50 points!
1 answer:
Answer:
Attaching answer for 1 below!!
2. C. -- y=2x+9
3. B. -- y=5/3x+3
Step-by-step explanation:
1. First screenshot below
2. To convert standard equations (Ax+By=C) to slope intercept (y=mx+b), what you do is preform inverse operations on A to both sides (modeled below). Then, the equation will look like this; By= -Ax+C. The last thing you need to do to cancel out B from the y is divide both sides by B, and you'll have your answer. So, I did that exact process with the equation and that's how I got C. Now, when you have no number next to the y, you don't need to divide, so it's a very simple process that way.
-2x+y=9
+2 +2
3. Same process for 2, except this time we divided by 3.
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Answer:
2330.51 miles
Step-by-step explanation:
Given that the speed of the airplane = 610 mph.
The airplane leaves an airport at 9:00 P.M. with a heading of 270 degrees and at 10:00 P.M., the pilot changes the heading to 310 degrees.
So, for 1 hour the plane is heading at 270 degrees and for 3 hours, from 10:00 p.m to 1:00 a.m, the plane is heading at 310 degrees as shown in the figure.
As, distance = time x speed, so
The distance covered at 270 degrees, miles.
The distance covered at 310 degrees, miles.
Total distance covered, d, is the magnitude of the sum of vectors and
as shown in the figure.
The angle between the vectors and
,
degree.
Magnitude of sum of the vectors \vec{d_1} and \vec{d_2},
miles
Hence, at 1:00 a.m, the airplane is at a distance of 2330.51 miles from the airport.
