Answer:
41Step-by-step explanation:
Given a complex number z = x+iy, the modulus of the complex number is expressed as |z| = √x²+y².
Given the complex number z = 9+40i
The modulus of the complex number z will be expressed as;
|z| = √9²+40²
|z| = √81+1600
|z| = √1681
|z| = 41
Hence the modulus of the complex number |9+40i| is 41. Note that a complex number will return a real value.
Answer:
|9+40i| = 41
|-10+24i| = 26
He should have used 13 instead of 13i.
Step-by-step explanation:
PLEASE MARK BRAINLIEST
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sarah is drawing a parallelogram abcd on a coordinate plane. the parallelogram has the coordinates A(-7,5) B(6,5) and D(-9,-2). which of the following coordinates should sarah use for point c?
A. (6,-3)
B. (4,-5)
C. (4,-2)
D. (6,3)
Answer:
(4,-2)
Step-by-step explanation:
Okay, I figured out the answer...
You need to use the [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2}}[/tex] formula.
We know that AB is parallel to CD....(so whatever answer ad is, then cd will have that same answer).
We also know that AD is parallel to BC...(so whatever answer ad is, then bc will be the same).
So we need to find AB, CD, AD, BC. We have to do CD and BC later because we don't have the c.
Find AB: [tex]\frac{5-5}{6-(-7)}[/tex]= [tex]\frac{0}{13}[/tex]= 0
Find AD: [tex]\frac{-2-5}{-9-(-7)}[/tex] = [tex]\frac{-7}{-2}[/tex]
So now that we have the basic ones, we know that AB is parallel to CD. Therefore CD should have the same slope of 0/13 or 0. SO we need to find numbers that combine with the x and y of AB. When they do combine, they should give a fraction of 0/13.
Find CD: [tex]\frac{-2+2}{-9-4}[/tex] ( we already had the -2...what number adds to -2 to make it zero?...positive 2.....Then, we already had -9 from the D coordinates. So what # adds/subs to -9 to make it 13 or -13...well 4 does. Remember to put the correct signs (-+) in the equation. Our answer is 4,-2). If we had to use positive two, then we take the opposite for our answer. We used -4, so we take the opposite for our answer. Then later on, you can plug in (4,-2) into BC to see if you were to get the slope of -7/-2. which you do.
Solve for C please help me if the answer is correct I will mark you as the best answer!?!!!?!!
Answer:
Option 1
Step-by-step explanation:
When you move the a2-2b to the other side of the equation, their signs change too.
Answer:
option 1 is correct..
Hope it helps
Marli worked 37 hours this week.
She earned $15 per hour. She spent $62 on a
birthday gift for her sister. How much money
does Marli have left?
Answer:492
Step-by-step explanation:
What is the value of x in the equation - x - y = 30, when y = 15?
Answer:
X is 45
X-15=30
X=30+15
X=45
Step-by-step explanation:
i hope that hepled :)
Answer:
-15-y=30
Step-by-step explanation:
x + 27 = 93
what does x =
Answer:
x=66
hope this helped :)
1. How do you identify the terms in an expression? 2. How do you determine the coefficient of a term if you don’t see a number in the term?
A term is an expression is a set of constants, variables, and exponents, while the coefficient of a term is the numerical value present in the term.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A term in an expression is a set of constant or numerical values, variables, and exponents. Each term of an expression is differentiated from others by a mathematical operation. For example, in the expression 2x²+6x-5, 2x², 6x, and -5 all three are terms and it is differentiated from others by the '+' and '-' operators.
The coefficient of a term is the numerical value present in the term. Let's understand this with the similar example above.
In term 2x², 2 is the coefficient.
In term 6x, 6 is the coefficient.
Hence, a term is an expression is a set of constants, variables, and exponents, while the coefficient of a term is the numerical value present in the term.
Learn more about Expression here:
https://brainly.com/question/13947055
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What is the equation of a line that is perpendicular to y = -1/5x + 1 and passes through point (0, -2)?
