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ANTONII [103]
4 years ago
10

Whic two transformations are applied to pentagon ABCDE to create A'B'C'D'E?

Mathematics
2 answers:
Blababa [14]4 years ago
8 0
It's either a (the first one) or b (the second one), but if I had to choose I would choose b. If I'm wrong I'm so sorry I spent 10 minutes looking at this.
TEA [102]4 years ago
5 0

Answer:

Option A.

Step-by-step explanation:

ABCDE is a pentagon which has been transformed to form A'B'C'D'E'.

In this process two transformations have been done.

To check the transformations we select one point A and check it for all the transformations.

1) Point A has been shifted 7 units right on the x axis and 1 unit up on y- axis as per rule (x, y) → (x + 7, y + 1)

2) Now the translated image has been reflected across x - axis to form a new point A'.

Therefore, Option A. is the correct option.

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<u>Step-by-step explanation:</u>

P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs

22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes

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