Answer:
0 solutions / no solutions
Step-by-step explanation:
If two lines have the same slope but different y-intercepts, it means that they are parallel.
For example, we have two lines:
y = x
y = x + 1
Both lines have the same slope of 1, but different y - intercepts. Because each equation increases the x and y at the same right (slope) but started at different points, the two equations will never touch.
It's similar to two runner who run at the same pace. If one runner started 50 meters ahead, that runner will always be ahead 50 meters (y-intercept) because they both run at the same rate.
Answer:
(-6,0.5)
Step-by-step explanation:
(-9 + -3)÷2= -6
(-4 + 5)÷2=0.5
(-6,0.5)
Answer:
Option A: is the correct answer.
Step-by-step explanation:
Given that:
Slope of the line =
Let,
m be the slope of the line perpendicular to the line with slope
We know that,
The product of slopes of two perpendicular lines is equals to -1.
Therefore,
Multiplying both sides by
m =
is the slope of the line perpendicular to the line having slope
Hence,
Option A: is the correct answer.
ANSWER
See below
EXPLANATION
Part a)
The given function is
From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).
b) Using calculus, we find the first derivative of the given function.
At turning point f'(x)=0.
This implies that,
We plug this values into the original function to obtain the y-values of the turning points
We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]
Hence
is a maximum point.
Hence
is a minimum point.
Hence (0,-6) is a point of inflexion