when you multiply a pair of conjugates you get a real number
can this number ever be negative? If yes give an example.if not explain why not.
Answer: The complex conjugate has a very special property. Consider what happens when we multiply a complex number by its complex conjugate. We find that the answer is a purely real number it has no imaginary part. This always happens when a complex number is multiplied by its conjugate the result is real number.
Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers
Step-by-step explanation: Every complex number has a complex conjugate. The complex conjugate of a + bi is a - bi. For example, the conjugate of 3 + 15i is 3 - 15i, and the conjugate of 5 - 6i is 5 + 6i.
Suppose you have a triangle with only 1 median drawn. Without constructing its other 2 medians, explain how you can locate the centroid of the triangle.
9514 1404 393
Answer:
trisect the median. The centroid is 1/3 its length from the side.
Step-by-step explanation:
The centroid divides each median into parts with a ratio of 2:1. If you trisect the median, the centroid will be 1 unit from the side and 2 units from the vertex.
Work out the surface area of this cylinder.
Answer:
266pi
Step-by-step explanation:
SA = 2*pi*r^2 + 2pi*r*h
= 2pi*r(r+h)
r = 7 and h = 12
2*pi*7(7+12) = 14pi*19=266pi
Answer:
TSA = 2 pi r (r+h)
2×3.14 ×7 (7+12)
835.24 sq.cm
Solve:
3x+y=-3
3x+y=3
UVWX is a parallelogram. Solve for x. Question 13 options: A) 30 B) 120 C) 50 D) 60
Answer:
its 60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
PLEASE HELP. WILL MARK BRAINLIEST TO THE PERSON WITH THE BEST ANSWER. PLEASE SHOW FULL SOLUTIONS. As shown in the diagram, the lines through points P and Q, and through points R and S are parallel. A transversal intersects the parallel lines at the point P and S, respectively, such that ⦣QPS=(2k+89)° and ⦣PSR=(3k+61)°.
Find the measure of ⦣QPS and ⦣PSR in degrees. THANK YOU VERY MUCH AND GOD BLESS.....
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Answer:
∠QPS = 101°
∠PSR = 79°
Step-by-step explanation:
The marked angles are called "same-side interior angles" or "consecutive interior angles". By either name, they are supplementary.
(2k +89) +(3k +61) = 180
5k +150 = 180 . . . . . . . . . collect terms
5k = 30 . . . . . . . . . subtract 150
k = 6 . . . . . . . divide by 5
Then the angles are ...
∠QPS = (2·6 +89)° = 101°
∠PSR = (3·6 +61)° = 79°
Answer:
∠QPS = 2 x 6 + 89 =101°
∠PSR = 3 x 6 + 61 =79°
Step-by-step explanation:
∠QPS and ∠PSR are consecutive interior angles, they are supplementary
(2k+89) + (3k+61) = 180
5k + 150 = 180
5k = 180-150 = 30
k = 6
∠QPS = 2 x 6 + 89 =101
∠PSR = 3 x 6 + 61 =79
The diameter of a circle is 4 ft. Find its area in terms of π
Answer:
D/2=r
4/2=2
A= pi r^2
A= pi 4^2
A= pi16
A= 50.265
Step-by-step explanation:
plz help will mark brainly
☆*: .。. o(≧▽≦)o .。.:*☆
Which of the following does not show a range?
90-100
0-100
50
80-90
Answer:
50
Step-by-step explanation:
PLEASE HELP...When you have a problem like the one listed below... What do you do with your exponents?
Answer:
you multiply xy by itself 4 times and then after you solve that you have to multiply that variable by itself 6 times.
Step-by-step explanation:
Hope this helps
Have a great day!
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] ⇔ [tex]a^{mn}[/tex]
That is each exponent of the terms inside the parenthesis is multiplied by the exponent outside the parenthesis
[tex](xy^{4}) ^{6}[/tex]
= [tex]x^{1(6)}[/tex] [tex]y^{4(6)}[/tex]
= [tex]x^{6}[/tex] [tex]y^{24}[/tex]
Someone help plz!! I need some anyone who’s good with slope help?
Answer:
1/6
Step-by-step explanation:
Slope is calculated as rise over run. Rise is the change in the y-axis while run is the change in the x-axis.
The two coordinates are (-2, -3) and (4, -2).
From (-2, -3), if you go up 1 unit, you would be at (-2, -2). If you go to the right 6 units, you would be at (4, -2).
So, the slope is 1/6.
Hope that helps.
What is 3.63x10/8 in standard notation
Answer:
363000000
Step-by-step explanation:
3.63x10/8
move decimal 8 to the right
3.63
36.3
363
3630
and so on :D
Answer:
ht67u66re22 Peru 6554 ;%÷×
Factor the following polynomial by grouping. If it cannot be factored, indicate "Not Factorable".
ax−4bx+4ay−16by
HELP ASAP AND BRAINLEST
8^1/3 or how to do it with any fractions
Answer:
2
Step-by-step explanation:
When given a fractional power, you want to try to see if the base has any power that can be used to simplify the power.
