Trigonometry Examples

$40 = \frac{1}{2} \cdot ((- 32) t^{2}) + 60 t + 120$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $(- 32) t^{2}$ .

$40 = \frac{1}{2} \cdot (2 ((- 16) t^{2})) + 60 t + 120$

Step 1.2

Cancel the common factor.

$40 = \frac{1}{2} \cdot (2 ((- 16) t^{2})) + 60 t + 120$

Step 1.3

Rewrite the expression.

$40 = (- 16) t^{2} + 60 t + 120$

$40 = - 16 t^{2} + 60 t + 120$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$t \approx - 1.04315438, 4.79315438$

Step 3