Answer: 4/5
Step-by-step explanation: For a line to be parallel to another line there must be two conditions true.
Condition 1: Both lines must have the same slope (i.e the same x in the form y = mx + b)
Condition 2: Both lines must have different y-intercepts (i.e different b in the form y = mx + b)
Thus, if you are looking for the slope of the line parallel to y = 4/5x - 3, we can look at condition 1, and see that the slope should also be 4/5 for the other line.
Answer:
3x4^3/34
3×64/34=192/34=96/17 or 5.64
Answer:
x -3y = - 3
Step-by-step explanation:
Slope of line m = (0 -1 )/(-3 - 0) = 1/3
y - intercept b = 1
Equation of line in slope-intercept form is given as:
y = mx + b
Plugging m = 1/3 and b = 1 in the above equation, we find:
y = 1/3 x + 1
-> 3y = x + 3
-> x -3y = - 3
This is the required equation of line.
Answer:
i) 28 - 30i
ii) 36 + 28i
Step-by-step explanation:
i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i
z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i
2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i
ii) w = -1 + 5i and z = 4 - 8i
w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40
⇒collect like terms
w × z = -4 + 28i - 40
∵ 
∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i
For this case we have the following equations:

We must find 
By definition of composition of functions we have to:

So:

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

So, the roots are:

The domain is given by all real numbers except 0 and 3.
Answer:
x other than 0 and 3