A function z=f(x,y) has two partial derivatives and y. These derivatives correspond to each of the independent variables and can be interpreted as instantaneous rates of change (that is, as slopes of a tangent line). Similarly, ∂z/∂y represents the slope of the tangent line parallel to the y-axis.
Answer:
What is the table? what are the values? If you can't insert a picture please type the like f(x)= y
Step-by-step explanation:
The correct answer is option D.
<h3>What is Straight Line?</h3>
A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.
When two equations have same slope and their y-intercept is also the same, they are representing the line. In this case one equation is obtained by multiplying the other equation by some constant.
If we plot the graph of such equations they will be lie on each other as they are representing the same line. So each point on that line will satisfy both the given equations so we can say that such equations have infinite number of solutions.
Consider an example:
Equation 1: 2x + y = 4
Equation 2: 4x + 2y = 8
If you observe the two equation, you will see that second equation is obtained by multiplying first equation by 2. If we write them in slope intercept form, we'll have the same result for both as shown below:
Slope intercept form of Equation 1: y = -2x + 4
Slope intercept form of Equation 2: 2y = -4x + 8 , ⇒ y = -2x + 4
Both Equations have same slope and same y-intercept. Any point which satisfy Equation 1 will also satisfy Equation 2. So we can conclude that two linear equations with same slope and same y-intercept will have an infinite number of solutions.
Thus, the correct answer is option D.
Learn more about Straight line from:
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Answer:
8 houses
Step-by-step explanation:
Since there is 3 zippers for every 2 houses , you can put that into ratio form, for example :
3 : 2
Now that there is 12 ZIPPERS , we want to figure out how many houses , for example:
12: ?
First what you want to do is figure out how we ended out with the number , so we will take 3 zippers we started with and the 12 zippers we have now. We are going to divide the 3 from 12 leaving us with 4 as our quotient .
12÷3=4
Now that we have 4 groups of houses we can multiply 4 x 2 equaling us with , yes you guessed it 8 .
In ratio form the answer is this :
3 : 2 = 12 : 8
I hope you get a 100%!!!
Answer:
5+60=N
Step-by-step explanation:
its the algebraic way bc it says 5 more so you do 5+
