1) Option A
F = m*a This is the second Law of Newton
2) option J
d = √ [a^2 + b^2 ]
That is the application of Pythagorean theorem, which applys for right triangles.
3) Use sine ratio
sin (30°) = opposite-leg / hypotenuse
=> opposite-leg = hypotenuse * sin(30°)
opposite-leg = f(h)
hypotenuse = h
sin(30°) = 1/2
=> f(h) = h * 1/2
=> option c. f(h) = (1/2)h
4) The formula for the volume of a cylinder is V = area of the base * height
Here area of the base = π(r^2)
height = 2r
=> V (r) = 2π(f^3) <----- option G.
5) The slope - y -intercept function of the line is y = mx + b where m is the slope and b is the y-intercept.
In this problem m = c and b = d
So, the answer is y = cx + d <------ option B.
6) Use the formula speed = distance / time => time = distance / speed
=> f(x) = x / m < ------ option J
7) Use the equation of the distance
distance^2 = (x - x1)^2 + (y - y1)^2
given y = 2x + 7 and (x1,y1) = (3,0)
=> distance^2 = (x - 3)^2 + ( 2x + 7 - 0)^2
=> distance^2 = (x - 3)^2 + (2x + 7)^2
=> f(x) = √ [ (x - 3)2 + (2x + 7)^2 ] <------- option D
