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3 years ago

An edge of a square has vertices with coordinates (a, b) and (-a,- b). Write expre

Mathematics

1 answer:

Tema [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Value of the edge of the square=d

$d^2=(a^2+b^2+(-a)^2+(-b)^2=2(a^2+b^2)\\\\d=\sqrt{2(a^2+b^2)}\\\\Perimeter=4*d=4*\sqrt{2(a^2+b^2)}\\\\Area=d^2=2(a^2+b^2)\\$

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Sophie [7]

$1)\text{ }N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}$

2) 5.625 mg will be left

Explanation:

1) Half-life = 17.5 days

initial amount of Arsenic-74 = 90 mg

To get the equation, we will use the equation of half-life:

$\begin{gathered} N_t\text{ = N}_0(\frac{1}{2})^{\frac{t}{t_{\frac{1}{2}}}} \\ where\text{ N}_t\text{ = amount remaining} \\ N_0\text{ = initial amount} \\ t_{\frac{1}{2}\text{ }}\text{ = half-life} \end{gathered}$ $N_t\text{ = 90\lparen}\frac{1}{2})^{\frac{t}{17.5}}$

2) we need to find the remaining amount of Arsenic-74 after 70 days

t = 70

$\begin{gathered} N_t=\text{ 90\lparen}\frac{1}{2})^{\frac{70}{17.5}} \\ N_t\text{ = 5.625 mg} \end{gathered}$

So after 70 days, 5.625 mg will be left

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lesantik [10]

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