What is the midpoint of the vertical line segment graphed below?
1 answer:
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Answer:
option D is rational
Step-by-step explanation:
A rational number is a number that can be written in the form of fraction or integer
here in the given question
A) 1.5 + √1.5
now,
√1.5 is not rational as √1.5 = 1.2247448713915890490986420373529
hence A is not rational
b) 12 - √12
√12 is not rational as √12 = 3.4641016151377545870548926830117
hence B is not rational
c)
here,
is not rational
D)
now,
√25 = 5
hence,
=
= 5
therefore,
option D is rational
ANSWER
Option D
EXPLANATION
The parent radical function is
The transformed function is
This is a transformation of the form.
which shifts the parent function horizontally by k units to the right and stretches the parent function vertically by a factor of 'a'.
In this case a=2 and k=3,
there is a horizontal shift of 3 units to the right and a vertical stretch by a factor of 2.
The last choice is correct.