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prisoha [69]
3 years ago
10

ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
malfutka [58]3 years ago
7 0

Answer:

Step-by-step explanation:

We have f(x) and g(x). We are to evaluate each of these functions at the domain values given (1, 2, 3, 4, 5, and 6) and see where the output is the same.

f(1)=-(1)^2+4(1)+12 and f(1) = 15

f(2)=-(2)^2+4(2)+12 and f(2) = 16

f(3)=-(3)^2+4(3)+12 and f(3) = 15

f(4)=-(4)^2+4(4)+12 and f(4) = 12

f(5)=-(5)^2+4(5)+12 and f(5) = 7

f(6)=-(6)^2+4(6)+12 and f(6) = 0

Now for g(x) at each of these domain values:

g(1) = 1 + 2 and g(1) = 3

g(2) = 2 + 2 and g(2) = 4

g(3) = 3 + 2 and g(3) = 5

g(4) = 4 = 2 and g(4) = 6

g(5) = 5 + 2 and g(5) = 7

g(6) = 6 + 2 and g(6) = 8

It looks like the outputs are the same at f(5) and g(5). Actually, the domains are the same as well! f(5) = g(5)

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14 see below

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12.  the slopes are the same

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The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.

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