9514 1404 393
Answer:
(a, b) = (-2, -1)
Step-by-step explanation:
The transpose of the given matrix is ...
Then the [3,1] term of the product is ...
and the [3,2] term is ...
Both of these terms in the product matrix are 0. We can solve the system of equations by adding these two terms:
(a +2b +4) +(2a -2b +2) = (0) +(0)
3a +6 = 0
a = -2
Substituting for 'a' in term [3,1] gives ...
-2 +2b +4 = 0
b = -1
The ordered pair (a, b) is (-2, -1).
Answer:
Total number of kilometers in the ride = 5 km
Number of kilometers Garret has already biked = k km
Number of kilometers Garret left to ride = 5 - k km
Number of minutes Garret takes per kilometer = 4 minutes.
Step-by-step explanation:
1. It takes 4 minutes for Garret to go a kilometer. Then
Number of minutes Garret takes per kilometer = 4 minutes.
2. Suppose the variable is the number of kilometers Garret has already biked.
3. Garret is partway through a 20-minute bike ride. It takes 4 minutes for him to go a kilometer. Then
Total number of kilometers in the ride is
4. Suppose the variable is the number of kilometers Garret has already biked. Then
km is the number of kilometers Garret left to ride.
