Given...
1. Point P is on the line and is 10 units from the origin. Determine the coordinates of P.
I've gotten this far...
So:
.
Then .
Plugging in y...
This is where I'm stuck since I cannot factor it. When the quadratic formula is applied, the number inside the brackets is a negative number.
2. Given...
From a lighthouse, the range of visibility on a clear day is 40km. On a coordinate system, where O(0,0) represents the lighthouse, a ship is travelling on a course represented by . Between which two points on the course can the ship be seen from the lighthouse?
I got this far...
Plugging it in...
Again, I am stuck with the same problem. I get a negative number when the quadratic formula is applied.
What am I doing wrong here? Thank you so much!
N.
Hello, nathan02079!
In your "distance formula", you're square-rooting when you should square.
2. From a lighthouse, the range of visibility on a clear day is 40 km.
On a coordinate system, where O(0,0) represents the lighthouse,
a ship is travelling on a course represented by: .
Between which two points on the course can the ship be seen from the lighthouse?Code:| | * | * Q * | o | * * | P * * | o * | * * * | * *| - - - - - - - - - - - * - - - - |O
and have coordinates such that: .
We want: .
So we have: .
Factor: .
Then: .
The ship can be seen from to