Typically, the equation of a circle is given like this: (x-h)^2 + (y-k)^2 = r^2, where r is the radius of the circle and the point (h,k) is the center. To find the value k, you need to put the first equation you have into this form. Standard form requires that you only have the1 y variable, as seen in the parentheses, so you first need to complete the square.
x^2 + y^2 - 2y = 11
x^2 + y^2 - 2y +1 = 11 + 1
x^2 + (y - 1)^2 = 12
And that puts the equation in standard form. k = 1.
(-25) + 10 + (-5) = -20 feet is his current position. To reach zero, he should add 20 feet to his altitude.
Answer:
The equation can define y as a function of x and it also can define x as a function of y.
Step-by-step explanation:
A relation is a function if and only if each value in the domain is mapped into only one value in the range.
So, if we have:
f(x₀) = A
and, for the same input x₀:
f(x₀) = B
Then this is not a function, because it is mapping the element x₀ into two different outputs.
Now we want to see it:
x + y = 27
defines y as a function of x.
if we isolate y, we get:
y = f(x) = 27 - x
Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.
Now we also want to check if:
x + y = 27
defines x as a function of y.
So now we need to isolate x to get:
x = f(y) = 27 - y
Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.
Answer:
First table
Step-by-step explanation:
We have to find the set of value which could be from a direct proportion.
We know that
Direct proportion :
When x is directly proportional to y
Where k=Proportionality constant
K remain constant when x and y are in direct proportion
From first table
When x and y are both varies then ratio of x and y remain constant.Hence, it is in direct proportion.
From second table
not ]define
It is not direct proportion because k does not remain constant.
From third table
It is not direct proportion because k does not remain constant.
