Answer:
c. -2 + 34i
Step-by-step explanation:
(2 + 6i)(5 + 2i)
c. -2 + 34i
Answer:
Maria did her job properly. Both gears are perpendicular.
Step-by-step explanation:
Recall that given vectors a and b, they are perpendicular if and only if
=0. If
. Then
.
IN our case a=(5,-1,2) and b) (1,-3,-4). So,

So both gears are perpendicular.
Answer: B
Step-by-step explanation:
y = azaleas
x = lilies
6y + 5x =196 total cost
y + x = 36 total number of items
y = 36 – x
6(36 -x ) +5x =196
216 – 6x + 5x = 196
-x = 196 – 216
-x = -20
Divide by -1
X = 20 lilies
Plug into y equation
Y = 36 – 20
Y= 16 azaleas
To check
6(16) + 5(20) = 196
96 + 100 = 196
Answer:
5 seconds
Step-by-step explanation:
When the ball returns to its original height, it will be 96 ft from the ground. That means we want to solve for t ...
h(t) = 96
96 +80t -16t^2 = 96
16t(5 -t) = 0 . . . . subtract 96 and factor
This equation is true for t=0 and for t=5.
After 5 seconds, the ball will pass the top of the building on the way down.
If the scale factor is larger then 1, the new shape is larger
if the scale factor is smaller then 1, the new shape is smaller
so if the scale factor is 3....then the length of the new rectangle is 3 times larger then the original one