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Answer:
a) f(x) = (-1/3)x + 8
b) f(x) = (1/3)x + 9
Step-by-step explanation:
f(x) = 1/3x - 8
a) To reflect across the x axis multiply f(x) by -1.
-f(x) = -1 (1/3x - 8)
= (-1/3)x + 8
b) to translate up 17 units add 17 to f(x)
f(x) + 17=
= 1/3x - 8 + 17
= 1/3x + 9
Answer:
DE = 21
Step-by-step explanation:
Recall: the ratio of the corresponding side lengths of similar triangles are equal
Given that ∆ABC ~ ∆DEF, therefore,
AB/DE = BC/EF = AC/DF
AB = 8.4
DE = x
BC = 10
EF = 25
AC = 16.5
DF = 41.25
Let's find DE using AB/DE = BC/EF. Thus:
8.4/x = 10/25
Cross multiply
x*10 = 25*8.4
10x = 210
Divide both sides by 10
x = 210/10
x = 21
DE = x = 21
