The division 4+2i/8-3i is performed by multiplying the numerator and denominator by (8+3i).
GivenThe division 4+2i/8-3i is performed by multiplying the numerator and denominator by
Expression; [tex]\rm \dfrac{4+2i}{8-3i}[/tex]
A complex conjugate is formed by changing the sign between two terms in a complex number i.e. a+ ib has conjugate a-ib and a- ib has conjugate like a+ ib.
The division 4+2i/8-3i is performed by multiplying the numerator and denominator by (8+3i).
[tex]=\rm \dfrac{4+2i}{8-3i}\\\\= \rm \dfrac{4+2i}{8-3i}\times \dfrac{8+3i}{8+3i}\\\\= \dfrac{(4+2i) \times (8+3i)}{(8)^2-(-3i)^2}\\\\= \dfrac{32+12i+16i+6i^2}{64+9}\\\\=\dfrac{32+28i+6i^2}{73}[/tex]
Hence, The division 4+2i/8-3i is performed by multiplying the numerator and denominator by (8+3i).
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help me with this step by step
Answer:
C
Step-by-step explanation:
Elevation of the plane is y.
y =
The airplane starts at an elevation of 8500 feet
y = 8500
It is said that the plane loses elevation at a rate of 150 feet per minute.
y = 8500 - 150
We don't know how many minutes the plane has been losing elevation so we use m
y = 8500 - 150m
Solve the equation for the variable.
[tex] - 5v + 9 = - v + 17[/tex]
v = [?]
Answer:
v= - 2
Step-by-step explanation:
...............
PLEASE HELP ME as soon as possible!!
Answer:
1/3 is answer.
I hope you got it. I had added solved answer too.
plz mark brainliest
Juan tried 16 free throw attempts playing basketball. He succeeded 9 times what is the experiential probability of not succeeding on his next attempt? write as a fraction
Answer:
The probability of not succeeding next attempt is 7/16
Step-by-step explanation:
Here in this question, we are asked to write the probability of not succeeding in the next attempt given that he attempted 9 success out of 16 trials.
To calculate this probability of not succeeding, we need to get it from the number of unsuccessful throws.
Thus, if 9 throws are successful out of 16, then the number of unsuccessful throws will be 16-9 = 7
So the probability of not succeeding on next attempt will be 7/16
If RS = 33.6 and QS = 79, find QR.
Answer choices are:
A. 35.4
B. 112.6
C. 33.6
D. 45.4
given the function f(x)=x^2+9 find f(x-2)
Answer:
x^2 -4x+13
Step-by-step explanation:
f(x)=x^2+9
Replace x with x-2
f(x-2)=(x-2)^2+9
FOIL
f(x-2)=x^2 -2x-2x +4+9
Combine like terms
= x^2 -4x+13
what is the smallest number by which 84 must be multiplied to make it a perfect square
If x is 5, then 6x=
A.) 30x
B.) 5x
C.) 30
Solution:
6x when x = 5
~Substitute
6(5)
~Multiply
30
Best of Luck!
2/5 of the fish in Brayden's fish tank are guppies. 3/5 of the guppies are red. What fraction of the fish in Brayden's tank are red guppies?
Answer:
6/25 of the fish are red guppies.
Step-by-step explanation:
2/5 of the fish in Gary's fish tank are guppies.
Out of 2/5 the of the fish in Gary's fish tank 3/5 of the guppies are red.
So, The fraction of fish in Gary's tank are red guppies = 3/5 x 2/5
=6/25
Hope this helps!
The least common denominator of the fractions: 7/8 and 1/4.
Answer:
8
Step-by-step explanation:
Since you can divide 4 into 8 evenly, it's the larger of the two - the lowest common denominator is 8.
The least common denominator of the fractions will be 4.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.
The least common denominator of the fractions:
7/8 and 1/4
Take 4 common from the denominator of both the fraction numbers 7/8 and 1/4. Then the number will be
7/2 and 1
The least common denominator of the fractions will be 4.
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Omar must put 50 feet of fencing around his rectangular patio. The length of the patio is one foot longer than three times the width. Determine the width of the patio.
What is the solution set for 2w+2(3w+1)=50 given the replacement set {6, 7, 8, 9} ?
