PLEASE HELP Zane has built a large firework type rocket to shoot off north table mountain. Zane wants to know the height the rocket will reach and the time until the rocket hits the ground. he knows the force of gravity is -10m/sec^2, the initial velocity of the rocket is 50m/s and the height of north table mountain is 400 meters. he also knows the rocket flight will be parabolic which can be modeled by a quadratic function. What's the quadratic function in standard form? And how many seconds till it hits the ground?

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step-by-step explanation:

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form