Answer:T=1
Step-by-step explanation:
F(5) is like X is 5
you just do this
f(5)=-2x+1
=-2(5)+1
=-10+1
= -9
:D
Answer:
2 km/h
Step-by-step explanation:
Let
Rate of river current = x km/h
Speed of Peter's boat = 4x km/h
He takes 15 km trip up (opposite direction)
His speed upstream = 4x - x
= 3x
His speed is 3x and distance is 15 km
Time = Distance / Speed
15/3x
= 5/x
And
Moving downstream (same direction)
Speed will be 4x + x = 5x
Distance = 15km,
speed = 5x
Time = Distance / Speed
= 15/5x
= 3/x
Total time take for trip = 4 hours
Total time take for trip = upstream + downstream
4 =5/x + 3/x
4 = 8/x
Cross product
4 * x = 8
x = 8/4
x = 2
Rate of river current = x km/h
= 2 km/h
Let us use the Pythagorean theorem in identifying what triangle can be formed.
Let us assume that the 2 wooden dowels each measure 8 inches. We cut off one wooden dowel into half, so it becomes 2 pcs of 4 inches each.
The 3 wooden dowels now measure, 4 inches, 4 inches, and 8 inches.
The Pythagorean theorem states:
a² + b² = c²
4² + 4² = 8²
16 + 16 = 64
34 ≠ 64
The measure of the cut wooden dowel must be longer than the uncut wooden dowel to create a triangle.
I also tried this on a piece of paper, I cut each piece according to the assumed measure. No triangle can be formed under this activity.
