The flight of a cannonball toward a hill is described by the parabola y = 2 + 0.12x - 0.002x 2 . the hill slopes upward along a path given by y = 0.15x. where on the hill does the cannonball land?

Question

11-12-2017
Mathematics

contestada

The flight of a cannonball toward a hill is described by the parabola y = 2 + 0.12x - 0.002x 2 . the hill slopes upward along a path given by y = 0.15x. where on the hill does the cannonball land?

Respuesta :

Otras preguntas

If a 35 ft rope is cut into two sections with one section 6 times as long as the other section, how long is the shorter piece?

Is economic equality an attainable goal?

What does the random variable (r) for a binomial experiment of n trials represent?

What are some key words to use in writing and evaluation?

If a store credit account charges 1.5% interest each month, what is the APR?

When this car moves forward by 180 cm, each wheel does one full turn. What is the diameter of the wheels to the nearest centimetre?

Is economic equality an attainable goal?

Six nickels is what percent of one dollar? What percent of $2.00 would it be? Please help.

let f(x)=x+8 and g(x)=x^2 -6x-7. find f(g(2))

W0lf93 W0lf93 · Answer 1 · 2017-12-23T02:36:19+01:00

W0lf93 W0lf93

23-12-2017

To find where on the hill the canonball lands
So 0.15x = 2 + 0.12x - 0.002x^2
Taking the LHS expression to the right and rearranging we have -0.002x^2 + 0.12x -
0.15x + 2 = 0.
So we have -0.002x^2 - 0.03x + 2 = 0
I'll multiply through by -1 so we have
0.002x^2 + 0.03x -2 = 0.
This is a quadratic eqn with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25. The second solution y = 0.15 * 25 = 3.75

Answer Link