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Aleonysh [2.5K]
3 years ago
7

Need help in this mathquestion. The function h(x)=(x+2)^2 can be expressed in the form f(g(x)) where f(x)=x^2 , and g(x) is defi

ned below:
Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

In a nutshell, g(x) = x+2.

Step-by-step explanation:

A composition is operation between function that consist in replacing the independent variable of the first function, f(x) in this case, for g(x). Common notations for composition between functions are f(g(x)) and f\circ g (x). If we know that h(x) = f\circ g (x) = (x+2)^{2} and f(x) = x^{2}, then g(x) = x+2.

In a nutshell, g(x) = x+2.

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Find the length of CD shown in red below. Show all work.
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By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

<h3>How to calculate the length of an arc</h3>

The figure presents a circle, the arc of a circle (s), in inches, is equal to the product of the <em>central</em> angle (θ), in radians, and the radius (r), in inches. Please notice that a complete circle has a central angle of 360°.

If we know that θ = 52π/180 and r = 6 inches, then the length of the arc CD is:

s = [(360π/180) - (52π/180)] · (6 in)

s ≈ 32.254 in

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

<h3>Remark</h3>

The statement has typing mistakes, correct form is shown below:

<em>Find the length of the arc EF shown in red below. Show all the work.</em>

To learn more on arcs: brainly.com/question/16765779

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2 years ago
Which equation results from taking the square root of both sides of (x 9)2 = 25? x 3 = ±5 x 3 = ±25 x 9 = ±5 x 9 = ±25.
kow [346]

The equation which is results from taking the square root of both sides of the provided equation is,

(x+9)=\pm5\\

<h3>What is the square root?</h3>

A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Let a number is <em>a. </em>Then this number in the form of square root can be written as,

a=\sqrt{a}\times \sqrt{a}

The given algebraic equation in the problem is,

(x+ 9)^2 = 25

Take the square root, in both sides,

\sqrt{(x+ 9)^2} = \sqrt{25}\\\sqrt{(x+ 9)^2} = \sqrt{5^2}

Cancel out the square root with the square of the number as,

(x+9)=\pm5\\

Hence, the equation which is results from taking the square root of both sides of the provided equation is,

(x+9)=\pm5\\

Learn more about the square root of number here;

brainly.com/question/664132

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Answer:

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Step-by-step explanation:

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The point-slope form of the equation of a line that passes through points (8. 4) and (0, 2) is y-4 = (x-8). What
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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