Answer:
Last given option is the correct answer:
"The product of complex conjugates is a sum of two squares and is always a real number."
Step-by-step explanation:
The product of two conjugates can be described and solved like this:
[tex](a + b\,i) \,(a - b\,i)= a^2-a\,b\.i+a\,b\,i-b^2\,i^2=a^2+0-b^2\,(-1)= a^2+b^2[/tex]
so, no matter what the values for the real values a and b are, the product is always a real number and the sum of two squares.
Answer:
(a + bi)(a – bi) = a2 – (bi)2 = a2 + b2
The product of a complex number and its complex conjugate is
✔ always
a real number.
If y=3/5x+26 find the value of y when x=12
Answer:
46
Explanationy = 3 /5x +26
y =?
X= 12
y=3 /5x + 26
y= 3 / 5 × 12 + 26
y = 3 / 60 + 26
y = 20 + 26
y = 46 ans
does anyone know this?
Answer:
[-10, 3]
Step-by-step explanation:
Hello!
To find the range of a graph you look at the lowest point and the highest point
The highest point is 3
The lowest point is -10
The range is [-10, 3]
Hope this helps!
Answer:
-10, 3
Step-by-step explanation:
high: 3
low: -10
the order of the 2 coordinates goes left or right, then up or down
( plz mark me as brainliest, that would be most appreciated! )
(6+a) divided by 5 -2
Answer:
(6+a)/3
Step-by-step explanation:
(6+a)/5-3
5-3=2
(6+a)/2
you will use 2 operations when doing algebra. true or false
Answer:true
You will be using 2 operations
Simplify the following expression: 4(y + 3) − 6(y − 2) + 5
Answer:
-2y +29
Step-by-step explanation:
Answer:
-2y+29
Step-by-step explanation:
please help on 19 and 20
Answer:
c and d
Step-by-step explanation:
Answer:
C AND D
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Solve |2x - 5| = 4 I dont know what you solve for
Hello!
Answer:
[tex]\huge\boxed{x = 1/2, 9/2}[/tex]
|2x - 5| = 4
Solve for the negative and positive expressions:
2x - 5 = 4
2x = 9
x = 9/2
------------
-(2x - 5) = 4
-2x + 5 = 4
-2x = -1
x = 1/2.
Therefore, the solutions are x = 1/2 and 9/2.
How can I identify witch of those numbers don’t belong with the other there 50.1 -50 over two -50.1 square root of 50?
I'm assuming you were given these four values
50.1, -50/2, -50.1, sqrt(50)
where 'sqrt' stands for 'square root', and the slash symbol means divide or fraction.
If my assumption is correct, then the term that does not belong is sqrt(50). This is because the other values are all rational. We can express them as a fraction of two whole numbers
50.1 = 501/10-50/2 is already a fraction, no need to do any work for this one-50.1 = -501/10But we can't do the same with sqrt(50). It is irrational. Note how 50 is not a perfect square. Your calculator will show that sqrt(50) = 7.07106781186548 and that decimal sequence goes on forever without any pattern. If you were given sqrt(49), then it would work because sqrt(49) = 7 = 7/1.
find a9 if the geometric sequence is: 567,-189,63
Answer:
3720087
Step-by-step explanation:
Given that,
A geometric sequence : 567,-189,63
First term is : 567
Common ratio : 567/-189 = -3
The nth term of a GP is given by :
[tex]a_n=ar^{n-1}[/tex]
n = 9
So,
[tex]a_9=567\times (-3)^{9-1}\\\\a_9=3720087[/tex]
So, the 9th term of the geometric sequence is 3720087.
What is the slope of a line between (-17,6)and (-18,11)
Answer:
m = -5
Step-by-step explanation:
m = (y₂ - y₁) / (x₂ - x₁)
m = (11 - 6) / (-18 - ( -17))
m = 5 / (-18 + 17)
m = 5 / -1
m = -5
(x+4) (x+10)
simplify
Answer:
x^2 + 14x + 40.
Step-by-step explanation:
(x+4) (x+10)
= x(x + 10) + 4(x + 10) ( By the Distributive Law)
= x^2 + 10x + 4x + 40
= x^2 + 14x + 40.
Answer:
x^2+14x+40
Step-by-step explanation:
xx+x*10+4x+4*10= xx+10x+4x+4*10
Then simplify
x^2+14x+40
I hope this helps!
Please help! ASAP!!! C:
Answer:
Equation: 5.88/3=p-0.75
The original price for apples was $1.21
Step-by-step explanation:
Equation explanation:
$5.88 divided by 3 pounds of apples = the original price per pound - the $0.75 increase in price
$5.88 for 3 pounds of apples
we divide 5.88 by 3 to see how much money it was per pound
5.88/3=1.96
subtract 1.96 from the price increase of .75
1.96-.75=1.21
A church spire casts a shadow on the level ground. At the tip of the shadow, the tip of the spire lies 25° upward. Walking 100 m closer, the tip of the spire is at an angle of 55°. What must be the height of the spire in Figure 2?
