Answer:
As the points are collinear, the slope of the line joining
any two points, should be same as the slope of the line joining two other
points.
Slope of the line passing through points (x
1
,y
1
) and (x
2
,y
2
) =
x
2
−x
1
y
2
−y
1
So, slope of the line joining (p,0),(0,q)= Slope of the line joining
(0,q) and (1,1)
0−p
q−0
=
1−0
1−q
−
p
q
=1−q
Dividing both sides by q,
−
p
1
=
q
1
−1
=>
p
1
+
q
1
=1
Answer:
12.5 hours
Step-by-step explanation:
The function d(x) = 1375 -110x represents the distance in miles a high-speed train is from its destination after x hours of travel.
So, when the train reaches its destination then d(x) will become zero miles.
Therefore, 0 = 1375 - 110x
⇒ x = 12.5 hours.
So, the train will travel 12.5 hours to reach its destination. ( Answer )
We know that there are two tickets (which we'll represent with x) and a fee for transporation (which is $20)
So we can set up the equation 20+2x=48
We want to isolate x so we'll subtract 20 from each side, which gives us the equation
2x=28
Then divide each side by 2
Giving us the final answer of
x=14
So each ticket costs $14
I got 12 hours and 31 minutes.
