Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent. 2 parallel horizontal lines are interse

Answer:

The solutions are (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

Step-by-step explanation:

We start with the equations:

and

Rearranging the second equation to make y the subject results in;

Substituting into the first equation gives us:

and

The solutions remain as (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

Answer:2688.63 miles

Step-by-step explanation:

Given

The distance from Paris to Los Angeles

Wind traveling at 100 mph from Los Angeles to Paris

The velocity of the plane through still air is

Relative velocity of Plane A is since Plane A is heading against the wind

Relative velocity of Plane B is

Plane A departs at noon

Distance covered by Plane A in 1 hour

The total separation distance between the planes is

Assuming they meet after t hours

Distance covered by Plane B in that time frame

Distance traveled by Plane A in t hours is

The total distance equals 4550 miles

Distance traveled by B is

thus, they meet at a point 2688.63 miles away from Los Angeles.