Mathematics: Find a single expression that represents the area of the outer ring of the circle if the area of the whole circle is represented by the expression 25x2 − 12x − 9.

Find a single expression that represents the area

Ответ:

Reese8693

11.03.2022

Mathematics

The answer is $A_o=2\pi\sqrt{\dfrac{7}{22}(25x^2-12x-9)}.$

Step-by-step explanation: Given that the area of the whole circle is represented by the expression

A_c=25x^2-12x-9.

We are to find the area of the outer ring of the circle, i.e., to find the circumference of the circle.

Now, if 'r' represents the radius of the circle, then we have

$A_c=\pi r^2\\\\\Rightarrow \dfrac{22}{7}r^2=25x^2-12x-9\\\\ \Rightarrow r^2=\dfrac{7}{22}(25x^2-12x-9)\\\\\Rightarrow r=\sqrt{\dfrac{7}{22}(25x^2-12x-9)}.$

Thus, the area of the outer ring is

$A_o=2\pi r=2\pi\sqrt{\dfrac{7}{22}(25x^2-12x-9)}.$

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Ответ:

emojigirl2824

19.01.2021

Mathematics

x = 16, y = -16

x = -16, y = 16

Step-by-step explanation:

|x| =16 ---> x = -16 or x = 16

|y| =16 ---> y = -16 or y = 16

it is given that x + y =0,

If x = -16, then

-16 + y = 0 or y = 16

hence x = -16 and y = 16 is one possible combination for the values of x and y

If x = 16, then

16 + y = 0 or y = -16

hence x = 16 and y = -16 is another possible combination for the values of x and y

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Find a single expression that represents the area of the outer ring of the circle if the area of the whole circle is represented by the expression "25x2 − 12x − 9."

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