Answer:
Step-by-step explanation:
y - 0 = 2/3(x + 5)
y = 2/3x + 10/3
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer:
32
Step-by-step explanation:
No of desks along length of the rectangle = 7 as it is 7 rows wide.
No of desks along breadth of the rectangle = 7 as it is 5 rows long.
Total number of students is product of these two numbers.
So number of students = 35.
But three desks are empty.
Total students = 35- 3
= 32.
Answer:

Step-by-step explanation:
Given : The formula for the area of a trapezoid with altitude k and bases m and n is 
We have solve for m .
Consider the given formula 
Multiply both side by
, we have,

Now subtract n both side, we have,

Thus, 
Ok so for the first one it’s super simple I’m gonna do it as less complicated so it can help you :)
So first we need to convert the mixed number to an improper fraction
1 4/5 = 9/5
Now we need to reduce the numbers greatest common divisor which is 3
3/5 x 6
Now multiply the numbers
Your answer is 18/5 I hoped this help
Now for the second one
this one is a little more complicated and I don’t know how to make it sound easier so I’m gonna tell you the answer which is 580/21
The last one is the same steps we did for the first one which is 27/20
I hoped this helped you it is a little difficult but you’ll get the hang of it :)