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3 years ago

The side lengths of the Australian flag are in a ratio of 1:2. If the flag is 5 feet long, what is it’s height?

Mathematics

1 answer:

jonny [76]3 years ago

6 0

height:length

1:2

x feet: 5 feet

You know the length and the ratio of the dimensions. From the ratio you know that the length is twice the height. So height = 5/2 = 2.5 ft.

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3 years ago

The permitir of the garden is (6x+2) units. Find the length of the missing side .

Snezhnost [94]

Answer: ? = x + 1

Step-by-step explanation:

The perimeter of the garden is x + 3x + 1 + x + ?

The perimeter of the garden is also (6x + 2)

Therfore:

x + 3x + 1 + x + ? = 6x + 2

Collect like terms:

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Subtract 5x from both sides:

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3 years ago

Please solve this equations y=6x²-5,y=17x-6/x

Amiraneli [1.4K]

Answer:

$x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31$

Step-by-step explanation:

$y=6x^2-5\\y=17x-\frac{6}{x}$

Let's substitute the first equation into the second one.

$6x^2-5=17x-\frac{6}{x}$

$6x^3-17x^2-5x+6=0$ - Multiply by $x$ and bring all the terms to one side.

I'll use my graphical calculator to solve this but you could factor:

$x=3\\x=0.5\\x=-0.67$ (All rounded to 2 decimal places)

Now we can substitute these $x$ values into an equation for $y$ .

$y=6x^2 - 5$

$x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31$

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2 years ago