Answer:
If Z is a complex number:
Z = a + b*i
where a and b are real numbers, and i is an imaginary number.
Then "a" is the real part.
"b*i" is the imaginary part.
The conjugate of Z is:
Zc = a - b*i
So the sign of the imaginary part changes.
Then:
Sum:
Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a
and remember that a is a real number, then 2*a is also a real numer.
The correct answer is "A real number".
Difference:
Z - Zc = (a + bi) - (a - bi) = 2b*i
and this is a pure imaginary number, so here the correct answer is: "a pure imaginary number"
Answer: a pure imaginary number
explanation:
The sum of a complex number and its conjugate will always be two times the real part of that complex number.
Z=a+b*i
where a and b are real numbers, and i is an nonexistent number.
Then a is the real part.
"b*i" is the imaginary part.
The connection of Z is:
Zc = a - b*i
So the sign of the imaginary part changes.
Sum:
Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a
and remember that a is a real number, then 2*a is also a real number.
The correct answer is "A real number".
Difference:
Z - Zc = (a + bi) - (a - bi) = 2b*i
g(x)= 2x-4
f(x)= -3x-4
Find (g • f)(x)
Answer:
Step-by-step explanation:
(2x - 4)(-3x -4)
-6x^2 - 8x + 12x + 16
-6x^2 + 4x + 16
Aaron puts $1,000 in an account that pays 10% interest compounded quarterly. He leaves it in the account for six months. Estimate how much interest he earns.
Answer: $50.63 --- Interest
Step-by-step explanation:
Step 1
Using the formulae
A = P(1 + r/n)^nt
Where
A = principal + interest Amount
P = Principal Amount = $1000
t = Time in years= 6months = 0.5 years
n = number of compounding periods= quarterly =4
Step 2
6 months = 6/12 = 0.5 years
Rate = 10 % = 0.1
A = P(1 + r/n)^nt
= 1000 ( 1 + 0.1/4)^(4 x 0.5)
=1000(1 +0.025)^2
= 1000(1.025)^2
= 1000 x 1.050625
A= $1,050.625
but A = principal + interest Amount
Interest = A- Principal=$1,050.625-$1,000
=$50.625
How to solve 2m - 3 = 13
Answer:
m=8
Step-by-step explanation:
Answer: m=8
Step-by-step explanation:
2m-3=13
Add 3 to -3 and 13 to cancel the number without a variable
-3+3=0 13+3=16
2m=16
Divide 2 on each side
2/2=0 16/2=8
M=8
What is shrek’s ultimate life form
shrek himself is the ultimate life form
Answer:
This is Shreks ultimate form.
Step-by-step explanation:
This is Shreks ultimate form.
Which represents a function? A 2-column table with 5 rows. The first column is labeled x with entries negative 10, negative 5, 0, 5, 10. The second column is labeled y with entries 84, 31.5, 4, 1.5, 24. A mapping diagram shows a relation, using arrows between domain and range for the following ordered pairs: (8, negative 4), (negative 2, 10), (negative 2, negative 7). In the domain, the number 3 does not have a relation to a number in the range. A series of ordered pairs: (4, 5), (6, negative 2), (negative 5, 0), (6, 1)
Answer:
The 1st table represents a function
Step-by-step explanation:
Just trust me on this I took the quiz on edge 202 and got it right
the graph is
x | Y
--------------
-5 | -22
--------------
0 | -2
------------
3 | 10
Given f(x) = 2x + 1, find the range value if the domain value is 1.75.
Given:
The function is
[tex]f(x)=2x+1[/tex]
To find:
The range value if the domain value is 1.75.
Solution:
Domain is the set of input values and range is the set of output values.
Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.
Substitute x=1.75 in the given function.
[tex]f(1.75)=2(1.75)+1[/tex]
[tex]f(1.75)=3.5+1[/tex]
[tex]f(1.75)=4.5[/tex]
Therefore, the required range value is 4.5.
. Jane made a door frame for the house but does not have a tool to measure the angles. How can she check that the corner is 90 degrees?
Answer:
She needs to measure the length of the diagonal and two sides of the frame. Then she needs to find the square of each measure. If the sum of the squares of the two smaller sides equals the square of the diagonal, then she created a right triangle.
