Answer:
p = (0.5 , 5)
Step-by-step explanation:
D(-6 ,4) E(7 ,6)
For the line FP to be a median, the point p must have the intermediate value at x and at y between points D and E
p = (Dx + Ex)/2 , (Dy + Ey)/2
p = (-6 + 7)/2 , (4 + 6)/2
p = 1/2 , 10/2
p = (0.5 , 5)
This is because for a medium to be the point p has to be right in the middle of the other 2 vertices
The chosen topic is not meant for use with this type of problem. Try the examples below.
y = x+4
y = 2x-5
y = x-1
The distance between the points (d) is found using the Pythagorean theorem.
Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65 ≈ 8.1
The distance between the points is
C 8.1_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.
D. 10^6 = 1000000 x 2 = 2000000 x 800.5 = 1601000000 = 1.601 x 10^9
It is 9:4.
Reason: divide both numbers by a common multiple, which is 7.