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guajiro [1.7K]
3 years ago
8

Which expression is equivalent to the given expression? −(1/2y+1/4)

Mathematics
1 answer:
Zigmanuir [339]3 years ago
4 0

-\left(\dfrac{1}{2}y+\dfrac{1}{4}\right)=-\dfrac{1}{2}y-\dfrac{1}{4}=-\dfrac{1\cdot2}{2\cdot2}y-\dfrac{1}{4}=\dfrac{-2y}{4}-\dfrac{1}{4}=\dfrac{-2y-1}{4}\\\\=-\dfrac{2y+1}{4}

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The polynomial 6x2 x − 15 has a factor of 2x − 3. what is the other factor? 3x − 5 3x 5 4x − 5 4x 5
Andrew [12]
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3 years ago
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Can someone help me please
aleksklad [387]

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Answer:

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Step-by-step explanation:

The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...

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The distance formula for the length of that same line is ...

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The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)

_____

<em>Additional comments</em>

There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:

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If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)

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3 years ago
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IgorLugansk [536]

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gulaghasi [49]

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