Rui is a professional deep water free diver. His altitude (in meters relative to sea level), x seconds after diving, is modeled by: d(x)=(1)/(2)x^(2)-10 x How many seconds after diving will Rui reach his lowest altitude? seconds

Identify Quadratic Equation: Identify the quadratic equation that models Rui's altitude. The given equation is d(x) = (1/2)x^2 - 10x. This is a quadratic equation in the form of ax^2 + bx + c, where a = 1/2, b = -10, and c = 0.Determine Vertex Time: Determine the x-coordinate of the vertex of the parabola, which will give us the time at which Rui reaches his lowest altitude. The x-coordinate of the vertex of a parabola given by ax^2 + bx + c is found using the formula x = -b/(2a). Here, a = 1/2 and b = -10.Calculate Vertex x-coordinate: Calculate the x-coordinate of the vertex using the values of a and b. x = -(-10)/(2*(1/2)) x = 10/(2*(1/2)) x = 10/1 x = 10Interpret Result: Interpret the result. The x-coordinate of the vertex is 10, which means that Rui will reach his lowest altitude 10 seconds after diving.

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Rui is a professional deep water free diver.
His altitude (in meters relative to sea level),
x seconds after diving, is modeled by:

d(x)=(1)/(2)x^(2)-10 x
How many seconds after diving will Rui reach his lowest altitude?
seconds

Rui is a professional deep water free diver. His altitude (in meters relative to sea level), $x$ seconds after diving, is modeled by: $\newline$ $d(x)=\frac{1}{2}x^{2}-10x$ $\newline$ How many seconds after diving will Rui reach his lowest altitude? $\newline$ $\text{seconds}$

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Q. Rui is a professional deep water free diver. His altitude (in meters relative to sea level),

x

seconds after diving, is modeled by:

\newline

d(x)=\frac{1}{2}x^{2}-10x

\newline

How many seconds after diving will Rui reach his lowest altitude?

\newline

\text{seconds}

Identify Quadratic Equation: Identify the quadratic equation that models Rui's altitude. $\newline$ The given equation is $d(x) = (\frac{1}{2})x^2 - 10x$ . This is a quadratic equation in the form of $ax^2 + bx + c$ , where $a = \frac{1}{2}$ , $b = -10$ , and $c = 0$ .
Determine Vertex Time: Determine the $x$ -coordinate of the vertex of the parabola, which will give us the time at which Rui reaches his lowest altitude. $\newline$ The $x$ -coordinate of the vertex of a parabola given by $ax^2 + bx + c$ is found using the formula $x = -\frac{b}{2a}$ . Here, $a = \frac{1}{2}$ and $b = -10$ .
Calculate Vertex x-coordinate: Calculate the x-coordinate of the vertex using the values of $a$ and $b$ . $x = -(-10)/(2*(1/2))$ $x = 10/(2*(1/2))$ $x = 10/1$ $x = 10$
Interpret Result: Interpret the result. $\newline$ The $x$ -coordinate of the vertex is $10$ , which means that Rui will reach his lowest altitude $10$ seconds after diving.