3 years ago

What is the solution set for this linear-quadratic system of equations?

Mathematics

1 answer:

Ilya [14]3 years ago

7 0

(4,0) (o,3) 1727/!/818281

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Which expression can be used to convert 22 Australian dollars to US dollars

PolarNik [594]

<h2>Answer</h2>

The expression is

$AUD/1.38 = USD$

<h2>Explanation</h2>

Step by step conversion is as following;

1 USD = 1.38 AUD, or its reciprocal

Where,

1.38 recent currency rate

AUD = Australian dollar

USD = US dollar

So, by rearranging

$1 AUD = 1/1.38 USD$

Then

$22AUD/1.38 = 15.94 USD$

The answer is

$22A UD = 15.94 USD$

7 0

3 years ago

Find the value of x on this triangle

blondinia [14]

Look at the picture.

ΔABD and ΔBCD are similar, therefore:

$\dfrac{y}{5}=\dfrac{11}{y}\ \ \ |\cross\ multiply\\\\y^2=55\to y=\sqrt{55}$

Use Pythagorean theorem:

$x^2=5^2+(\sqrt{55})^2\\\\x^2=25+55\\\\x^2=80\to x=\sqrt{80}\\\\x=\sqrt{16\cdot5}\\\\x=\sqrt{16}\cdot\sqrt5\\\\\boxed{x=4\sqrt5}$