Answer:

First tangent line:

Second tangent line:

Notice: slope of -1 means that both
are equal to -1, so 
Two plus ten times eight
(2+10)*8 = 96
You can add numbers mentally if there are zero's behind them.
Answer:
- x + y ≤ 600
- 5x +7y ≥ 3500
- it is possible
Step-by-step explanation:
a) We can write two inequalities, one for the number of tickets, and one for the necessary revenue.
x + y ≤ 600 . . . . . . . limit imposed by available seating
5x +7y ≥ 3500 . . . . required revenue to meet expenses
__
b) For x = 330, the first inequality puts one limit on y:
330 +y ≤ 600
y ≤ 270
And the second inequality puts another limit on y:
5(330) +7y ≥ 3500
7y ≥ 1850 . . . . subtract 1650
y ≥ 264.3 . . . . divide by 7
The number of tickets that must be sold to meet expenses is 265, which is less than the number that can be sold, 270. It is possible to meet expenses.
The steps in the patterns A and B form a sequence
The attached diagram represents dots in patterns A and B
<h3>How to draw the diagrams</h3>
For pattern A, we have:
Step 2 = 10 dots
Increment of 3 dots in each step
This means that:
Step 0 = 4 dots
Step 1 = 7 dots
Step 2 = 10 dots
Step 3 = 13 dots
For pattern A, we have the following rule

When n = 0 to 3, we have:

Step 0 = 1 dot

Step 1 = 3 dots

Step 2 = 9 dots

Step 3 = 19 dots
Next, we draw the diagrams of both patterns (see attachment)
Read more about patterns at:
brainly.com/question/15590116