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:
The answer to your question is: x = 32
Step-by-step explanation:
Data
x = ?
It is an equilateral triangle so, the three angles measure the same
2x - 4 = 5y
2x - 5y = 4
The sum of the internal angles in a triangle equals 180°
3(5y) = 180
5y = 180/3
5y = 60
y = 12
2x - 4 = 5y
2x - 4 = 5(12)
2x = 60 + 4
2x = 64
x = 64/2
x = 32
You have to substitute each of the numbers given.
a.
2 + (3)^3
2 + 27
Answer: 29
b.
(1/2)^2
Answer: 1/4
c.
3(5)^2 + (3)
75+3
Answer: 78
d.
10(4) + (6)^2
40 + (6)^2
40 + 36
Answer: 76
Answer:
didn’t make a mistake
Step-by-step explanation:
