Answer:
7 2/3
Step-by-step explanation:
Answer:
slope of M'N' = 1
Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)
For point N':
x coordinate of N' = k * x coordinate of N
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)
Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1
Hope this helps :)
Answer:
(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20
(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20
Step-by-step explanation:
There are two inequalities in mind, the first of the surface and the second of the price. Always bearing in mind that the minimum are 50 of A and 20 of B.
The first
A occupies 1/2 m and B occupies 1/2 m of surface, and the limit is 100 m of surface. Thus:
(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20
The second:
A costs 5,000 and B costs 30,000, and the limit is 1,500,000. Therefore:
(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20
3. Twenty is two times the size of ten.
That's basically what the division problem says, is it not?
