Answer:
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
Step-by-step explanation:
5z^2−9z=−7z−5
We need to get all the terms on one side (set the right side equal to zero)
Add 7z to each side
5z^2−9z+7z=−7z+7z−5
5z^2−2z=−5
Add 5 to each side
5z^2−2z+5=−5 +5
5z^2−2z+5=0
This is in the form
az^2 +bz+c = 0 so we can use the quadratic formula
where a = 5 b = -2 and c = 5
-b± sqrt(b^2-4ac)
-------------------------
2a
-(-2)± sqrt((-2)^2-4(5)5)
-------------------------
2(5)
2± sqrt(4-100)
-------------------------
10
2± sqrt(-96)
-------------------------
10
2± sqrt(16)sqrt(-1) sqrt(6)
-------------------------
10
2± 4i sqrt(6)
-------------------------
10
1/5 ± 2/5 i sqrt(6)
Splitting the ±
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
Answer:
C. 2/5 full
Step-by-step explanation:
y · 1 = 1/15 · 6
y = 0.4
Answer: A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.
sorry if it appears messy!!!
Step-by-step explanation:
A triangle is a triangle is two of the side lengths is greater than the third side.
A- (18+6= 24). (24>23). (13+6=19). (19>18). This is a triangle.
B- (13+22=35). (35>7). (22+7=29). (29>13). (13+7=20). (20<22) This is not a triangle.
C- (22+13=35). (35>8). (13+8=21). (21<8). This is not a triangle.
D- (6+18=24). (24>12). (12+6=18). (18=18) This is not a triangle.
The correct answer is A.