Step-by-step explanation:
edg 2022
what is 5 ÷ ⅔ I really need help guys
Answer:the answer is 7.5 if you need to round it up it’ll be 8 if you need it as a fraction it’ll be 7 1/2
Step-by-step explanation:
4 solve the equation below 5 =g/4
Answer:
g = 20
Step-by-step explanation:
multiply both sides by 4 to get g = 20
Answer:
g=20
Step-by-step explanation:
multiply both sides by 4
Add then divide.
Evaluate
(7.3 X 10) + (2.4 X 107)
(4 X 104)
Answer:
6.0 x 10^2
Step-by-step explanation:
(7.3 X 10) + (2.4 X 10^7)
(4 X 10^4)
= 73 + 24000000
40000
= 24000073
40000
= 6.0 x 10^2
Which statements are biconditional? Check all that apply.
All triangles and rectangles are polygons.
Sam bakes cookies or he bakes bread.
If it is fashionable, then this store sells it.
If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.
Victoria will play outside if and only if the weather is nice.
The statements that are biconditional include:
If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.Victoria will play outside if and only if the weather is nice.What is a biconditional statement?A biconditional statement combines a conditional statement with its inverse. As a result, one conditional is true if and only if the other is also true. It frequently employs the phrase "if and only if" or the abbreviation "if." The double arrow indicates that the conditional must be true in both directions.
Examples are that if and only if the polygon is a quadrilateral, it has four sides. If and only if the polygon has four sides, it is a quadrilateral. If and only if the quadrilateral is a square, it has four congruent sides and angles.
Learn more about biconditional on:
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I need help ASAP, due in an hour. Will give 5 stars and brainiest to the first person.
Answer:
5n is a term= true
3m and 5n are NOT like terms=true
these are the correct answers
Step-by-step explanation:
these are the wrong ones
a variable would be m or n
coefficients would be 3 and 5
If these two trapezoids are similar, what is the measure of the missing angle?
90°
1150
900
65°
Answer:
degree.
the answer is would have to be 900
The measure of the missing angle in the similar trapezoid is 90°.
In the given trapezoid the measure of angles are 90°, 115°, 90° and 65°.
What are similar figures?Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.
Given that, the two trapezoids are similar
Here, the measure of the missing angle in the other trapezoid is 90°
Therefore, the measure of the missing angle in the similar trapezoid is 90°.
Learn more about the similar figure here:
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The box-and-whisker plot below
shows the test scores for the last
quiz. What is the interquartile range?
IS
40
50
60
70
80
90
100
Answer:
Interquartile range = 40
Step-by-step explanation:
interquartile range = Q3-Q1
It has 7 numbers, in order to make it even we remove the middle number (70) to make two sets of quartiles
Q1 = 50 (middle of the lower quartile)
Q3= 90 (middle of the higher quartile)
A line segment has the endpoints U(4,8) and V(4, 6). Find the coordinates of its midpoint M.
Write the coordinates as decimals or intogor
Answer:
Step-by-step explanation:
(4 + 4)/2 = 8/2= 4
(8 + 6)/2= 14/2= 7
(4, 7) the midpoint
Consider M, N, and P. collinear points on MP. What is the difference between the ratio MN:NP and the ratio MN: MP? PLEASE HELPPPPPPP
Answer:
The amount between each. Since you didn't attachment any further information like the amount of M, N, and P or a graph chart- I'll only be able to give an example.
Let's say M is equal to 3, N is equal to 1, and P is equal to 2. All together these spaces add up to 6 which can be evenly space out or distributed unevenly.
Like M:N= 3:1 or N:P = 1:2. As you can tell all together (all you have to do is add 3&1 or 1&2) you'll get the result of 4 or 3 and they aren't similar. Let me know if this helps! I know sometimes seeing technically terms and numbers can be difficult so I tried to explain with words as best I could. Good luck to you.
Y=Mx+B what would m be
which expressions are equivalent to 2? Choose ALL that apply. 6 6 6 6 6 6 2.2.2.2.2.2 2.6 4.16 12 - 12 8.8
Answer:
2,4,6,8,12,16
Because it is 2 times 3 equals 6
2 times 1 equals 2
2 times 2 equals 4
2 times 8 equals 16
2 times 3 equals 6
2 times 4 equals 8
2 times 6 equals 12
and they are all a factor of 2
A mathematical sentence without an equal sign. pick from one of these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio
Answer:
expression
Step-by-step explanation:
hope this helps
Solve the equation below. -1/5x-18=2
Which function has an inverse that is a function?
b(x) = x^2 + 3
d(x) = -9
m(x) = -7x
px) = |x|
Answer:
Its going to be C on 2020 edg
Step-by-step explanation:
The sum of five consecutive integers is five. What is the product of the five integers?
