Answer: The equation is y= -2x -4
Step-by-step explanation:
The slope intercept form is like y=mx+b so we know the slope which is m but we just need to find the y intercept.
and we will use the given coordinates to find the y intercept by putting in the x and y coordinates into the formula y=mx + b
-6= -2(1) + b
-6= -2 + b
+2 +2
b= -4
Answer:

Step-by-step explanation:
The function that we have to study in this problem is

The domain of a function is defined as the set of all the possible values of x that the function can take.
For a square-root function, there are some limitations to the possible value of the argument in the root.
In particular, the argument of a square root must be equal or greater than zero, because the square root of a negative number is not defined.
Therefore, in this case, we have to set the following condition for the domain:

And by solving, we get

which means that the domain of this function is all real numbers equal or greater than 5.
Answer:
because this is a right triangle, we have''

Step-by-step explanatio
Answer:
44.159
Step-by-step explanation:
Answer:
The equation of the parabola is
, whose real vertex is
, not
.
Step-by-step explanation:
A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:
,
, 
From definition of second order polynomial and the three points described above, we have the following system of linear equations:
(1)
(2)
(3)
The solution of this system is:
,
,
. Hence, the equation of the parabola is
. Lastly, we must check if
belongs to the function. If we know that
, then the value of
is:


does not belong to the function, the real point is
.