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natima [27]
3 years ago
9

Please help, thank you.

Mathematics
2 answers:
Gre4nikov [31]3 years ago
8 0
X^2 = 6^2 + 3.5^2
x^2 = 36 + 12.25
x^2 = 48.25
x = sqrt(48.25)
x = 6.946

x = 6.9 mm
rusak2 [61]3 years ago
8 0

{x}^{2}  =  {6}^{2}  +  {3.5}^{2}  \\  {x}^{2}  = 36 + 12.25 \\  {x}^{2}  = 48.25 \\ x = 6.946

After rounding off, answer is 6.9mm

Hope this helps. - M
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Given the function

f\left(x\right)=5\left|x\right|

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We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

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It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

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so

Thus, the range of the function f(x) is:

\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

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