Answer:
true
Step-by-step explanation:
Answer: B) neither
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Let's isolate y in the first equation. This way we can find the slope.
x-2y = 4
-2y = 4-x
-2y = -x+4
y = (-x+4)/(-2)
y = -x/(-2) + 4/(-2)
y = (1/2)x - 2
This matches with y = mx+b form with m = 1/2 being the slope.
The slope of y = 2x-2 is m = 2
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The slope of the first line is 1/2 and the slope of the second line is 2.
Since the two slopes (1/2 and 2) are not equal, this means the lines are not parallel.
Also, the two slopes do not multiply to -1, so the lines aren't perpendicular either.
This leads to B) neither as the final answer.
Answer:
The bearing is N 55.62° W
Step-by-step explanation:
ship leaves the port of Miami with a bearing of S80°E and a speed of 15 knots.
It then turns 90° towards the south after one hour.
Still maintain the same speed and direction for two hours.
The bearing is just the angle difference from the ship current location to where it started.
Let the speed be km/h
Distance covered in the first round
= 15*1
= 15km
Distance covered in the second round
=15*2
= 30 km
Angle at C = (90-80)+90
Angle at C = 10+90= 100
Let the distance between the port and the ship be c
C²= a² + b² -2abcos
C²= 15²+30²-2(15)(30)cos 100
C²= 225+900+156.28
C²= 1281.28
C= 35.8 km
Using sine formula
30/sin x= 35.8/sin 100
30/35.8 * sin 100 = sinx
0.838*0.9848= sin x
0.8253= sin x
Sin ^-1 0.8253 = x
55.62° = x
The bearing is N 55.62° W
Answer:
7 red shirts
6 green shirts
11 blue shirts
4 yellow shirts
Step-by-step explanation:
Let y represent the number of green shirts.
So y+5 is the number of blue shirts.
And y-2 is the number of yellow shirts.
And we have 5 red shirts.
Therefore,
7+5+y+y-2+y=28
12-2+3y=28
10+3y=28
3y=28-10
3y=18,divde through by 3
y=6
