Answer:
D
Step-by-step explanation:
If a, b are real numbers and 7a + i(3a - b) = 14 - 6i , then find the values of a and b.
If a, b are real numbers and 7a + i(3a - b) = 14 - 6i, then find the values of a and b. Therefore, the value of a = 2 and the value of b = 12. 3.
The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.
The equation is given below.
7a + (3a - b)i = 14 - 6i
Compare the real part of the equation, then we have
7a = 14
a = 14 / 7
a = 2
Compare the imaginary part of the equation, then we have
3a - b = - 6
3 x 2 - b = -6
6 - b = - 6
b = 6 + 6
b = 12
The value of the variables 'a' and 'b' of the complex equation will be 2 and 12, respectively.
More about the complex number link is given below.
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Solve the system:
x + 6y = 17
X - 3y = 8
Answer: y=1, x=11
Step-by-step explanation: make x in one side in an equation and substitute it in the other and get the value of y then substitute y in one of the equations and get the value of x
x= 8+3y
8+3y+6y=17
9y=9
y=1
X=11
3. 5 points
(2) There are two shades of light blue paint getting mixed. Mixture A is made with 5 cups of blue paint and 2 cups of white paint. Mixture B is made with 10 cups of blue paint and 6 cups of white paint. Which mixture is a lighter shade of blue? *
Mark only one oval.
Mixture A
Mixture B
Both make the same shade of blue.
With an explanation please.
Answer:
Mixture B
Step-by-step explanation:
What is the percent of increase from 900,000 to 1,000,000?
Round your answer to the nearest tenth of a percent and include a percent sign (%),
Answer:
1000000/900000= 10/9= 1.1111111111*100=11.11%
40 is 60% of what number? **ROUND TO THE NEAREST TENTH** *
Answer:
66.7
Step-by-step explanation:
hope this helps
Answer:
40 is 60% of 66.7
Step-by-step explanation:
By using the bowtie method, you can check as 40 multiplied by 100 equals 4,000. Then divide 4,000 by 60 to get 66.66666. Since you round to the nearest tenth, it'll be 66.7
hope this helps! =)
6a-2a=2a(3-1) - what property is this
Answer:
Distributive and associative.
Step-by-step explanation:
The equation involves distributing, and rearranging the order, so the properties are distributive and associative.
Hope this helps, and have a great day!! C:
What is the vertex of the graph of the function below?
y= x2 - 10x + 21
O A. (5,-4)
B. (3,0)
O C. (5,0)
OD. (3,-4)
Answer:
Step-by-step explanation:
A. (5,-4)
The vertex of the graph of the function is (5,-4).
The answer is option A.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the vertex of the function y = x² - 10x + 21,
We can use the formula:
x = -b/2a
where a is the coefficient of the x² term, b is the coefficient of the x term, and x is the x-coordinate of the vertex.
In this case,
a = 1 and b = -10, so:
x = -(-10)/(2 x 1) = 5
To find the y-coordinate of the vertex, we can substitute x = 5 into the function:
y = (5)² - 10(5) + 21 = -4
Therefore,
The vertex of the graph of the function is (5,-4).
Learn more about functions here:
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A centroid of a triangle is always inside the triangle because the
passes through a vertex and the side opposite.
A. median
B. angle bisector
C. altitude
D. perpendicular bisector
Rachel finished
3
_
4
of the race in 6 hours. How long was the entire race?
Answer:
8 hours
Step-by-step explanation:
Answer:
bjhmiukjgjhkuijkl
Step-by-step explanation:
PLEASE PLEASE HELP!!!!
Answer:
It's A or B but I think B
Step-by-step explanation: