A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).a = and b =
Answers
Answer:
Hence, we have:
a= 3 and b= 4
Step-by-step explanation:
It is given that:
A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).
i.e.
Since, we know that :
Hence, we have:
i.e. we have:
and
On multiplying equation (1) by 2 and equation (2) by 3 we get:
on putting the value of a into equation (1) we get:
2a+3ai+2bi+3bi²-i=-11+11i+5i-5i²
2a+(3a+2b-1)i-3b=-11+16i+5
(2a-3b)+(3a+2b-1)i=-6+16i
Therefore; we have the next system of equations:
2a-3b=-6
3a+2b-1=16
Finally, the system of equations is:
2a-3b=-6
3a+2b=17
We can solve this system of equations by reduction method
2(2a-3b=-6)
3(3a+2b=17)
----------------------
13a=39 ⇒a=39/13=3
3(2a-3b=-6)
-2(3a+2b=17)
----------------------
-13b=-52 ⇒ b=52/13=4
Answer: a=3; b=4
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Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20?-5-1/2 = -3 -10-2/2 = -4 1+5/2 = 3 2+10/2 = 4
A.
Miranda will ask Mr. Giuffreda for an extension.
B.
Miranda will no longer be Mrs. Brody's assistant.
C.
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D.
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Answers
Answer:
D). Miranda did not finish her book report on time.
Step-by-step explanation:
i took the test and it was right, i promise.
Answer:
I think it would be B.
Step-by-step explanation:
This is just a guess but I'm taking the test right now.
Answers
Answers
The standard form and word form for the decimal represented by 700 + 40 + 06 + 0.08 + 0.006 are as follows:
Standard Form: 746.086
Word Form: Seven hundred forty-six and eighty-six thousandths
➥The relationship between the two 6s in the decimal 746.086 is that they represent different place values. The first 6 is in the tens place, representing 60, and the second 6 is in the thousandths place, representing 0.006. They are separated by three place values, which are hundreds, tenths, and hundredths.
Answer:
Certainly! Let's work on both problems:
**Problem 11:**
Write the standard form and word form for the decimal represented by 700 + 40 + 06 + 0.08 + 0.006.
Standard Form: The standard form of a decimal involves adding all the numerical values together.
Standard Form: 700 + 40 + 06 + 0.08 + 0.006 = 746.086
Word Form: The word form of the decimal is how you would say the number in words.
Word Form: Seven hundred forty-six and eighty-six thousandths.
Relationship between the two 6s: Both "06" and "0.006" represent the same value of six thousandths (0.006). They both contribute to the total value of the decimal.
**Problem 12:**
You haven't provided a specific problem or question for number 12. If you have another question or need assistance with something else, please feel free to ask, and I'll be happy to help.
Answers
Answer:
1/12
Step-by-step explanation:
First, find common denominators. Note that what you do to the denominator, you must do to the numerator.
(3/4)(3/3) = 9/12
(2/3)(4/4) = 8/12
Subtract:
9/12 - 8/12 = 1/12
1/12 is your answer.
~
Answer:
1/12
Step-by-step explanation:
Answers
Answer:
The product 12 × 15 in friendlier numbers is (10 + 2) × (10 + 5) = 180
Step-by-step explanation:
The parameter given are;
To 12 × 15 by changing the numbers into friendlier numbers
The product in 12 × 15 written with friendlier numbers (or in a simplified format can be given as follows;
12 × 15 = (10 + 2) × (10 + 5)
Which gives;
(10 + 2) × (10 + 5) = 10² + 10 × 5 + 2 × 10 + 2 × 5
From which we have;
10² + 10 × 5 + 2 × 10 + 2 × 5 = 100 + 50 + 20 + 10 = 180
Therefore;
12 × 15 = 180.
Final answer:
To calculate 12 x 15 using friendlier numbers, break down 15 into 10 and 5, multiply these by 12 to get 120 and 60 respectively, then add these together to get 180.
Explanation:
To calculate 12 x 15 using friendlier numbers, you can break either 12 or 15 down into numbers that are easier to multiply and then combine those results. Here, we'll break down 15 into 10 and 5, which are friendlier numbers.
- First, multiply 12 by 10: 12 x 10 = 120.
- Next, multiply 12 by 5: 12 x 5 = 60.
- Finally, add the two results together: 120 + 60 = 180.
So, 12 x 15 = 180 using friendlier numbers.
Learn more about Multiplication Using Friendlier Numbers here:
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What is the diameter in centimeters?
Answers
1 cm = 10,000 micrometers
7.5 micrometers.
? Cm = 7.5 micrometers X 1 centimetre/10000 micrometers.
? Cm = 0.00075 cm
So 7.5 micrometers = 0.00075 centimetres.