Answer:
see explanation
Step-by-step explanation:
A translation using the vector < 3, - 4 > , means
Add 3 to the x- coordinate and subtract 4 from the y- coordinate, so
M (- 3, - 2 ) → M' (- 3 + 3, - 2 - 4 ) → M' (0, - 6 )
N (- 1, 4 ) → N' (- 1 + 3, 4 - 4 ) → N' (2, 0 )
P (2, 4 ) → P' (2 + 3, 4 - 4 ) → P' (5, 0 )
Q (4, - 2 ) → Q' (4 + 3, - 2 - 4 ) → (7, - 6 )
Answer:
43
Step-by-step explanation:
Answer:
2nd debate was 3 hours long.
Step-by-step explanation:
We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.
Let us find the estimate of time spent on 2nd debate.
1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

Therefore, the estimated time is less 4 hours.
To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.
First of all, we will convert mixed fractions into improper fractions as:


Now, we will multiply both fractions as:



Therefore, the 2nd debate was 3 hours long.
Answer: 3 inches
Step-by-step explanation:
Step-by-step explanation:
Forced vital capacity: the maximum amount of air you can forcibly exhale from your lungs after fully inhaling. It is about 80 percent of total capacity, or 4.8 liters, because some air remains in your lungs after you exhale