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3 years ago

What is 2/9 = 4/x+8 i dont get this fraction solving

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

3 0

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$\frac{2}{9} = \frac{4}{x + 8} \\$

$\frac{4}{x + 8} = \frac{2}{9} \\$

Inverse both sides

$\frac{x + 8}{4} = \frac{9}{2} \\$

Multiply sides by 4

$4 \times \frac{x + 8}{4} = 4 \times \frac{9}{2} \\$

$x + 8 = 2 \times 9$

$x + 8 = 18$

Subtract sides 8

$x + 8 - 8 = 18 - 8$

$x = 10$

Done...

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Let f(x)= x^2-4x-c. Find a nonzero value of c such that f(c)=c.

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Answer:

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Step-by-step explanation:

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$f\left(c\right)=\:c^2-4c-c$

$f(c) = c$

$c=\:c^2-4c-c$

switching the sides

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subtract c from both sides

$c^2-4c-c-c=c-c$

$c^2-6c=0$

$c\left(c-6\right)=0$

Using the zero factor principle

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so, the solutions to the quadratic equations are:

$c=0,\:c=6$

Therefore, a nonzero value of c will be:

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