22 POINTS Please solve this fraction as a difference

Mathematics

1 answer:

Ghella [55]3 years ago

3 0

Answer:

$\dfrac{x}{4}-\dfrac{7}{12}$

Step-by-step explanation:

The fraction is the equivalent of ...

$\dfrac{1}{12}{(3x-7)$

and the distributive property applies.

$=\dfrac{1}{12}(3x)-\dfrac{1}{12}(7)\\\\=\dfrac{3\cdot x}{3\cdot 4}-\dfrac{7}{12}\\\\=\dfrac{x}{4}-\dfrac{7}{12}$

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3 years ago

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Please help! Which interval describes where the graph of the function is positive?

cricket20 [7]

Answer:

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Step-by-step explanation:

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A ladder is leaning up against a house. The ladder is 20 feet long and the base of the ladder is 12 feet away from the house. Ho

MrRa [10]

Answer:

16 feet

Step-by-step explanation:

The length of the ladder=20 feet

Distance from the base of the ladder to the house = 12 feet

You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.

To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.

From Pythagoras theorem

$Hyp^2=Opp^2+Adj^2\\20^2=12^2+Adj^2\\Adj^2=400-144\\Adj^2=256\\Adj=\sqrt{256}=16$