Answer:
y = 5x - 2
Step-by-step explanation:
The slope will be 5, because that is the opposite reciprocal of the original slope, -1/5
Then, plug the slope and the given point into y = mx + b to find b:
y = mx + b
-2 = 5(0) + b
-2 = 0 + b
-2 = b
Then, plug the y-intercept and the slope into the equation:
y = 5x - 2 will be the equation
midpoint of AB with A(-3, 5) and B(1, 7).
Answer:
(- 1, 6 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = A(- 3, 5) and (x₂, y₂ ) = B(1, 7) , thus
midpoint = [ [tex]\frac{1}{2}[/tex] (- 3 + 1 ), [tex]\frac{1}{2}[/tex] (5 + 7) ] = (- 1, 6 )
The two lines shown intersect at the point (a,b). Find ab. Each unit square in the grid represents a distance of 1.
Answer:
(9/5, 8/5)
Step-by-step explanation:
First you want to find the equations of the lines. One line is y = 2x - 2 and the other line is y = 1/3x + 1. Then you want to find the x and y that both work in the two equations.
y = 2x - 2
y = 1/3x + 1
Then you do 2x - 2 = 1/3x + 1
Then you do some maths and you get 9/5, and 8/5
Choose the number in which the digit 2 is ten times greater than the digit 2 in 426.
Answer: 237
Step-by-step explanation:
Ok we can write 426 as:
400 + 20 + 6
Then the 2 in 426 is in the place of the tens and represents a 20.
If we want a number with a 2 that is 10 times greater than 20, we have that:
10*20 = 200.
Then we should find a number with a 2 in the hundreds place, an example can be:
237
where we can write this number as:
237 = 200 + 30 + 7
and the 2 is in the hundreds place.
describe how you can tell by lookin at a graph of a function which variable is the input variable and which is the output variable
Answer:
The output variable will be on the y-axis, the input variable will be on the x-axis.
Step-by-step explanation:
To create a function, we must an equation in the form of
[tex]Y(x) = kx + b[/tex]
The x-axis of a graph will be what we change in the function. We will get a certain value ([tex]Y(x)[/tex]) that changes when the right side of the function changes. This means that the input of the function will be [tex]x[/tex].
The y-axis of a graph will be what the x-axis makes. In this case, it's [tex]Y(x)[/tex]. This is the output of the graph after given the input. This means the output is [tex]Y(x)[/tex].
Hope this helped!
What is the value of 1-44|?
Answer:It would be positive 44
Step-by-step explanation:
Answer:
-43
Step-by-step explanation:
Find the product. (3x2 + 2y) (5x2 + y) A. 15x4 + 13x2y + 2y2 B. 15x4 + 13x2y2 + 2y2 C. 8x4 + 10x2y.+ 3y2 D. 15x4 + 10x2y + 2y2
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}}}[/tex]
Option A is the correct option.
Step-by-step explanation:
[tex] \sf{(3 {x}^{2} + 2y)(5 {x}^{2} + y)}[/tex]
Use the distributive property to multiply each term of the first binomial by each term of the second binomial.
Thenafter, Simplify
[tex] \dashrightarrow{ \sf{3 {x}^{2} (5 {x}^{2} + y) + 2y(5 {x}^{2} + y)}}[/tex]
[tex] \dashrightarrow{ \sf{15 {x}^{4} + 3 {x}^{2} y + 10 {x}^{2} y + 2 {y}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}[/tex]
Hope I helped!
Best regards! :D
Sarah has 8 cups of canned tuna for making tuna salad sandwiches. She uses 1/2 of a cup of canned tuna in each sandwich. what is greatest number of sandwiches she can make using 8 cups of canned tuna?
A. 1/8 B.2 C.1/16 D.16 please let me know thank you for your help!
The greatest number of sandwiches she can make using 8 cups of canned tuna is D...16 sandwiches.
