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3 years ago

5

Simplify the radical expressions pleaseeeeee help I haven’t done algebra in 2 years

1 answer:

sweet [91]3 years ago

6 0

For the first one, simplify the radicals. The 3 root 8 can be rewritten as 3 root 4 root 2, which turns into 6 root 2. The 4 root 3 can’t be simplified, so just multiply. 6*4=24 and the root 2*root 3 turns into root 6. So your answer for the first one is 24 root 6.

For the next one you can’t have a radical in the denominator so just multiply by root 3/ root 3, which gives you 6 root 3/3 which simplifies into 2 root 3.

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Perpendicular

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Step-by-step explanation:

Given

$A = (-4, 8)$

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$D = (-2, 13)$

Required

Is AB and CD parallel?

First, we need to calculate the slope (m) of AB and CD

$m = \frac{y_2 - y_1}{x_2 - x_1}$

For AB:

$A (x_1,y_1)= (-4, 8)$

$B(x_2,y_2) = (4, 10)$

So:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

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For CD:

$C(x_1,y_1) = (1, 1)$

$D(x_2,y_2) = (-2, 13)$

So:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{13 - 1}{-2 - 1}$

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For Lines to be parallel, the slope must be equal:

i.e. $m_1 = m_2$

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$\frac{1}{4} \neq -4$

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$m_1 = -\frac{1}{m_2}$

This implies:

$\frac{1}{4} = -\frac{1}{-4}$

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$\frac{1}{4} = \frac{1}{4}$

<em>Hence, the lines are perpendicular</em>

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