Answer:
11.7613636364
Step-by-step explanation:
or just round up to 12
The given point is (-4, -6)
First reflected point is (-4, 6).
Note that the x coordinate is same and y coordinate has opposite sign. Above x-axis, y is positive and below x-axis y is negative. This shows that the reflection was across x-axis which resulted in the change of sign of y coordinate.
Second reflected point is (-6, -4)
Notice that in comparison to the original point, the location of x and y coordinate has been interchanged. This can only happen when the reflection is across the line y = x. The reflection of a graph across y = x also results in the inverse of that graph, with x values and y values interchanging their positions.
So,
1st Answer: Reflection across x-axis
2nd Answer: Reflection across the line y = x
Answer:
Second option
Third option
Fourth option
Step-by-step explanation:
We have the following quadratic function

Use the distributive property to multiply the expression


For a function of the form
the x coordinate of the vertex is:

Then in this case the coordinate of the vertex is:


To obtain the y coordinate of the vertex we evaluate the function at 



Then the vertex is: (-3, -16)
We can see in the graph that the zeros of the function are x=1 and x=-7
Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞
The function is positive for
and 
The correct answers are:
Second option
Third option
Fourth option
For this case, we have by definition, that an irrational number is a number that can not be expressed as a fraction
, where a and b are integers and b is nonzero.
Some examples are:

So, that the answer is 
Answer:
Option C
Answer:
C
Step-by-step explanation:
We have the expression:

Rewriting this yields:

Therefore, our answer is C.