Answer:
8
Step-by-step explanation:
Note that 2 divides into 8 evenly, yielding the quotient 4. 8 is the LCD. To combine 3/8 and 11/2, we would rewrite 11/2 as
4·11
------ = 44/8
4·2
and then combine 44/8 with 3/8. The sum would be 47/8.
In summary, the LCD of 3/8 and 11/2 is 8; 3/8 stays as is and 11/2 is rewritten by mult. numerator and denominator by 4 each.
Answer:

Step-by-step explanation:
Exponential function
is
increasing if 
decreasing if 

The answer is -16 radical 3
Answer:
Lina's solution is correct because it expresses 126 as a product of prime factors.
Step-by-step explanation:
Prime factorization can be defined as a methodology of breaking down an original number down into the set of prime numbers which when multiplied together give us the original number.
Prime factorization makes use of a factor tree
The number we are to carry out prime factorization on is 126
126
/\
3 42
/\
6 7
/\
2 3
The Prime Factorization is:
2 x 3 x 3 x 7
Hence, Lina's factor tree of 126. 126 branches to 3 and 42. 42 branches to 6 and 7. 6 branches to 2 and 3. The equation is 126
= 2 times 3 squared times 7.
Is correct.
Answer:
x = 
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = 
sin60° =
=
=
( cross- multiply )
x ×
= 8 ( divide both sides by
)
x =
×
( rationalising the denominator )
x = 