Answer:
The coordinates of Ecuador is (7,8)
Step-by-step explanation:
Represent Ecuador with E, Panama with P and Florida with F
Given
F(x1,y1) = (5,16)
P(x,y) = (6,12)
Required
Determine the coordinates of E(x2,y2)
From the question, we understand that P is located at the midpoint of E and F.
Using midpoint formula, we have
(x,y) = (½(x1 + x2), ½(y1 + y2))
Substitute values for x,y,x1 and y2;
This gives
(6,12) = (½(5 + x2), ½(16 + y2))
By direct comparison of expression on both sides
½(5 + x2) = 6
½(16 + y2) = 12
Solving for the first equation
Multiply both sides by 2
5 + x2 = 6 * 2
5 + x2 = 12
Make x2 the subject of formula
x2 = 12 - 5
x2 = 7
Solving the second equation
Multiply both sides by 2
16 + y2 = 12 * 2
16 + y2 = 24
Make y2 the subject of formula
y2 = 24 - 16
y2 = 8
Hence, the coordinate of Ecuador is (7,8)
