
Simplify
2/9*10/9
2*10=20
9*9=81
20/81
Hope this helps!!