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Murljashka [212]
3 years ago
8

What is the square root of four

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Answer:

It is +2 or since (+2)*(+2 ) gives. If you think that it would be (-2) also then you are wrong because root of a positive rational number is always positive number.

Step-by-step explanation:

Let the square root of four be ‘k’.

Then we have

(4)^1/2=k

(Squaring both sides)

4=(k)^2

=>(k)^2–4=0

=>(k)^2-(2)^2=0

=>[k+2][k-2]=0 {since (a)^2-(b)^2=(a+b)(a-b)}

if product of two numbers is 0 then either of one must be zero.

If k+2=0 then k=-2

If k-2=0 then k=2

From here we got two answers but -2 should be omitted because when we square an equation we add “root extra”which means that when we square an equation one root is added.

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Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts?
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<h2>Hello!</h2>

The answer is:

C) They both have the same y-intercept.

<h2>Why?</h2>

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- Finding the equation of the g(x):

Calculating the slope of the function, using the first two points (-1,8) and (1,0), we have:

m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{0-8}{1-(-1)}=\frac{-8}{2}=-4

Now, calculating the value of "b" using the first point (-1,8)  and the slope of the function, we have:

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So, the equation of g(x) is:

y=-4x+4

- Comparing the y-intercepts of f(x) and g(x):

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We have that the function f(x) has its y-intercept at "y" equal to 4.

Finding the y-intercept of g(x), by making "x" equal to 0, we have:

y=-4x+4

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Hence, we have that both functions have their y-intercepts at the same point, so, the correct option is:

C) They both have the same y-intercept.

Have a nice day!

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