Answer:Let n = the smallest integer
Then the other integers are n+1, n+2, n+3 and n+4
Sum = n + n+1 + n+2 + n+3 + n+4 = 5n + 10 = 5(n + 2)
So the sum is always divisible by 5, for any value of n
Step-by-step explanation:
given a right-angled triangle with perimeter 18. The sum of the squares of the three side lengths is 128. What is the area of the triangle ?
Answer:
9units²
Step-by-step explanation:
A triangle has 3 sides. Let the length of the three sides be a, b, c.
If the perimeter of the triangle is 18, then;
P = a+b+c
a+b+c = 18... 1
If the sum of the squares of the three side lengths is 128, this means;
a²+b²+c² = 128... 2
Since the triangle is also right angled, according to Pythagoras theorem;
c² = a²+b²... 3 (taking c as the hypotenuse)
Substitute equation 3 into 2;
(a²+b²)+c² = 128
c²+c² = 128
2c² = 128
c² = 128/2
c² = 64
c = √64
c = 8
Substituting c = 8 into 1
a+b+c = 18
a+b+8=18
a+b = 10 ...... 3
Substituting c = 8 into 2
a²+b²+c² = 128
a²+b²+8² = 128
a²+b²+64 = 128
a²+b²= 64..... 4
Solve equation 3 and 4 simultaneously;
a+b = 10
a²+b²= 64
From 4; a = 10-b
Substitute a = 10-b into 4;
(10-b)²+b² = 64
100-20b+b²+b² = 64
2b²-20b+100-64 = 0
2b²-20b+36 = 0
Divide through by 2:
b²-10b+18 = 0
b = 10±√10²-4(18)/2
b = 10±√100-72/2
b =( 10±√28)/2
b =(10±√4×7)/2
b = (10±2√7)/2
b = 5±√7
Hence b = 5+√7
If a+ b = 10
a+(5+√7 ) = 10
a = 10-(5+√7)
a = 10-5-√7
a = 5-√7
Area of the triangle A = 1/2 ab
A = 1/2 × (5+√7) × (5-√7)
A = 1/2 × (25-5√7+5√7-7)
A = 1/2 × (25-7)
A = 1/2 × 18
A = 9
Hence the are of the triangle is 9units²
round the numbers to estimate the quotient 29 1/5 divided by 4 6/7
Answer:
The anwser is 6.01176470588
M is between L and N. If LN = 91 and LM = 23, find MN.
Answer:
MN = 68
Step-by-step explanation:
LN = 91
LM = 23
Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:
LM + MN = LN
23 + MN = 91 (Substitution)
Subtract 23 from both sides
23 + MN - 23 = 91 - 23
MN = 68
0.018 ÷ 0.03. NO WRONG ANSWERS OR ELSE WILL REPORT. IF CORRECT WILL MARK U AS BRAINILIST
whats 4x4 +65x67-5+8+9=
4,383 I hope I got that right, Hope it helps!
add 3 on both sides
divide 5 on both sides
x=2
Find the coordinates of the midpoint of XY for X(-2,3) and T(-8,-9)
Answer:
Midpoint of XY = ( - 5, - 3)
Step-by-step explanation:
[tex]Midpoint \: of \: XY \\ = \bigg( \frac{ - 2 + ( - 8)}{2}, \: \frac{3 + ( - 9)}{2} \bigg) \\ = \bigg( \frac{ - 2 - 8}{2}, \: \frac{3 - 9}{2} \bigg)\\ = \bigg( \frac{ - 10}{2}, \: \frac{ - 6}{2} \bigg)\\ Midpoint \: of \: XY = ( - 5, \: - 3)[/tex]
HELP ME PLZZ I DONT UNDERSTAND THIS!!!!!!
Answer:
1/2
Step-by-step explanation:
y = kx
where k is the constant of proportionality
y = 1/2 x so k= 1/2