Answer:
11a. (1, 1)
11b. (2, 2)
Step-by-step explanation:
A function cannot have an x-value that produces multiple different y-values. A function can have a y-value that produces multiple different x-values.
For this question, you could put in a number of different points and still get the right answer. If you work through this problem yourself again and pick different points from mine, it doesn't mean that it is wrong. As long as it follows the rules stated above, you will get the correct answer.
11a. (1, 1)
This is an x-value that was not stated in the data set. This means that, as far as we know, there is only one y-value for the x-value of 1.
11b. (2, 2)
This is an x-value that was stated in the data set. This means that for the x-value of 2, there are two y-values: 2 and 8.
In this case we will use the general equation:
d = s t (distance =
speed*time)
Therefore
Distance Amy can run in 13.4s:
d = (100m/14.1s)*(13.4s)
d = 95.04meters
Headstart needed = total distance - distance run in 13.4s
(time Maya runs 100m)
headstart needed = 100-95.04 = 4.96meters
Answer:
s measures 33° and t measures 57°.
Step-by-step explanation:
Since the two angles s and t are complementary, this implies that:

We are given that t is 9 less than twice s. Hence:

We can substitute this into the first equation:

Solve for s. Combine like terms:

Adding 9 to both sides yields:

And dividing both sides by 3 gives us that:

Returning to our second equation, we have:

So:

So, s measures 33° and t measures 57°.
Answer:
Angles 2 and 6 are congruent as corresponding angles
Angles 6 and 7 form a linear pair.