Answer:
A
Step-by-step explanation:
![\left[\begin{array}{ccc}12 &-6\\1 &-10 \\\end{array}\right] +\left[\begin{array}{ccc}-2&14\\5&15\\\end{array}\right] =\left[\begin{array}{ccc}12-2&-6+14\\1+5&-10+15\\\end{array}\right] =\left[\begin{array}{ccc}10&8\\6&5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D12%20%26-6%5C%5C1%20%26-10%20%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%2614%5C%5C5%2615%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D12-2%26-6%2B14%5C%5C1%2B5%26-10%2B15%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%268%5C%5C6%265%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Answer:
C
Step-by-step explanation:
Parallel and opposite sides of a parallelogram are equal. Hence, we can say:
x + 30 = 2x - 10
and
2y-10 = y +10
Solving first one, we get:
x + 30 = 2x - 10
30+10 = x
x = 40
Also
2y - 10 = y + 10
y = 10 + 10
y = 20
Now, z = x - y, so
z = 40 - 20 = 20
Answer C is right.
6 inches because area= length times width and 6 times 8= 48 inches
Answer:
35 different routes
Step-by-step explanation:
The problem of how many different routes are possible if a driver wants to make deliveries at 4 locations among 7 locations is a combination problem.
Combination problems are usually selection problems, of all or part of a set of options, without considering the order in which options are selected.
The number of combinations of n objects taken r at a time is: ⁿCᵣ
So, the number of ways the driver can make deliveries at 4 locations out of 7 locations of given by
⁷C₄ = 35 different ways.
Hence, 35 different routes are possible to make deliveries at 4 locations out of 7 locations.
Hope this Helps!!!