Two quantities, x and y, are directly proportional. If x is doubled, what happens to y?
2 answers:
Answer:
y is also doubled.
Step-by-step explanation:
Direct proportionality between and
means that
or
,
which indicates a linear relationship between and
because they are related by a constant.
Therefore, if x is doubled, then the new value of is
The new value of is 2 times the previous; therefore,
is doubled as
is doubled.
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Answer: 90 degrees clockwise
This is equivalent to 270 degrees counterclockwise
The rule for either rotation is
The x and y coordinates swap places, and the new second coordinate flips from positive to negative (or vice versa).
The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).
Answer:
<em>The order of subtraction is not important in any of the coordinates</em>
Step-by-step explanation:
Distance Between Two Points
Given two points (x1,y2) (x2,y2), the distance between them is given by the formula
The difference between both coordinates is squared, then added, and finally extracted the square root.
Based on the principle that
and also
We can notice it doesn't matter the sign of a the square of a is always positive. If we had subtracted in the opposite way, the distance would have resulted in exactly the same. In other words, the above formula is exactly the same as
As seen, it applies for both coordinates