Make a Conjecture A table shows a proportional relationship where kis
1 answer:
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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
Answer:
d. 13.5, 20.25
Step-by-step explanation:
An exponential function is monotonic and does not change sign. On this basis alone, the first three choices can be eliminated.
The common ratio is 6/4 = 3/2.
The term in the sequence after 9 is 9·(3/2) = 27/2 = 13.5.
The term in the sequence after 27/2 is (27/2)·(3/2) = 81/4 = 20.25.
Answer:
The factorised term is:
Step-by-step explanation:
We are asked to factor the algebraic expression given as:
Now we will take out the variable which is common among all the terms and write the remaining expression in parantheses.
As is common among all the terms hence we write this term out of the parantheses and the remaining term inside it as to obtain then simplified expression as: