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d1i1m1o1n [39]
3 years ago
12

Find the domain of - y/(y-6) +15/(y+6) - y-10/y^2+3

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.

Given function is,

If Domain (input values) of this function is,

{-12, -6, 3, 15}

Table for the input-output values of this function,

x        -6         3        15       -12

y        11         5         -3        15

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The diagonal length of a rectangular playing field is 76 feet, and its width is 48 feet. How long is the playing field?
Sauron [17]

The length of playing field is 58.9 feet

<u>Solution:</u>

Given that, the diagonal length of a rectangular playing field is 76 feet,  

And its width is 48 feet.  

<em><u>To find: length of playing field</u></em>

Now, we know that, <em>diagonal, width and length of a rectangle will form an right angle triangle with diagonal as hypotenuse. </em>

So, now, in a right angled triangle  we can use pythagorean theorem to find the length

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition, In a right angled triangle ABC we get

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\begin{array}{l}{\text {Then, diagonal = width }^{2}+\text { length }^{2}} \\\\ {76^{2}=48^{2}+\text {length }^{2}} \\\\ {\text {Length }^{2}=76^{2}-48^{2}} \\\\ {\text {Length }^{2}=5776-2304}\end{array}

\begin{array}{l}{\text { Length }^{2}=3472} \\\\ {\text { Length }=\sqrt{3472}} \\\\ {\text { Length }=58.92}\end{array}

Hence, the length of the rectangular field is 58.9 feet

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