Answer:
B.14
Step-by-step explanation:
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Area of a triangle is = 0.5bh
if the height (h) is 4 less than base (b) then h = b - 4
48 = 0.5(b)(b - 4)
48/0.5 = b² - 4b
96 = b² - 4b
b² - 4b - 96 = 0
(b + 8)(b - 12) = 0
b must be either -8 or 12
since a distance can't be negative that means
the base is 12
The ratios of y over x are all equal to 1/3, thus we may infer that: B. the table is proportionate.
What is a Proportional Relationship?
Any pair of values in a table that depicts a proportionate relationship have the same value for the proportionality constant, k, where k = y/x.
Check each pair of values in the table to see if k is the same:
(36.75, 12.25):
k = 12.25/36.75 = 0.33
(16.8, 5.6):
k = 5.6/16.8 = 0.33
(77.1, 25.7):
k = 25.7/77.1 = 0.33
It is proportionate because the ratios of y across x are all equal to 1/3, which implies that the value of k is identical for all values.
Learn more about proportional relationship visit:
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