6
7
8
9
Answer:
the answer is 6
Step-by-step explanation:
just had that question and got it right.
Which expression is a factor of 21x2 + 13x − 20?
Answer: 3x + 4 and or 7x - 5 whichever one is on your answer choices
Step-by-step explanation: the answer to that expression is (3x + 4)(7x - 5) a factor is either of those in parenthesis.
Evaluate 19+5 times 5 divided by 19-15
Answer:
19.2
Step-by-step explanation:
Just solve it
Simplify the expression 2/3+1/2(8+3 1/4)
Answer:
Step-by-step explanation:
2 + 1 ( 8 + 3 * 1/4 )
ـــــــــــــــ
3 + 2
=
2*2 + 1*3
ـــــــــــــــ
3*2 + 2*3
1
1 ــــــــــ
6
8 + 3 * 1/4
3 * 1
1 * 4
=
3/4
8*4 + 3
1*4 + 4
32 + 3
4 + 4
3
8 ـــــــــ
4
1 1/6 * 8 3/4
THE ANSWER
5
10 ـــــــ
24
What is B in the equation
Answer:
Step-by-step explanation:
Helppp pleaseeee help!:(
Answer:
I found the answer key for you
19−4c=17 Solve the equation
Step-by-step explanation:
19-4c=17
19-17=4c
2=4c
2/4=c
therefore, c=1/2
I need help with base of the expression the picture is down below
Answer:
11
Step-by-step explanation:
The number 11 is called the base, while the number 12 is called the exponent .
Answer:
11
Step-by-step explanation:
An exponential has the base at the bottom, or the lower portion. Think of "basement" to help remember this. The exponent is the number up top, so 12 is the exponent.
help!
i really need this
Answer:
9.6 or 48/5
Step-by-step explanation:
I divided 12 by 5, then multiplied the result by 4.
What’s 3+8x0+5? Please help quickly
Answer:
3+8x0+5
= 8
Step-by-step explanation:
8 is ur answer....
Write the equation for a line passing through (4, 13) and has a slope of 3
Answer:
Step-by-step explanation:
y - 13 = 3(x - 4)
y - 13 = 3x - 12
y = 3x + 1
Subtract. Write your answer as a fraction in simplest form.
-83/8-101/6
Answer:
Step-by-step explanation:
-653/24
what would be the solution to w(-4+z)=mz+17
Given that M is the midpoint of L and P. If LP=4x-1, LM=8, find x and LP
Answer:
LP = 16 units (8 + 8)
x = 4.25 units
Step-by-step explanation:
0.05 written in scientific notation
Answer:
5 x 10^2
Step-by-step explanation:
chloe is 5 feet 4 inches tall. There are 2.54 centimeters in 1 inch. What is chloes heigh in centimeters
Answer: 162.56 cm
Step-by-step explanation:
5 feet 4 is 64 inches
2.54 • 64 = 162.56
Chloe is 162.56 cm tall
Answer:
162.56
Step-by-step explanation:
multiply 2.54 by 64
f(x) = (x - 3)(x + 4)
Answer:
f(x)= x^2+x-12
Step-by-step explanation:
FOIL
First= (x)(x)=x^2
Outer=(x)(4)=4x
Inner=(-3)(x)=-3x
Last=(-3)(4)=-12
x^2+4x-3x-12
x^2+x-12
4. Mrs. Magee's class is collecting books to donate to the local library. The
class goal is to collect 60 books for the youth section, and Mrs. Magee's
student's have donated 15 books already. They plan to donate 3 more
books every week until they reach their goal. Which of the following could
be used to determine w, the number of additional weeks that Mrs. Magee's
class collects books?
A. 15W + 3 = 60
B. 15w - 3 = 60
C. 3w - 15 = 60
D. 3w + 15 = 60
Answer:
A
Step-by-step explanation:
You would think that 15* a number added with 3 is 60. So you would write it as 15W+3=60. Sorry if im wrong.
What is the with of the rectangle is 2 times more than 5 times the length. What are the dimensions of the rectangle if the perimeter is 52
Answer:
52x5x2 is your answer
Step-by-step explanation:
How many times larger is the area of Rectangle 2 than the area of Rectangle 1?
Write the answer in Scientific Notation and in Standard Form.
Answer:
I would need to see the rectangles and there areas to answer that sorry
