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3 years ago

Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.

Mathematics

1 answer:

GREYUIT [131]3 years ago

8 0

Answer:

Step-by-step explanation:

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What is the standard deviation of the following data set rounded to the nearest tenth 3,17,18,15,12,21,9

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Rationalize the denominator of \frac{1 \sqrt{3}}{1-\sqrt{3}}. When you write your answer in the form A B\sqrt{C}, where A, B, an

kobusy [5.1K]

Answer:

The value of ABC is 6.

Step-by-step explanation:

Consider the expression

$\frac{1+\sqrt{3}}{1-\sqrt{3}}$

Rationalize the denominator.

$\frac{1+\sqrt{3}}{1-\sqrt{3}}\times \frac{1+\sqrt{3}}{1+\sqrt{3}}$

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

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

$\frac{1+3+2\sqrt{3}}{-2}$

$\frac{4+2\sqrt{3}}{-2}$

$\frac{4}{-2}+\frac{2\sqrt{3}}{-2}$

$-2-\sqrt{3}$ ..... (1)

The answer in the form

$A+B\sqrt{C}$ .... (2)

On comparing (1) and (2), we get

$A=-2,B=-1,C=3$

We need to find the value of ABC.

$ABC=(-2)(-1)(3)=6$

Therefore the value of ABC is 6.

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3 years ago

Write an equation to represent the following statement.

Stells [14]

Step-by-step explanation:

"Is" means equals. "Less than" means subtracted from.

28 = k - 12

Add 12 to both sides to solve for k:

k = 40

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