6/(4 - 13i) = 6/(4 - 13i) * (4 + 13i)/(4 + 13i) = (24 + 78i)/(16 + 169) = 6/185 (4 + 13i)
Answer:
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<h3>Given equations</h3>
- v + 8w = 4v and - m + 5n = - 2
<h3>Solve the first equation for v</h3>
- v + 8w = 4v
- 4v - v = 8w
- 3v = 8w
- v = 8w/3
<h3>Solve the second equation for n</h3>
- - m + 5n = - 2
- 5n = m - 2
- n = (m - 2)/5
The pints of paint that Mike needs to buy in order to paint 4 boxes is 9 pints.
How many pints is needed?
The first step is determine the total surface area of a box.
Total surface area of a cuboid = 2 (lw + wh + lh)
where:
l = length
w = width
h = height
2 x[ (5 x 9/2) + (9/2 x 7/2) + (5 x 7/2) ]
2 x ( 45/2 + 63/4 + 35/2) = 111.5ft
The second step is to determine the total surface area of 4 boxes:
111.5 x 4 = 446
Now, divide 446 by 50
446 / 50 = 9 pints
Answer:
17
Step-by-step explanation:
Step-by-step explanation:
2x²+3x-2=0
(2x-1)(x+2)
x+2=0
x=-2 (no, because x must be >0)
2x-1=0
2x=1
x=½ (yes, because x>0)