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3 years ago

Solve for a: │a – 6│=10

Mathematics

1 answer:

nordsb [41]3 years ago

7 0

Answer:

$\huge\boxed{a=-4\ \vee\ a=16}$

Step-by-step explanation:

$|a|=b\iff a=b\ \vee\ a=-b\\\\=======================\\\\|a-6|=10\iff a-6=10\ \vee\ a-6=-10\\\\\text{add 6 to both sides of the equations}\\\\a-6+6=10+6\ \vee\ a-6+6=-10+6\\\\a=16\ \vee\ a=-4$

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3 years ago

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iren [92.7K]

Answer:

$y = \frac{22-x}{2}$

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Step-by-step explanation:

Here, the Perimeter of the flower garden is given as

22 = 2 y + x

: where, y : Length of the garden

and x : Width of the garden .

Now, solving for y in the above expression,we get

22 = 2 y + x ⇒ 22 - x = 2 y

or, $y = \frac{22-x}{2}$

Now, when the width (x) = 2 feet

Length of the flower bed $y = \frac{22-x}{2} = \frac{22-2}{2} = \frac{20}{2} = 10$

or, x = 10 ft

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when the width (x) = 3 feet

Length of the flower bed $y = \frac{22-x}{2} = \frac{22-3}{2} = \frac{19}{2} = 9.5$

or, x = 9.5 ft

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when the width (x) = 4 feet

Length of the flower bed $y = \frac{22-x}{2} = \frac{22-4}{2} = \frac{18}{2} = 9$

or, x = 9 ft

⇒For, the width = 4 ft, the length of the flower bed = 9 ft.

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3 years ago