Since a^b/c =
[tex] \sqrt[b]{ {a}^{c} } [/tex]
8^1/3=
[tex] \sqrt[3]{ {8}^{1} } [/tex]
8 times by it self it 8
cube root of 8 is three numbers that are the same and times by each other to give 8
2×2×2=8
》2
Hank put $10,000 in an account for 10 years. The account earned 2.5% interest. How much interest had been earned by the end of the 10 years?
Answer:
A = P ( 1+ i )^n
A = 10,000(1+0.025)^10
= 10,000(1.025)^10
= $12,800.84
Step-by-step explanation:
A = future amount
i = interest rate
n = number of years
P = Present value
i.e i = 2.5% , P = $10,000 and n = 10 years
Write a unit rate for the situation.
102 beats per 2 minutes
:beats per minute
Answer:51
Step-by-step explanation:102 beats : 2 min
?beats :1 min
Do 102 times 1 which gives you 102 .Then divide by 2 and you get 51.
Hope it helps. :)
102 beats per 2 minutes then 51 beats per minute.
What is Division?A division is a process of splitting a specific amount into equal parts.
It is given that,
102 beats per 2 minutes
We need to calculate how many beats per minute.
To do this we just have to divide One hundred two by two
102/2
Fifty one beats.
51 beats per minute
Hence 51 beats per minute.
To learn more on Division click:
https://brainly.com/question/21416852
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The variable y varies directly with x . If x=2 and y = −7, find y when x = −6.
Answer:
Step-by-step explanation:
X=2
Y=-7
Then if x is -6 u have to find what times 2 is -6 Which is -3.
so -7 x -3 is 21. Y is 21
Step-by-step explanation:
[tex] \frac{2}{ - 6} = \frac{ - 7}{y} \\ y = \frac{( - 6) \times (- 7)}{2} \\ y = \frac{42}{2} \\ \boxed{y = 21}[/tex]
21 is the right answer.HELP!!! 10 points marked brainliest!!!! stuck
Please help me thank you
Answer:
31
Step-by-step explanation:
A straight line has the angle 180 and this one is split by line segment BO. The 180 is now split into 149+x=180, so subtract 149 from both sides to get x=31
can someone please answer this for me?
Answer:
proportional<3
Step-by-step explanation:
Can someone help me? y=2.5x
Answer:
x = y / 2.5
Step-by-step explanation:
helpppp!! please I'm desperate!
Answer:
In math, a unit fraction can be defined as a fraction whose numerator is 1. It represents 1 shaded part of all the equal parts of the whole.
Step-by-step explanation:
Charlie earns a commission of 4.5% of the amount he sells. Last week, he sold
$1682 in sporting goods. How much was his commission?
Answer:
Charlie earned $75.69
Step-by-step explanation:
I NEED ANSWER QUICKK
Answer:
The answer is B
Step-by-step explanation:
I hope this helps :))
At what values of x, does f(x) = 0?
A. 4
B. 0
C. 2
D. 4.2
E. -8
F. -1
Answer:
-1, 2, 4
Step-by-step explanation:
f(x) is the function's value at any given x. In other words, it's your function's y coordinate. You're looking for where the y coordinate is zero - so, in other words, the x intercepts. Luckily for you, all the x-intercepts here are clearly marked and they were kind enough to give you the coordinates.
what is the image of the point (3,4) after a rotation of 90 degree counterclockwise about the origin
Answer:
(- 4, 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
(3, 4 ) → (- 4, 3 )
Generate an equivalent expression using prime factorization for each number.
24
a) 2x2x6
b)2x4x3
c)2x2x2x3
Answer:
A
Step-by-step explanation:
Is ur answer !!
Simplify the expression (4-7i)-(3 + 2i).
Answer:
brainliest plsssss
Step-by-step explanation:
4−7i−(3+2i)
=1−9i
daniel won 55 pieces of gum playing basketball at his schools game night. later he gave four to each of his friends. he only has 7 remaining. how many friends does he have
Answer:
7 6/9
Step-by-step explanation:
55/x=7
Answer: He has 12 friends
Step-by-step explanation: if you multiply 12 times 4 you get 48 and 48 plus 7 is 55. Hope This Helps!!
Please help me I WILL MARK BRAINLIEST
Answer:
B
Step-by-step explanation:
lyn put 3 7/8 gas in her gas tank. If there are now 18 1/6 gallons in her tank, how many gallons did she start with?
Answer:
14.3 gallons
Step-by-step explanation:
18 1/6 gallons - 3 7/8 = 14.29
18 - 3 = 15
1/6 - 7/8 = 15 - 0.70833333333 = 14.2916666667
You need to be careful here if you use basic subtraction, simply as two minus would change to addition.