The diagonals intersect perpendicularly, two consecutive angled are supplementary, and that opposite angles are equal
Independent events. Someone does not have to buy popcorn to buy a drink and someone does not have to buy a drink to buy popcorn.
Answer:
A. Slope is -12 feet per second
B. Yes, it is constant.
<u>Skills needed: Linear Equations, Substitution and Division</u>
Step-by-step explanation:
1) Solving Part A (we need to find the slope):
- The slope is
-->
,
,
, and
are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.
2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:
-
==>
==>
==>
, so the slope is -12.
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1) Part B (analysis)
We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.
9514 1404 393
Answer:
B. x = 4
Step-by-step explanation:
The axis of symmetry is the vertical line through the vertex. This parabola has its vertex at (4, -1), so the axis of symmetry is x = 4.
Answer:
168
Step-by-step explanation:
The first equation given is 
Where a is number of adult tickets and b is number of student tickets
It is also given that 82 students attended, so we can put "82" in place of "b" and then solve the equation for a:

Hence, 168 adults attended