Answer:
Step-by-step explanation:
line 1 m=y2-y1 / x2-x1 [formula for slope ]
m= 0 - (-3) / 8-(-4)
m= 3 /12
m= 1/4 slope of line 1
line2
m = 2-6 / 0-(-1)
m = -4 / 1
m = -4 slope of line 2
line 3
m = -4 - (-7) / -3 - 6
m = 3 / -9
m = - 1/3 slope of line 3
lines 1 & 2 perpendicular b/c they are reciprocals with a sign change :)
lines 1 & 3 neither.. differet slopes and not reciprocals
lines 2 & 3 perpendicular b/c they are reciprocals with a sign change :)
The distance between Car A and car B,When Car A crosses the start line is:
distance =speed car B* time
distance=(15 m/s)(3 s)=45 m
Distance traveled by car A =x, (when the car B is at the same distance from the start line)
time of car A=t
x=10 m/st ⇒ x=10t (1)
Distance traveled by car B=x
time of car B=t-3
x=15(t-3) (2)
With the equations (1) and (2) we make a system of equations:
x=10t
x=15(t-3)
We solve this system of equations:
10t=15(t-3)
10t=15t-45
-5t=-45
t=-45 / -5
t=9
t-3=9-3=6
x=10 t=10 (9)=90
Answer: The time would be 9 seconds for Car A and 6 seconds for car B and the distance would be 90 meters.
Sin= p/h , cos= b/h , tan= p/b
Answer:
{1, 5}
Step-by-step explanation:
the union is all the values in both sets. The only shared numbers in these two sets are 1, and 5. therefore, the union of the sets is {1, 5}
Hope this helps have a great day! <3
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