Answer:
Pattern: subtract 2 from the input to get the output
When the input is 9, the output is 7
When the input is 13, the output is 11
Step-by-step explanation:
» <u>Application + Solution</u>
To find the pattern, we have to look for common things we notice between the input and output.
- After analyzing, we can surely notice that we subtract two from the input each time to get the output because 3 - 2 = 1, 8 - 2 = 6, 15 - 2 = 13, and 20 - 2 = 18.
Now that we realized the pattern, we subtract 2 from 9 and 13.
The same constant value(s)
I estimated the answer to be 18,000
Without estimation the answer would be 18,109
d) You have a <u>difference of squares</u>:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
Answer:
I think it's alternate interior, cause both the angle are inside..