I believe the answers are the following:
5. x = ±3.4641i
6. x = ±7
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Answer: -7g = k
explanation: -7 is the opposite of 7
Supplementary angles always equal 180. Then you just solve from there.
7x+5x+24=180
12x+24=180
-24 -24
12x=156
/12 /12
X=12
Ur independent variable is ur x values....ur dependent variable is ur y values..so if hrs are on the x axis, then ur independent values are ur hrs (or time)....and ur dependent values are ur distance.
(0,0),(2,50)
slope = (50 - 0) / (2 - 0) = 50/2 = 25
y = mx + b
slope(m) = 25
and since u have point (0,0), ur y int (b) = 0
so ur equation is y = 25x + 0 which is written as y = 25x...which is basically saying that he travels 25 miles per hr
how far will he travel in 24 hrs.....so sub in 24 for x
y = 25(24)
y = 600 miles
in summary : The dependent variable is distance, the equation is y = 25x and the dragonfly will fly 600 miles.
8 divided by 1/4 (25%) is 2. Therefor, it would be 10 meters.