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Answer:
option-C
Step-by-step explanation:
We are given row-echelon form
So, we can write equation from matrix as
Let's assume
now, we can find x and y
so, we get solutions as
where t can be any real numbers
Answer:
Step-by-step explanation:
The sides of a 30-60-90 triangle are in the ratio 1:√3:2
The side opposite the 30° angle is (12√6)÷2 = 6/√6.
The side opposite the 60° angle is √3×6/√6 = 6/√2 =3√2.
The sides of a 45-45-90 triangle are in the ratio 1:1:√2
The hypotenuse is 3√2, so the side opposite the 45° angle is 3.
x = 3
The sequence that represents a geometric sequence can be seen in the 1st option and the 4th option in the image attached.
<h3>What is a geometric sequence?</h3>A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio (r).
or
From the options given, the options that have geometric sequences are:
- 3/16, 3/8, 3/4, 3/2
r = (3/8)/(3/16) = (3/4)/(3/8) = 2 (proves that it is a geometric sequence)
- 3, 9, 27, 81
- r = 9/3 = 27/9 = 3 (proves that it is a geometric sequence)
Learn more about geometric sequence here:
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