Answer: 4800
Step-by-step explanation:
The value of x in the equation is 26.7
<h3>How to solve an equation?</h3>
0.75x + 1.5y = 40
−1.5x − 1.5y = −60
add both equation to eliminate y .
Therefore,
−1.5x + 0.75x = -0.75x
1.5y + (- 1.5y) = 0
40 + (-60) = -20
Hence,
-0.75x = - 20
divide both sides by -0.75
-0.75x / -0/75 = - 20 / -0.75
x = - 20 / -0.75
x = 26.6666666667
x = 26.7
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Answer:
Let 
and 
.
a)
b)
c) Now we calculate the direction of 
and 
We calculate the direction of like this:
. Since, 
, then the direction of is 
.
Now, for
.
Answer:
x = 4 ± 5i
Step-by-step explanation:
Just use the quadratic formula (ax²+bx+c=0) like you would for every other quadratic equation. Substitute i² for -1 when you get the square root of a negative number.
a = 1
b = -8
c = 41
Solution is x = (8 ± √(64-4·41)) / 2
x = 4 ± (√-100) / 2
x = 4 ± (√-25·4)/2
x = 4 ± √-25
x = 4 ± √(25i²)
x = 4 ± 5i
