3 years ago

Prove that if xy > 0, then either x > 0 and y > 0 or x < 0 and y < 0

Mathematics

1 answer:

Rufina [12.5K]3 years ago

7 0

The rule of product states that:

$(+) \cdot (+) = (+)$
$(+) \cdot (-) = (-)$
$(-) \cdot (+) = (-)$
$(-) \cdot (-) = (+)$

So, a product is positive if and only if both factors have the same sign, and is negative if only if the factors have opposite sign.

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3 years ago

What are the coordinates of the point on the directed line segment from (-10, -3)(−10,−3) to (2, -3)(2,−3) that partitions the s

azamat

Answer:

the coordinates of the point would be (-2.5,3)

Step-by-step explanation:

We want to split the segment from (-10,-3) to (2,-3) into segments with a ratio of 5:3. Since the y-coordinate is -3 for both coordinates, the y-coordinate of the partitioning point will be -3. The ratio of 5:3 corresponds to 5/8 of the distance between the x-coordinates of the two points. So we would be moving 5/8 of the distance from -10 to 2 for the x-coordinate, so the x-coordinate would be -10 + 5/8 (12) = -2.5. So the coordinates of the point would be (-2.5,3)

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Step-by-step explanation:

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