Equate the real and imaginary parts independently to find x and y.
Real part: -4=x, so x=-4
Imag. part yi=3i, so y=3
52-y+4
(2/3) (52-y+4)+3=25 ;; (1/3) get off, so (2/3) left
(2/3)(52-y+4) =22
52-y+4=33
-y=-23
y=23
<h3>
Answer: B) 6 right and 9 down</h3>
We start with x-5. We want to add on some h value such that x-5+h = x+1, which solves to h = 6. So we must add on 6 to (x-5) to get to (x+1). This shifts the graph 6 units to the right.
As for the vertical shifting, we start with +7 and we end up at -2. The vertical distance is 7-(-2) = 9 units, so we must shift 9 units down.
Answer:
$125 per week
Step-by-step explanation:
Andrew earns $6.25 per hour. If he works for 4 hours, solution will be:
$6.25 × 4 = $25 per day.
If Andrew works 5 days per week, then he earns
$25 × 5 = $125 per week.
Therefore by estimate, Andrew earns $125 per week.
Answer:
1.62 seconds
Step-by-step explanation:
h = -16t² + 24t + 16.4
The initial height is 16.4 feet. The snowboarder lands 3.2 feet below this, or at a height of 13.2 feet.
13.2 = -16t² + 24t + 16.4
16t² − 24t − 3.2 = 0
Solve with quadratic formula:
t = [ -(-24) ± √((-24)² − 4(16)(-3.2)) ] / 2(16)
t = [ 24 ± √(576 + 204.8) ] / 32
t = 1.62
The snowboarder is in the air for 1.62 seconds.