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2 years ago

Hat is the metric system prefix for the quantity 0.000 001?

1 answer:

3 0

In the metric system, you give a name to the following multiples: 10, 100, 1000, 0.1, 0.01, 0.001, and then you skip three places. So, you have

$\left.\begin{array}{cc}\vdots&\vdots\\1000000&\text{mega}\\1000&\text{kilo}\\100&\text{hecto}\\10&\text{deca}\\0.1&\text{deci}\\0.01&\text{centi}\\0.001&\text{milli}\\0.000001&\text{micro}\\\vdots&\vdots\\\end{array}\right.$

And thus 0.000001 of something is a micro-something (i.e. one millionth of a certain unit)

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2 years ago

If x = 4cosa and y = 5tana, find (x^2/16) - (y^2/25)

Cloud [144]

$x = 4 \cos(a)$

$\frac{x}{4} = \cos(a) \\$

$( { \frac{x}{4} })^{2} = ({ \cos(a) })^{2} \\$

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$y = 5 \tan(a)$

$\frac{y}{5} = \tan(a) \\$

$( { \frac{y}{5} })^{2} = ( { \tan(a) })^{2} \\$

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Thus ;

$\frac{ {x}^{2} }{16} - \frac{ {y}^{2} }{25} = \\$

${cos}^{2} (a) - {tan}^{2} (a)$

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2 years ago

The zeroes of f(x) = x3 + 3x2 + 2x are <br> .

Vaselesa [24]

The zeros of the function f(x) = x^3 + 3x^2 + 2x are x = 0, x = -1 and x = -2

<h3>How to determine the zeros of the function?</h3>

The function is given as:

f(x) = x^3 + 3x^2 + 2x

Factor out x in the above function

f(x) = x(x^2 + 3x + 2)

Set the function to 0

x(x^2 + 3x + 2) = 0

Factorize the expression in the bracket

x(x + 1)(x + 2) = 0

Split the expression

x = 0, x + 1 = 0 and x + 2 = 0

Solve for x

x = 0, x = -1 and x = -2

Hence, the zeros of the function f(x) = x^3 + 3x^2 + 2x are x = 0, x = -1 and x = -2

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