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When the line segement is dilated , the resulting line is parallel to the original line. Know that the the slopes of parallel lines are equal. Therefore, the slope of the line passing through (-2,10) and (7,4) is equal to the slope of the new line .
Basically, we will just have to compute for the slope using the points (-2,10) and (7,4).
a. It is rewritten as 15/4 + 4⅓
b. The fraction would be positive
c. The solution as a mixed fraction is: 8
A mixed fraction is a number that has a combination of a fraction part and a whole number. For example, 2⅓ is a mixed fraction.
Given the expression, 15 / 4 – (-4⅓), the steps below can be used to solve the fractional expression as a mixed fraction:
a. Rewrite as addition:
15/4 + 4⅓ [note, minus multiplied by minus = plus]
b. The answer would be positive because we are adding two positive fractions.
c. Solve as mixed fraction as shown below:
15/4 + 13/3
The common denominator of the two fractions is 12, thus:
= [3(15) + 4(13)]/12
= [45 + 52]/12
= 97/12
Express as mixed fraction:
97/12 = 8
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