Help me!!!! Please!!!!! Math!!!!
1 answer:
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Answer:
The required point is, (7, -2)
Step-by-step explanation:
The straight line passing through (0,0) and (2,7) is,
y =
⇒ y = 3.5x --------------(1)
Now, the straight line perpendicular to this line and passing through (0, 0) is
y =
⇒ 7y + 2x = 0 -------------(2)
Let, (h,k) be the required point.
then, it is on the line 7y + 2x = 0
⇒7k + 2h = 0
⇒k = ------------(3)
Again, distance from (0,0) of (h, k) is same as that of (2,7)
⇒
⇒ = 53 [putting the value of k from (3)]
⇒ = 49
⇒h = 7 [since, (h,k) is in 4th quadrant, so,h >0]
So, k = -2 [putting the value of h in (3)]
So, the required point is, (7, -2)
Using the relation between velocity, distance and time, it is found that:
- The rate of the plane in still air is of 140 mph.
- The rate of the wind is of 40 mph.
Velocity is <u>distance divided by time</u>, that is:
A plane traveling with the wind travels 900 miles in 5 hours, hence:
The return trip is against the wind and takes 9 hours, hence:
From the first equation, we have that:
[tex]v_w = 180 - 140 = 40{/tex]
Hence:
- The rate of the plane in still air is of 140 mph.
- The rate of the wind is of 40 mph.
More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569