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3 years ago

The golden ratio is a solution to a quadratic equation.

Mathematics

1 answer:

Crank3 years ago

6 0

Answer:

Below.

Step-by-step explanation:

a. Φ^2 − Φ − 1 = 0

Φ2 − Φ = 1

(Φ - 0.5)^2 - 0.25 = 1

(Φ - 0.5)^2 = 1.25

Φ - 0.5 = √(1.25) (We only take the positive root).

Φ = 0.5 + √(1.25)

b. I used Completing the square.

c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.

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Answer:

options 1 ( E F + F G greater-than E G ), 2 (E G + F G greater-than E F ) and 5 ( E G + E F less-than F G ) are true.

Step-by-step explanation:

Given triangle EFG.

In each tirangle with sides lengths a, b and c, we always have

$a+b>c\\ \\a+c>b\\ \\b+c>a$

In triangle EFG:

$EF+FG>EG;$
$EG+GF>EF;$
$FE+EG>FG.$

So, options 1 ( E F + F G greater-than E G ), 2 (E G + F G greater-than E F ) and 5 ( E G + E F less-than F G ) are true.

Options 3 and 4 are false.

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3 years ago

Read 2 more answers

Explain the steps needed to determine the value of the expression shown below be sure to provide the correct value of the expres

inn [45]

Answer:

-3/2

Step-by-step explanation:

In the picture attached, the complete question is shown.

The expression is:

$\frac{ \frac{1}{2} }{ \frac{-2}{5}} + \frac{-1}{4}$

You can rewrite the first term, expressing the division as a multiplication, that is, inverting the fraction in the denominator, as follows:

$\frac{1}{2} \times \frac{-5}{2}+ \frac{-1}{4}$

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The addition of a negative fraction is simply the subtraction by that fraction:

$\frac{-5}{4} - \frac{1}{4}$

$\frac{-5 - 1}{4}$

$\frac{-6}{4}$

Which can be simplified dividing by two both numerator and denominator:

$\frac{-3}{2}$

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2 years ago

Which graph represent the equation y=-2

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Answer:

The top left graph.

Step-by-step explanation:

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3 years ago

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Answer:

5 carnations in each arrangement

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Step-by-step explanation:

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8 - 3 = 5

Therefore, there are 5 carnations in each arrangement

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1 year ago

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Answer:

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