Answer:
Step-by-step explanation:
Recall that the unknown (x) here is the log base 32 of 2, so we can write this as the equation:
The above equation can be solved by the "change of base formula":
We can also answer this by trying to solve the exponential equation:
Where we are asked what is the exponent (x) at which we need to raise the base (32) in order to obtain the answer "2"?
Notice that since
Then 
And 1/5 = 0.2 which also agrees with our previous answer
5x - (2x - 1) = 2
Distribute the - sign.
5x - 2x + 1 = 2
Combine like terms.
3x + 1 = 2
Subtract 1 from both sides.
3x = 1
Divide both sides by 3
x = 1/3 or 0.33
Answer:
2,640
Step-by-step explanation:
Answer:
B(4, - 3 )
Step-by-step explanation:
We have A(2, - 7) and C(7, 3 )
Using the section formula to calculate the coordinates of B
= 
= 
= 
= 4
= 
= 
= 
= - 3
Hence B(4, - 3 )
Answer:
<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.
Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:
n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).
So, n can be written as 3 times another integer, thus n is divisible by 3.
<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.
Assume that n is divisible by 3. The above proof suggest that we write it as
n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).
As k, k+1, k+2 are three consecutive integers, we have completed our goal.
Step-by-step explanation:
