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3 years ago

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Sarah's age is four more than twice her brothers age. Write two equivalent algebraic equations that can be used to find their ag

es.

1 answer:

marissa [1.9K]3 years ago

3 0

Answer:

Step-by-step explanation:

Let her brother's age be x

Sarah is 2x + 4

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Then,

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Recall that from part A,

$v(t)= \frac{dx}{dt} =-kv^2t+v_0 \\ \\ \Rightarrow dx=-kv^2tdt+v_0dt \\ \\ \Rightarrow\int dx=-kv^2\int tdt+v_0\int dt+a \\ \\ \Rightarrow x=- \frac{1}{2} kv^2t^2+v_0t+a$

Now, at initial position, t = 0 and $v=v_0$ , thus we have

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Thus,

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$- \frac{1}{2k} + \frac{2}{k} +a-a \\ \\ = \frac{2}{k} - \frac{1}{2k} = \frac{3}{2k}$

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