Answer:
We want to solve the equation:
(6 - 1) + (3m)i = -12 + 27i
Where m is a complex number.
first, we can rewrite this as:
5 + 3*m*i = -12 + 27*i
3*m*i = -12 - 5 + 27*i
3*m*i = -17 + 27*i
And we can write m as:
m = a + b*i
Replacing that in the above equation we get:
3*(a + b*i)*i = -17 + 27*i
3*a*i + 3*b*i^2 = -17 + 27*i
and we know that i^2 = -1
3*a*i - 3*b = -17 + 27*i
The real part in the left (-3*b) must be equal to the real part in the right (-17)
then:
-3*b = -17
b = -17/-3 = 17/3
And the imaginary part in the left (3*a) must be equal to the imaginary part in the right (27)
then:
3*a = 27
a = 27/3.
Then the value of m is:
m = a + b*i = (27/3) + (17/3)*i
-1/5 (x - 4) = -2
(-1/5)x + (4/5) = -2
-2 can be turned into -10/5
(-1/5)x = (-10/5) - (4/5)
(-1/5)x = -14/5
multiply by -5 on both sides
x = 14
hope this helps :)
The sequence an = -5 + (n - 1)14 is an arithmetic sequence
The value of a10 is 121
<h3>How to determine the the a10-th term?</h3>
The sequence is given as:
an = -5 + (n - 1)14
To calculate the value of a10, we set n = 10
So, we have:
a10 = -5 + (10 - 1) * 14
Evaluate the difference
a10 = -5 + 9 * 14
Evaluate the product
a10 = -5 + 126
Evaluate the sum
a10 = 121
Hence, the value of a10 is 121
Read more about sequence at:
brainly.com/question/6561461
Answer:
The cost of one hamburger is $2.19.
Step-by-step explanation:
Let h = cost of a hamburger
f = cost of a french fries
3h + 4f = 10.77-------->3h + 4f = 10.77
4h + 2f = 10.86------->8h + 4f = 21.72
---------------------
5h = 10.95
h = 2.19, f = 1.05
