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3 years ago

Rationalise the following: (Root3-1) / (root3+1)

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

7 0

Answer:

$2-\sqrt{3}$

Step-by-step explanation:

$\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}$

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3 years ago

PLZ HELP MEEEE 40 POINTS!

ASHA 777 [7]

Step-by-step explanation:

We have been given that Jeanie stated that the equation of this line best fit for the scatter plot is $y=\frac{1}{2}x+8$ .

Let us find the slope of the line of best fit using points (2,7) and (4,6) in slope formula.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope of line of best fit}=\frac{6-7}{4-2}$

$\text{Slope of line of best fit}=\frac{-1}{2}$

We can see that slope of line of best fit is $-\frac{1}{2}$ .

Since the equation of a line written in slope-intercept is in form: $y=mx+b$ , where m=slope of line, b= y-intercept.

Upon substituting m= $-\frac{1}{2}$ and coordinates of one point in slope-intercept form of equation we will get,

$6=-\frac{1}{2}\times 4+b$

$6=-2+b$

$6+2=-2+2+b$

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Upon substituting m= $-\frac{1}{2}$ and b=8 in slope intercept form, we will get,

$y=-\frac{1}{2}x+8$

We can see that equation of the line of best fit is $y=-\frac{1}{2}x+8$ . Jeanie got 1/2 as slope of the line of best fit, which is wrong, therefore, Jeanie's equation of the line of best fit is not correct.

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3 years ago

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3 years ago

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