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4 years ago

Is -13 less than f/2

Mathematics

1 answer:

LenKa [72]4 years ago

5 0

Answer:

Yes, -13 is less than f/2.

Step-by-step explanation:

Since we are given a fraction with a variable, it may seem hard at first to find out which number is greater.

First, we have to realise that -13 is a negative number. Any negative number is always equal to less than a positive number.

Whatever number we replace our variable f with, whether it be 2, 3, 9, or 0.00000000000001, we can rest assure that it will be a positive number.

Since positive numbers are greater than negative ones, -13 has to be less than f/2.

If the fraction was negative (- f/2), this would be a nearly impossible question to answer.

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Answer:

y = 6, rendering the coordinate pair: (6,6)

Step-by-step explanation:

We start by writing the equation of the line that passes through two given points on the plane: $(x_1,y_1)$ and $(x_2,y_2)$ beginning with finding the slope of the segment that joints the points using the slope formula: $slope=\frac{y_2-y_1}{x_2-x_1}$

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$slope=\frac{y_2-y_1}{x_2-x_1}=\frac{2-4}{-2-2} =\frac{-2}{-4} =\frac{1}{2}$

Now that we have the slope of the line, we can find the actual equation of the line by using one of the given points, and the "point-slope" form of a line with slope "m" and going through a point $(x_0,y_0)$ - which in our case we defie as one of our given points, let's say (2, 4):

$y-y_0=m\,(x-x_0)\\y-4=\frac{1}{2} (x-2)\\y-4=\frac{1}{2} x-1\\y=\frac{1}{2} x-1+4\\y=\frac{1}{2} x+3$

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$y=\frac{1}{2} x+3\\y=\frac{1}{2} (6)+3\\y=3+3\\y=6$

Therefore, y must be "6".

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