What is the nature of triangle formed by the lines x+y=0 , 3x+y=0 , x+3y-4=0
1 answer:
Answer:
isosceles obtuse triangle
Step-by-step explanation:
The attached graph shows a plot of the three lines.
The triangle is an isosceles obtuse triangle in the 2nd quadrant.
_____
It is convenient to let a graphing calculator plot these lines. If you're going to plot them by hand, it usually works best to choose values of the variables for the variable that has the largest coefficient (3 in two of the equations). That way, you're not trying to plot coordinates that contain fractions.
You might be interested in
Part A:
The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:
and
are points on the function
You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:
Now, let's find the slopes for each of the sections of the function:
<u>Section A</u>
<u>Section B</u>
Part B:
In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.
It is 25 times greater. This is because is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.