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olga nikolaevna [1]
3 years ago
12

A rectangle with a length 3 cm and width 3n^2-2 cm has an area of -3n cm^2. What value might n have?

Mathematics
1 answer:
aleksley [76]3 years ago
4 0
Area of rectangle could be determined with
a = l × w

plug in the algebraic expression into the formula
l × w = a
3 × (3n² - 2) = -3
9n² - 6 = -3
9n² = -3 + 6
9n² = 3
divide both side by 3
3n² = 1
n² = 1/3
n = \sqrt{ \dfrac{1}{3} }
n = \dfrac{ 1 }{ \sqrt{3} }
Rationalization of root form
n = \dfrac{1 }{ \sqrt{3}} \times \dfrac{\sqrt{3} }{ \sqrt{3}}
n = \dfrac{1}{3}  \sqrt{3}

The value of n is \boxed{\dfrac{1}{3} \sqrt{3}}
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4 years ago
What equation represents an exponential function that passes through the point (2, 80)?
Marina86 [1]

Answer:

f(x) = (4\sqrt{5})^{x}

Step-by-step explanation:

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If the function passes through the point (2, 80), then:

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