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.
Answer:
A dilation factor of 1 over 2
Step-by-step explanation:
The smaller polygon is half the size of the original polygon
The answer is 13 because,of both sides are parallel and the other sides opposite is half the there fore half of 26 is 13
Answer:
x is any integer not a multiple of 3
Step-by-step explanation:
This is equivalent to ...
(x mod 3)² = 1
x mod 3 = ±1 . . . . . . taking the square root
Possible values of x mod 3 are 0, 1, 2 (≅-1), so the only value excluded is 0.
x mod 3 ≠ 0 . . . . . . for any integer x