If a certain cannon is fired from a height of 9.1 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, in seconds, is found by the function h(t) = -4.9t² + 27.5t + 9.1. find the time it takes for the cannonball to strike the ground. the cannonball will strike the ground after about seconds.(type an integer or a decimal. round to the nearest hundredth as needed.)  

The cannonball will hit the ground after about 5.926 seconds.

Step-by-step explanation:

h(t) = -4.9t² + 27.5t + 9.1

If you graphed the function on a graph, the cannonball would be hitting the ground when the function crossed the x-axis at 0. So, to solve this arithmetically, you just need to set h(t) equal to 0.

-4.9t² + 27.5t + 9.1 = 0   Plug this into a calculator if you have one, if not solve with the quadratic formula.

t = -.0313

t = 5.9256

Since time can't be negative, you know your answer will be 5.926 seconds.

t =5.93 seconds

Step-by-step explanation:

h(t) represents the height of the cannon ball.  Zero is when the ball will hit the ground.    Substitute zero for h(t).

0 = -4.9t² + 27.5t + 9.1

This is a complicated quadratics, so we will need to use the quadratic formula to solve

-b ± sqrt(b^2 -4ac)

  2a

where a = -4.9   b = 27.5   and c = 9.1

-27.5  ± sqrt(27.5 ^2 -4 (-4.9) 9.1)

  2(-4.9)

-27.5  ± sqrt(756.25 +178.36)

  -9.8

-27.5  ± sqrt(943.61)

  -9.8

-27.5  ± 30.57139186

  -9.8

3.071391856/-9.8   or  -58.07139186/-9.8

-.313407332  or  5.925652231

But time cannot be negative,  the ball cannot land before it takes off,

so t= 5.925652231 seconds

Rounding to the nearest hundredth

t =5.93 seconds

the final function for the graph becomes x-2=-1. before graphing you solve the equation, where x=1. then graph accordingly.   ( on the x-axis, 1 on the line will possess a vertical line.)

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column