3 years ago

Discover and state the solution for the following System of Equations.

Mathematics

1 answer:

Viefleur [7K]3 years ago

3 0

No solution because they have the same slope.

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raketka [301]

Answer:

$\text{1. } v=16t+\frac{h-c}{t},\\\text{2. }90\:\mathrm{ft/s}, \\\text{3. Cannot be determined}$

Step-by-step explanation:

1. The initial equation given to us is $h=-16t^2+vt+c$ . Rearranging the equation to isolate $v$ , we have:

$vt=16t^2+h-c,\\\boxed{v=16t+\frac{h-c}{t}}$

2. Using the equation we rearranged in part 1, we can substitute given values:

$v=16(3)+\frac{131-5}{3},\\v=48+42=\boxed{90\:\mathrm{ft/s}}$

3. We see from our equation in part 1 ( $v=16t+\frac{h-c}{t}$ ) that when $t=0$ , the denominator of our fraction will be equal to 0. Since we cannot divide by 0, the velocity remains undefined and cannot be determined.

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3 years ago