Answer: -2/5
(The two lines are parallel if their slopes are equal and they have different y-intercepts)
Answer:
A) 3(x+6)
Step-by-step explanation:
Given,
The area of the model = (6x+18)
If the dimensions of the model are, x unit × y unit,
Then,
xy = 6x + 18
If x = 3, y = x + 6
3(x+6) = 3x + 18 ( by distributive property )
∴ Option A doesn't represent the dimensions of the model,
If x = 6, y = x + 3
6(x+3) = 6x + 18
∴ Option B represents the dimensions of the model,
If x = 0.5, y = 12x+36
0.5(12x+36) = 6x + 18
∴ Option C represents the dimensions of the model,
If x = 0.25, y = 24x + 72
0.25(24x+72) = 6x+18
∴ Option D represents the dimensions of the model,
Answer:
D) 32
Step-by-step explanation:
Given;
series: 56, 54, 50, 38, 34, ....
find the difference between successive numbers;
56 54 50 38 34 x
2 4 12 4 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2.
The next number "x" is calculated as;
34 - 2 = x
34 - 2 = x
32 = x
Therefore, the next number should be 32.