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2 years ago

<strong>Racionaliza las siguientes expresiones:</strong><br />a) 1-√3/5√2<br />b) 3-√3/3+√3

1 answer:

7 0

$a) \frac{1- \sqrt{3} }{5 \sqrt{2} } = \frac{\sqrt{2}- \sqrt{6} }{10} \\\\
b) \frac{3- \sqrt{3} }{3+\sqrt{3}} = \frac{3\sqrt{3}-3}{6} = \frac{3(\sqrt{3}-1)}{6} =\frac{\sqrt{3}-1}{2}.$

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2 years ago

. The perimeter of a square is 8y – 12. The area of the square is 100 square units. What is the value of y?

evablogger [386]

Answer:

y = 6.5 units

Step-by-step explanation:

Let L be the length of sides of the square.

Given the following data;

Perimeter of square = 8y - 12

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Area of a square = L²

Substituting into the formula, we have;

100 = L²

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2 years ago

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RoseWind [281]

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2 years ago

Six identical squares are cut from the corners and edges of an 80 cm by 50 cm cardboard rectangle. the remaining piece is folded

Anna11 [10]

Check the picture.

let the length of a side of each of the squares removed be x.

The box formed will have dimensions: 80-2x, 50-2x, x(the height)

So the volume can be expressed as a function of x as follows:

f(x)=(80-2x)(50-2x)x= $[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x$

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the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

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solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions

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plug in f(x) these values to see which greater:

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$f(33.333)=(80-66.666)(50-66.666)33.333=$ which is negative because (50-66.666)<0

Answer: 18000 cm cubed

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2 years ago

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Ghella [55]

Option (A) represents the function and its inverse of a function option (A) is correct.

<h3>What is a function?</h3>

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