Answer:

Step-by-step explanation:
Given the logarithm function

For logarithmic equations,
is equivalent to
such that
and 
In current case:



Substituting the values of
and
into the equation 

Keep in mind that the positive directions of the two axis are: upwards for the y axis and rightwards for the x axis.
So, translating a point 6 units up means to go 6 units along the positive direction on the y axis. For this reason, the new y coordinate will be 6 units more than the old one.
Similarly, going 3 units left means to decrease by 3 the x coordinate, because we're following the negative direction.
So, to recap, this transformation maps 
This means that the two points become

9514 1404 393
Answer:
√3/11, π/24, 3/25, 9/100
Step-by-step explanation:
The 2-decimal value of each of the numbers is ...
9/100 = 0.09
π/24 = 0.13
3/25 = 0.12
√3/11 = 0.16
Then the order from greatest to least is 0.16, 0.13, 0.12, 0.09. In the original form, that is ...
√3/11, π/24, 3/25, 9/100 . . . . . matches choice B
Multiply 56 / 1 and 4 / 5. This will result in 224 / 5. You can divide it to result in 44.8, or keep it the fraction because it cannot be simplified any further.
Answer:
Option 2
x + 90 + 61 = 180
Step-by-step explanation:
x + 90 + 61 = 180
Supplementary angles