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Mathematics

1 answer:

Hoochie [10]3 years ago

8 0

A'(1,-2)
B'(1,-3)
C'(-1,-3)
D'(-1,-2)

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Simplify the expression.<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B1%2B%5Csqrt%7B3%7D%20%7D" id="TexFormula1" t

REY [17]

Answer:

Step-by-step explanation:

Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.

Conjugate of the denominator 1 + √3 is 1 - √3

$\frac{6}{1+\sqrt{3}}=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{1^{2}-(\sqrt{3})^{2}}\\\\=\frac{6(1-\sqrt{3})}{1-3}\\\\=\frac{6(1-\sqrt{3})}{-2}\\\\=(-3)(1-\sqrt{3})\\\\=-3+3\sqrt{3}$

3 0

3 years ago

Need help ASAP please and thank you!

erik [133]

Answer:

I believe that the answer is 153 units^2.

9*10=90

And then 9*7=63, since there are two of the same triangle, we don't have to divide by 2.

So, 90+63=153.

I hope this helps!

7 0

2 years ago

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Blizzard [7]

$0.\overline{7}=0.777...\\\\x=0.777...\qquad\text{multiply both sides by 10}\\\\10x=7.777...\\\\\text{Make the difference}\\\\10x-x=7.777...-0.777...\\\\9x=7\qquad\text{divide both sides by 9}\\\\x=\dfrac{7}{9}\\\\Answer:\ \boxed{0.\overline{7}=\dfrac{7}{9}}\\-----------------\\You\ can\ remember\\\\\dfrac{1}{9}=0.\overline{1}\\\\\dfrac{2}{9}=0.\overline{2}\\\\\dfrac{3}{9}=0.\overline{3}\\\\\dfrac{4}{9}=0.\overline{4}\\\vdots\\\\\dfrac{8}{9}=0.\overline{8}$

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2 years ago

What’s the slope of the line through (-9,-6) and (3,-9)

zavuch27 [327]

It might be mmmm idk I’m too dome

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2 years ago

adam hikes from bridgetown to lakeville. Gina starts at the same time, and hikes from Lakeville to Bridgetown on the same road.

IgorC [24]

Answer:

Step-by-step explanation:

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2 years ago