Parallel: the lines have = slopes. We thus need 5/6 to equal 2/p. then 5p must equal 12, and p = 12/5. (answer)
Check: Is 5/6 = 2 / (12/5)? YES
Perp.: The lines have slopes that are negative reciprocals of one another.
Then -6/5 = 2/p, or
-6 2
---- = ----
5 p Thus, -6p = 10, and p = -5/3 (answer)
⅓x² +11x-75<105
⅓x² +11x-75-105<0
⅓x² +11x -180<0
x² +33x - 540<0
(x+45)(x-12)<0
(x-12)<0 or (x+45)>0
x<12 or x >-45
answer is A
From 1st equation
d + e = 2
d = 2 - e
From 2nd equation, subtitute d with 2 - e
d - e = 4
2 - e - e = 4
2 - 2e = 4
-2e = 2
e = -1
Find d
d = 2 - e
d = 2 - (-1)
d = 3
The solution is (3,-1)
Answer:
x=1/2
Step-by-step explanation:
-5(x - 4) + 6 = 5(3x+4) -4
WE APPLY DISTRIBUTIVE PROPERTY:
-5*x +5*4 + 6 = 5*3x +5*4 -4
-5x + 26 = 15x +20 -4
26 +4 -20=15x+5x
10=20x
x= 10/20
we have:
x=1/2
It the answer would be 51.41
