Which statement best explains whether the table represents a linear or nonlinear function?
2 answers:
Answer: D- It is a nonlinear function because the output values are increasing at different rates.
Step-by-step explanation:
We know that in a linear function , there is always constant rate of change whereas if there is different rates of change of the variables then it is non- linear function.
We know that the rate of change of function =
From x=0 to x=1, the rate of change of function=
From x=1 to x=2, the rate of change of function=
From x=2 to x=3, the rate of change of function=
We can see there is increase in function but at different rates.
Therefore, D is the right option. It is a nonlinear function because the output values are increasing at different rates.
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Answer:
G.
Step-by-step explanation:
Given that figure I and figure II are similar, it follows that the ratio of their corresponding side lengths are equal and the same.
Thus:
Therefore, the proportion that must be true is:
✔️
Step-by-step explanation:
I'll do the first problem as an example.
∠P and ∠H both have one mark. That means they're congruent.
∠T and ∠G both have two marks. So they're congruent.
∠W and ∠D both have three marks. So they're congruent.
So we can write a congruence statement:
ΔPTW ≅ ΔHGD
We can write more congruence statements by rearranging the letter, provided that corresponding pairs have the same position (P is in the same place as H, etc.). For example:
ΔWPT ≅ ΔDHG
ΔTWP ≅ ΔGDH
