Answer: See below
The line goes through -4 on the x-axis (horizontal line) and 0 on the y-axis. Therefore the x-intercept is (-4, 0)
The line goes through -8 on the y-axis (vertical line) and 0 on the x-axis. Therefore the y-intercept is (0, -8)
Answer:
(2, ∞)
Step-by-step explanation:
The function is not defined to the left of x=2 (assuming the independent variable is x). There is a vertical asymptote at x=2, so the function is not actually defined for x=2. However, the function is defined for all values of the independent variable greater than 2, so that is its domain.
(We don't actually know what the indpendent variable is, so we have expressed the domain in interval notation—avoiding the problem of naming the independent variable.)
Answer:
a
Step-by-step explanation:
I already answered this, but I guess it didn't go through
X 2 +y 2 +4x−2y=−1space, x, start superscript, 2, end superscript, plus, y, start superscript, 2, end superscript, plus, 4, x, m
stepan [7]
The radius is 2.
We will rewrite this equation in center-radius form,
(x-h)²+(y-k²)=r²
where (h, k) is the center of the circle and r is the radius.
In order to do this, we will need to complete the square. We will first rewrite this with the x terms grouped together and the y terms grouped together:
x²+4x+y²-2y = -1
To complete the square for the x terms, we divide the coefficient b (as in bx) by 2:
4/2 = 2
Now we square this:
2²=4
We will add this to both sides of the equation (in order to maintain balance, we must add it to both sides):
x²+4x+4+y²-2y=-1+4
x²+4x+4+y²-2y=3
We have completed the square for the x terms. When we divided b by 2, that gave us the number we need, 2:
(x+2)²+y²-2y=3
Now we will do the same thing for the y terms. The b for our y terms is -2:
-2/2 = -1
(-1)²=1
So we will add 1 to both sides, and use -1 in the finalized form:
(x+2)²+y²-2y+1=3+1
(x+2)²+(y-1)²=4
We can see that the center would be located at (-2, 1) and the radius is √4=2.
Answer:
no
Step-by-step explanation:
if the ratio (yx) of two variables (x and y) is equal to a constant (k=yx) .in this case y is said to be directly proportional to x with proportionality constant k