Answer:
The height of the spire must be 69.24 m
Step-by-step explanation:
The information given are;
The initial angle of elevation of the tip of the spire from the tip of the shadow = 25°
The angle of elevation of the tip of the spire from the tip of the shadow after moving 100 m closer = 55°
The change distance moved closer to the church spire = 100 m
Let the base angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow be 25° and ∠x°
We have;
∠x° and the 55° angle of the ray from the tip of the spire to the tip of the shadow are supplementary angles (angle on a straight line)
Therefore;
∠x° = 180° - 55° = 125°
The calculated angle 125° above, the given 25° and the angle in between the two rays from the tip of the spire to the tip of the shadows are the interior angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow
Let the angle in between the two rays from the tip of the spire to the tip of the shadows = y
Therefore;
125° + y° + 25° = 180 (Angle sum theorem)
y° = 180° - (125° + 25°) = 30°
By sin rule, we have;
100/(sin (30°)) = (The length of the initial ray from the tip of the spire to the tip of the shadow before the shift)/(sin(125°))
Let the length of the initial ray from the tip of the spire to the tip of the shadow before the shift = l
100/(sin (30°)) = l/(sin(125°))
l = (sin(125°))×100/(sin (30°)) = 163.83 m
The height of the spire, by trigonometric ratio = sin(25°) × 163.83 m = 69.24 m
The height of the spire = 69.24 m.
Od=125
d) f = 120
11. Melissa is buying a sweater. The original cost of the sweater
is $18.00. The sweater is 15% off, and sales tax is 8%. How
much will the sweater cost?
a) $14.08
O b) $12.24
O c) $16.52
O d) $15.30
Answer:
Hey there!
The sweater is selling for 85% of the original price
0.85(18)=15.30
1.08(15.30)=16.52
Let me know if this helps :)
The solution is Option C.
The total cost of the sweater is $ 16.52
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the original cost of the sweater be = $ 18
Let the sales tax percentage be = 8 %
Let the discount of the sweater be = 15 %
So , the equation for the total cost of the sweater is
The cost of the sweater after discount of 15 % is = original cost of the sweater - discount of the sweater x original cost
The cost of the sweater after discount of 15 % is = 18 - ( 15/100 ) x 18
= 18 - 0.15 x 18
= 18 - 2.7
= $ 15.3
Now , the cost of the sweater after sales tax of 8 % is = cost of the sweater after discount + sales tax percentage x cost of the sweater after discount
So , the equation is
The cost of the sweater after sales tax of 8 % is = 15.3 + ( 8/100 ) x 15.3
= 15.3 + 0.08 x 15.3
= 15.3 + 1.224
= $ 16.524
Hence , the total cost of the sweater is $ 16.52
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
Bottle A can hold 3L more juice than bottle B. Bottle D can hold 5L more juice than bottle A. Bottle C can hold 3L less juice than bottle A.
Answer:
This may be incomplete, i will try to answer this in a general way.
We have 4 bottles, A, B, C and D.
If A is the volume of Bottle A, B is the volume of bottle B, C is the volume of bottle C, and D is the volume of bottle D, we have that:
A = B + 3L.
D = A + 5L
C = A - 3L.
Let's solve this system the most we can (we can not fully solve the system because we have more variables than equations)
First, taking the third equation and adding 3L in both sides, we have:
C + 3L = A.
This is equivalent to the first equation, so we have that C = B.
now, we have two equations:
A = B + 3L
D = A + 5L
We can replace the first equation into the second equation and get:
D = A + 5L = (B + 3L) + 5L = B + 8L
So bottle D can hold 8L more juice than bottle B (and because bottle B and bottle C have the same volume, bottle D can hold 8L more juice than bottle C)
Now, we can order the bottles depending on the volume:
Bottle D is the one with larger volume.
Bottle A comes next.
Bottles C and B are the smaller ones, and they are together because they have the same volume.
what is mid point theorem
Answer:
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
Step-by-step explanation:
i don't have an explanation though
Answer:
The theory of midpoint theorem is used in coordinate geometry stating that the midpoint of the line segment is an average of the endpoints. Both the ‘x’ and the ‘y’ coordinates must be known for solving an equation using this theorem. The Mid- Point Theorem is also useful in the fields of calculus and algebra.
Step-by-step explanation:
Write the equation
y + 5 = 4(x + 2)
in slope intercept form
(y mx + b).
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b
Given
y + 5 = 4(x + 2) ← distribute the parenthesis
y + 5 = 4x + 8 ( subtract 5 from both sides )
y = 4x + 3 ← in slope- intercept form
2+2=????????????????????????????????????
Answer:
The answer is 4
Step-by-step explanation:
1+1+1+1=4
what is the gcf of of -9y^2 + 6y
Answer:
3y
Step-by-step explanation:
First find the factors of the terms. You need to then figure out how many factors match.
-9y² = -1 · 3 · 3 · y · y
6y = 2 · 3 · y
3y is the greatest common factor.
can anyone plz help?
Answer:
89.76 yd^2
Step-by-step explanation:
The area is given by
A = bh
A = 10.2 * 8.8
A =89.76 yd^2
Which of the following numbers are perfect squares? Choose all that apply. A 27 D 108 B 36 E 121 C 81 F 169
algebra isn’t my best subject, please help
The Distributive property states that when we have the statement a(b + c), we can "distribute" the a by multiplying a times both terms that are inside the parenthses.
