Answer:
Step-by-step explanation:
Tye length of the ramp can be gotten using Pythagoras theorem.
Horizontal distance = 10ft.
Vertical distance = 3ft
Length of the ramp² = 10²+3²
Length of the ramp² = 100+9
Length of the ramp² = 109
L² = 109
L =√109
L = 10.44ft
Hence the length of the ramp is 10.4ft to the nearest tenth
Answer:
y = |x| + 3.
Step-by-step explanation:
The movement of the y value from 1 to 4 is a translation of 3 units upwards.
The graph is y = |x| + 3.
This does not look easy to factor, so I'd suggest using the quadratic formula:
-1 plus or minus sqrt( 1-4(3)(-5) )
x = -----------------------------------------------
2*3
-1 plus or minus sqrt(61)
= ------------------------------------
6
Thus, there are 2 real, unequal, irrational roots / solutions.
Answer:
The War of 1812 changed the course of American history. Because America had managed to fight the world's greatest military power to a virtual standstill, it gained international respect. Furthermore, it instilled a greater sense of nationalism among its citizens.
Step-by-step explanation:
The maximum number of turning points in a cubic function is 2.
In this case,
The discriminant is
, which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.
