Answer/Step-by-step explanation:
a. Using two points on the line (0, 2) and (4, 12), find the gradient:
Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5
Gradient = 2.5
b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.
i.e. 2.5 litres per second
c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.
We have been given a graph that involves Real axis and Imaginary axis.
From that graph we have to choose correct line segment which joins complex numbers 2+2i and -1+3i.
We know that if complex number is (a+bi) then real part "a" is always plotted along x-axis and the imaginary part "b" is always plotted along y-axis just like point (a,b) on x-y graph.
So 2+2i means point (2,2) on x-y graph which is at point B.
similarly -1+3i means point (-1,3) which will be at point A.
So the line segment joining them will be AB
Hence final answer is the line segment AB.
The given equation is 
By solving the given equation, we get
While solving the equation,we get 0=0.
Therefore, the given equation is true for all the values of y.
Hence, we can say that the given equation has infinite number of solutions.
Answer:
(x-10) (x+1) =0
x=10 x=-1
Step-by-step explanation:
x^2 -9x-10 =0
Factor
What two numbers multiply to -10 and add to -9
-10*1 = -10
-10+1=-9
(x-10) (x+1) =0
Using the zero product property
x-10 = 0 x+1=0
x-10+10=0+10 x+1-1=0-1
x=10 x=-1
These are the x intercepts
