Are the lines 5x-5y=12 and x-y=-3 perpendicular or parallel

Mathematics

1 answer:

Goshia [24]3 years ago

3 0

Parallel both have slope 1

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Use l'Hôpital's Rule to find the following limit. ModifyingBelow lim With x right arrow 0StartFraction 3 sine (x )minus 3 x Ove

steposvetlana [31]

Answer:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=-\frac{1}{14}$

Step-by-step explanation:

The limit is:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{0}{0}$

so, you have an indeterminate result. By using the l'Hôpital's rule you have:

$\lim_{x \to 0} \frac{a(x)}{b(x)}= \lim_{x \to 0} \frac{a'(x)}{b'(x)}$

by replacing, and applying repeatedly you obtain:

$\lim_{x \to 0} \frac{3sinx-3x}{7x^3}= \lim_{x \to 0}\frac{3cosx-3}{21x^2}= \lim_{x \to 0}\frac{-3sinx}{42x}= \lim_{x \to 0}\frac{-3cosx}{42}\\\\ \lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{-3cos0}{42}=-\frac{1}{14}$

hence, the limit of the function is -1/14

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3 years ago

Sixty-five % of the spectators at the basketball game are male and there are 280 female spectators.

notsponge [240]

A). Simply, subtract 100 percent minus 65 percent, which gives you the answer 35 percent.

b). So, to find the total number you add 280 plus 65 percent, which gives you the answer, 462.

c). To find this, simply subtract 462 minus 280, which gives you the answer, 182.

Hope this helps!
♤MidnightQueen

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lana [24]

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Swedish Africa Company

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Kranski’s Island is an amusement park. The park is planning a TV ad campaign. It will run 30-second ads for the next 20 days on

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So basically how I got the answer is I:

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Then I added
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zavuch27 [327]

The answer would be 1)

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