Alarge explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 160 feet per second. the function h(t) = 160 t − 16 t 2 160t-16t2 gives the height of the falling debris above the ground, in feet, t t seconds after the explosion.
a. use the given polynomial to find the height of the debris 2 second(s) after the explosion.
b. factor the given polynomial completely.

a) The debris was 256 feet  into the air after 2 seconds of the explosion.

b)

Step-by-step explanation:

We are given the following in the question:

Initial Velocity =  160 feet per second

The above function gives the height in feet and t is seconds after the explosion.

a) Height of the debris 2 second(s) after the explosion.

We put t = 2 in the above function

Thus, the debris was 256 feet  into the air after 2 seconds of the explosion.

b) Factor the polynomial

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

i'm assuming that it's c.)   volcanoes built the mountains and earthquakes tore them down.