Question

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Answer 1

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