Answer:
(-4,2)
Step-by-step explanation:
when rotated about 180 degrees, you change both signs
9514 1404 393
Answer:
- 80
- 40
- 10 to 20, inclusive
Step-by-step explanation:
1. The various goals can be met without filling the theater. This fact means there is a range of possibilities for each of the answers. However, we take the wording, "because of the demand for tickets ..." to mean demand is high and the theater will be sold out.
Since two children's tickets will be sold for each adult ticket sold, the number of children's tickets is 2/3 of the total.
children's tickets = 2/3 × 120 = 80
__
2. The remaining 40 tickets will be adult tickets.
40 adult tickets will be sold.
__
3. The total revenue must be at least $1800. If we allow 'd' tickets to be sold at a discount, then we can find the limits on d using the inequality ...
24(40-d) +24(0.75)d +12(80) ≥ 1800 . . . . revenue from ticket sales
-6d ≥ -120 . . . . . . . . . . . . . . . . . . . collect terms, subtract 1920
d ≤ 20 . . . . . . . . . . divide by -6
At least 10 and at most 20 adult tickets can be sold with a discount.
("At least 10" comes from the problem requirements.)
The m in the equation is the slope and the y-intercept is the b.
y=1x-1
y=mx+b
Answer:
The position of the three cities do not form a right-triangle.
Step-by-step explanation:
There are three cities on a map (say A, B, and C).
Now, the distances between them are 45 miles, 56 miles, and 72 miles.
i.e. AB= 45 miles, BC= 56 miles and CA =72 miles.
If the three cities A, B, C form a right-angled triangle on the map, then applying Pythagoras Theorem AB² +BC² =AC²
or, AC= √(AB² +BC²) must be satisfied.
Now, right-hand side of the above equation =√(45²+56²) =71.84 ≠ 72 (AC)
Hence, Right-hand side ≠ Left-hand side.
Therefore, the positions of the three cities do not form a right triangle. (Answer)
The answer to this problem is simple to find the answer we must see the keywords in the sentence on of is how many which can mean addition/multiplication so here the problem is increasing in a rate of 3 3x1=3
3x2=6 3x3=9 and so on 3x7=21 your answer is 21
