If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
The difference of 7 and 7/8 and 3 1/4 can be restated as the difference between 63/8 and 13/4. This is just a change from mixed numbers to improper fractions.
We must now get a common denominator (the bottom part of a fraction). To get 8, we must multiply by 2 to the denominator of 13/4. Since we want this number to stay in the same value, we have to multiply the numerator by 2 as well (top part of the fraction). Therefore, we are getting the difference of 63/8 and 26/8. Doing this, we get (63-26)/8, so the answer is 37/8 = 4 5/8
d. Numbers get smaller
as you move to the left on the number line.
And conversely when the
number moves along to the right it increases by interval of typically 1. Why
does this happen? Because this phenomenon is the illustration of how number are
ordered and hierarchical. Integers can better explain the numbers beyond 0. The
existence of the negative numbers which is obviously less in value than the
real numbers 1 , 2 , 3 and so on.
Answer:
144
Step-by-step explanation:
Length of 1 side is 12 so area is 12*12
