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3 years ago

Rationalize root six divided by root three minus root two.

Mathematics

1 answer:

Anni [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Let's first divide the two roots of $\sqrt{6}$ and $\sqrt{3}$ .

$\sqrt{\frac{6}{3} }$

$\sqrt{2}$

Now, $\sqrt{2}$ - $\sqrt{2}$ = 0.

So, this equation comes out to be 0.

Hope this helped!

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How to find the length of the hypotenuse of a line segment?

MakcuM [25]

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3 years ago

Determine the factors of x2 − 7x − 10. (5 points) a (x + 2)(x − 5) b Prime c (x − 2)(x + 5) d (x + 10)(x − 1)

Savatey [412]

For this case we must factor the following expression:

$x ^ 2-7x-10$

To factor, we must find two numbers that when added together give -7 and when multiplied by -10.

It is observed that there are not two whole numbers that comply with the aforementioned.

Thus, the following equation applies:

$x = \frac {-b \pm\sqrt{b ^ 2-4 (a) (c)}} {2 (a)}$

Where:

$a = 1\\b = -7\\c = -10$

We replace:

$x = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (1) (- 10)}} {2 (1)}\\x = \frac {7 \pm \sqrt {49 + 40}} {2}\\x = \frac {7 \sqrt {89}} {2}$

So, the roots are:

$x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}$

Answer:

$x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}$

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3 years ago

The equation of the graph line is 2X-3Y=12

Klio2033 [76]

Answer:

A. -4

Step-by-step explanation:

For solving for x intercepts analytically. You can set the the y in the equation to 0. So, 2x-3(0)=12, and solving for x will get you -4.

You can also solve graphically by plugging in the equation and looking at where it intercepts the x axis.

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