So in this problem, 2(5 + 7) can be simplified by distributing the
2 through both terms that are inside the set of parenthses.
So we have (2 · 5) + (2 · 7).
Answer:
Distributive Property
Step-by-step explanation:
You are distributing the 2 to the 5 and 7. which goes from 2(5+7) to 10+14.
C. How do the processes you used for
parts A and B differ? How are they the same?
Answer:
Original Medicare comes in two parts. Medicare Part A covers hospital services, skilled nursing facility care, hospice, and some home health care. Medicare Part B covers medical services, including doctor visits, preventive screenings, certain vaccinations, lab tests, and durable medical equipment.
On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0). What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)? 3x + 5y = −9 3x + 5y = 9 5x − 3y = −15 5x − 3y = 15
Answer:
5x -3y = 15
Step-by-step explanation:
First find the slope of the line through ( -3,2) and (2,-1)
m = (y2-y1)/(x2-x1)
=( -1-2)/(2--3)
= -3/(2+3)
= -3/5
We want a line that is perpendicular so the slopes will multiply to -1
m * -3/5 = -1
Multiply each side by -5/3
m * -3/5 * -5/3 = -1 *-5/3
m = 5/3
The slope of the perpendicular line is 5/3
We have a slope and a point
Using point slope form
y-y1 = m(x-x1)
y-0 = 5/3( x-3)
y = 5/3( x-3)
Distribute
y = 5/3x -5
Multiply each side by 3
3*y = 3(5/3x -5)
3y = 5x - 15
Subtract 5x from each side
-5x+3y = -15
Multiply each side by -1
5x -3y = 15
Answer:
D. 5x − 3y = 15
May I have brainliest please? :)
Find the volume for the following composite object.
Answer:
[tex] Volume = 7440.16 ft^3 [/tex]
Step-by-step explanation:
Volume of the composite object = volume of cylinder - volume of rectangular prism
Volume of the composite object = πr²h - whl
where,
π = 3.14
r = 14 ft
h = 14 ft
w = 6 ft
l = 14 ft
[tex] Volume = (3.14*14^2*14) - (6*14*14) [/tex]
[tex] Volume = 8616.16 - 1176 [/tex]
[tex] Volume = 7440.16 ft^3 [/tex]
Which of the following characteristics of experiments are also characteristics of surveys? Check all that apply.
A. Data are gathered during the course of the study.
B. The study involves one or more treatment groups and a control group.
C. The study compares two or more treatments (possibly including no treatment")
D. Replication with different groups of subjects can improve the reliability of the study.
E. Statistical analysis is applied to the results of the study.
Answer: The best answers are :
A Data are gathered during the course of the study E. Statistical analysis is applied to the results of the studyD. Replication with different groups of subjects can improve the reliability of the study.Step-by-step explanation:
I hope it helps :)
Answer:
a and c
Step-by-step explanation:
Tickets for a concert cost $2 for children, $3 for students, and $4 for adults. Ticket sales totaled $522 and 177 people attended the concert. Twice as many students as adults attended. Find how many of each type of ticket were sold. Assume that everyone who bought a ticket attended the concert.
Answer:
Children = 51
Adults = 42
Students= 84
Step-by-step explanation:
Children = $2
Students = $3
Adults = $4
Total sales = $522
Total people who attended = 177
Adults =a
Students = s= 2a
Children = c
c+s+a = 177 (1)
2c+3s+4a=522 (2)
Substitute s=2a into the equations
c + 2a + a = 177
c + 3a = 177 (3)
2c + 3(2a) + 4a = 522
2c + 6a + 4a = 522
2c + 10a = 522 (4)
c + 3a = 177 (3)
2c + 10a = 522 (4)
Multiply (3) by 2
2c + 6a = 354 (3b)
2c + 10a = 522
Subtract (3b) from (4)
10a - 6a = 522 - 354
4a = 168
Divide both sides by 4
a= 168/4
= 42
a= 42
s= 2a
= 2(42)
= 84
s= 84
Substitute the value of s and a into (1)
c+s+a = 177 (1)
c + 84 + 42 = 177
c + 126 = 177
c = 177 - 126
= 51
c=51
Children = 51
Adults = 42
Students= 84
ANSWER FAST ...............
Answer:
The answer is
Step-by-step explanation:
First term 8. I am a 100% sure.
Hope this helps....
Have a nice day!!!!
|-12+3|= simply the expression
Answer:
|-12+3|=9
Step-by-step explanation:
Hello, -12+3=-9 and then we have to take the absolute value of -9, which is 9.
Thank you
Answer:
9
Step-by-step explanation:
|-12+3|
|-9|
9
f(x) = 3•2^x
h(x) = 2x - 7
h(f(2)) =
Answer:
17
Step-by-step explanation:
f(x) = 3•2^x
h(x) = 2x-7
f(2) = 3•2^2
= 3•4
= 12
h(f(2)) = 2(12) - 7
= 24 - 7
= 17