The slope of that equation is (1/3)x. To find the perpendicular slope of a slope, you would have to find the reciprocal. To do this:
Flip the slope, and add a negative. It'll equal to -3x. Visual representation:
https://puu.sh/zPz5u/85fcdde6ab.png
now the perpendicular slope is -3, you will need to put this into point slope form, which is y - y1 = m(x - x1)
x1 = 5, y1 = -3
It'll equal to: y + 3 = -3(x - 5)
Now, you need to convert this to slope intercept form y = mx + b. All you need to do is just to distribute the -3 in that binomial, and move that 3 in the left side to the right side. It is easy!
Follow the representation, and there you go!
https://puu.sh/zPzak/d3ee776f3d.png
Answer:
1. 0.55
2. 4.95
Step-by-step explanation:
450x20/1000/1000x8
= 9 megabytes/sec
the service time u = 10 megabytes per sec
ρ = 9÷10 = 0.9
1. the mean residence tr of a packet in the system
= 2-ρ/2 x u(1-ρ)
= 2-0.9/2 x 10(1-0.9)
= 0.55x1
= 0.55
2. the mean number of packets that are waiting to be processed inthe queue
= (2-p) x p/2 x (1-p)
= 2-0.9 x 0.9/2 x 1-0.9
= 1.1 *0.45 x 0.1
= 4.95
Answer:
Step-by-step explanation:
We are given;
- A point (6, -4)
- An equation of a line, 9x - 3y = 9
We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;
- To answer the question we need to get the gradient of the given line first.
- We write the equation 9x - 3y = 9 in the form of y = mx + c, where m is the slope;
y = 3x -3
- Thus, the slope of the line is 3
But; m₁ × m₂ = -1 (For perpendicular lines)
Therefore;
m₂ = -1 ÷ 3
= -1/3
Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).
To get its equation, we get another point (x, y)
Then;
Thus;
In the form of slope-intercept, the equation will be;
Thus, the equation of the line is;
Answer:
144(3/4)^1-n
Step-by-step explanation:
This is a geometric sequence, so if you divide 192 by 144 you will find that the common ratio r is 4/3. This would make the equation an=144(4/3)^n-1. However, that's not one of the options. If you plug in some numbers, you can see that 3/4 (the reciprocal of 4/3) can work as well if it's 3/4^1-n. 4/3^-1=3/4 and n-1(-1)=1-n
32% of 150 is 48
hope this helps