This is the diagram to the question above.
Answer:
(x-4) (x-4)
Step-by-step explanation:
foil [first, outside, inside, last]
x^2 -8x = 16
(x-4) (x-4) = x^2 -4x -4x +16 = x^2 -8x +16
Answer:
9 < x < 17 is the possible length of the third side of a triangle.
Step-by-step explanation:
The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.
Given the two sides of the triangle
Let 'x' be the length of 3rd size.
According to the Triangle Inequality theorem,
The difference of two sides < x < The sum of two sides
13 - 4 < x < 13+4
9 < x < 17
Therefore, 9 < x < 17 is the possible length of the third side of a triangle.
Let s = northbound train
Then
2s = southbound train
:
Distance = time * speed
4s + 4(2s) = 600
:
4s + 8s = 600
:
12s = 600
:
s = 600/12
:
s = 50 mph is the northbound train
Then
2(50) = 100 mph is the southbound train
:
:
Check:
4(50) + 4(100) = 600
