Option C: 
is the value of a and b
Explanation:
Given that the expression 
We need to determine the value of a and b
Let us consider the term 
and take the prime factorization of the term 648
Thus, we have,
648 divides by 2,
324 divides by 2,
162 divides by 2,
81 divides by 3,
27 divides by 3,
9 divides by 3,
Thus, we have,
Therefore, equating the powers of 2 and 3, we get,
Hence, the value of a and b is 3 and 4
Thus, Option C is the correct answer.
The answer is C, the first number in the equation is going to be multiplied separately by the ones inside the parentheses, which is that number distributing.
Answer:
units or 14.2 units (rounded to the nearest tenth)
Step-by-step explanation:
To find the distance between a pair of two points, use the distance formula 
. Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:
So, as an exact answer, the distance is units.
(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)
Answer:
A) 3
Step-by-step explanation:
The notation f(x)=[x] represents the greatest integer function, with the integer being less than or equal to x.
Since we have to find the nearest integer smaller than the given number, we can say that greatest integer function always rounds down its input to the nearest integer.
We have to find the value of [3.6]. So we have to round down 3.6 to its nearest integer, which will be 3.
Therefore, the option A gives the correct answer.
A is the only number line that correctly shows the locations of all given values.
Answer=A
***EDIT***
Okay, so if you look at the number line, you notice that the distance between one line and the next is equal to 1/4. When we move to the left, we decrease in value. When we move to the right, we increase in value.
So, knowing that, lets look at A and see if all of the numbers are correctly placed.
1/2 should be two lines to the right of 0 (since distance between one line and the next is equal to 1/4, and 1/4+1/4=2/4 or 1/2)
-4 is a relatively easy value to find, since its line is labeled.
-2 3/4 should be three lines to the right of -2 (since distance between one line and the next is equal to 1/4, and 1/4+1/4+1/4=3/4 and if you go 3/4 to the left of -2 u get -2 3/4)
(-2-3/4=-2 3/4)
1 1/4 should be three lines behind 2 (since distance between one line and the next is equal to 1/4, and 1/4+1/4+1/4=3/4 and if you go 3/4 to the left of 2 you get 1 1/4)
(2-3/4=1 1/4)
