Answer:
(4, 3)
Step-by-step explanation:
If a point O(x, y) divides a line segment AB with end points at A(
) and B(
) in the ratio of n:m, then the location of O is at:
Given that Nates house is located at (-2,4) while the park is located at (10,2). Macs house if it is 1/2 of the distance from Nates house to the park (that is in the ratio of 1:1). Let (x, y) be the coordinate of Macs house, therefore:
The location of Macs house is (4, 3)
Answer:
Step-by-step explanation:
We can subtract the first equation from the second to find the value of 
, although we can also do this vice versa.
Now, we can use substitution to solve for 
:
(pick any equation for substitution)
Hope this helps :)
Answer:
70 m
Step-by-step explanation:
AB makes a 30-60-90 triangle with the wall.
AC makes a 45-45-90 triangle with the wall.
In a 30-60-90 triangle, the short leg (opposite of the 30° angle) is half the hypotenuse.
In a 45-45-90 triangle, the legs are the same length.
So the distance between the left wall and the laser is 60/2 = 30 m.
The distance between the right wall and the laser is 40 m.
The total distance is therefore 70 m.