Simplify:
(7y2 + + 3xy - 9) - (2y2 + 3xy - 5)
Answer:
[tex]\huge\boxed{\sf 5y^2 -4}[/tex]
Step-by-step explanation:
[tex]\sf (7y^2 + 3xy -9) - (2y^2+3xy-5)\\\\Resolving \ Parenthesis\\\\7y^2 + 3xy-9 -2y^2 -2xy+5\\\\Combining \ like \ terms\\\\7y^2-2y^2+3xy-3xy-9+5\\\\Adding \ or \ Subtracting\\\\\boxed{\bold{\sf 5y^2-4}}[/tex]
Find the value of (x) 2x + 2(-3x-5)=26
Answer:
x = -9
Step-by-step explanation:
Solve for x:
2 (-3 x - 5) + 2 x = 26
2 (-3 x - 5) = -6 x - 10:
2 x + -6 x - 10 = 26
2 x - 6 x = -4 x:
-4 x - 10 = 26
Add 10 to both sides:
(10 - 10) - 4 x = 10 + 26
10 - 10 = 0:
-4 x = 26 + 10
26 + 10 = 36:
-4 x = 36
Divide both sides of -4 x = 36 by -4:
(-4 x)/(-4) = 36/(-4)
(-4)/(-4) = 1:
x = 36/(-4)
The gcd of 36 and -4 is 4, so 36/(-4) = (4×9)/(4 (-1)) = 4/4×9/(-1) = 9/(-1):
x = 9/(-1)
Multiply numerator and denominator of 9/(-1) by -1:
Answer: x = -9
The ratio table below shows the relationship between cups of sauce and servings of spaghetti. Spaghetti Cups of sauce Servings 1 2 2 4 ? 8 10 20 How many cups of sauce are needed for 8 servings of spaghetti? 3 4 6 8
Answer:
B. 4
Step-by-step explanation:
I need help on math problem ASAP giving brainlist
Answer:
i'm pretty sure its improper.
Step-by-step explanation:
:) I really hope this helps
preform the indicated opperation 5 1/6 - -2 2/3
Answer:
7 5/6
Step-by-step explanation:
Since you're a subtracting a negative, ti cancels each other out and ends up in addition. So it's 5 1/6+2 2/3. And to add fractions the denominators must be the same.
Thus, you multiple 2/3 * 2= 4/6. So 5+2=7.
And 1/6+4/6=5/6.
Therefore the answers is 7 5/6.
16 – 7 + 22–12 + 18-9
Answer:
16 - 7 + 22 - 12 + 18 - 9 = 28
Hope it helps :)
Which of the following contains examples of ALLITERATION? Question 2 options: “We real cool. We left school.” “We lurk late. We strike straight.” “My soul has grown deep like the rivers.” “I’ve known rivers; ancient, dusky rivers.”
Answer:
We lurk late. We stike straight.
Step-by-step explanation:
Alliteration is the repetition of the beginning sounds ir letters of words.
Ex: Lucy is lazily laughing.
Sally takes 2 5/6 minutes to drive from her home to the local shopping center. She spends 1/5 of this time waiting at traffic lights. Find the number of minutes she spends waiting.
Answer:
[tex]\dfrac{17}{30}[/tex] minutes.
Step-by-step explanation:
It is given that Sally takes [tex]2\dfrac{5}{6}[/tex] minutes to drive from her home to the local shopping center.
[tex]2\dfrac{5}{6}=\dfrac{2(6)+5}{6}[/tex]
[tex]2\dfrac{5}{6}=\dfrac{12+5}{6}[/tex]
[tex]2\dfrac{5}{6}=\dfrac{17}{6}[/tex]
She spends 1/5 of this time waiting at traffic lights.
Waiting time in traffic [tex]=\dfrac{17}{6}\times \dfrac{1}{5}[/tex]
[tex]=\dfrac{17}{30}[/tex]
Therefore, waiting time is [tex]\dfrac{17}{30}[/tex] minutes.
2x-3y=15 solve and show steps please!!
what is the value of x in the equation 2x + 5 = 21
Answer:
x=8
Step-by-step explanation:
2x + 5 = 21
Subtract 5 from each side
2x+5-5 = 21-5
2x= 16
Divide each side by 2
2x/2 = 16/2
x = 8
Answer:8
Step-by-step explanation:
2 times eight plus five is 21
Problem is in the picture. HELP asap please!! I’m so confused
Answer:
A 22w = 1540
B Width = 70 feet
Length = 700 feet.
Step-by-step explanation:
A. If the width is w then the length is 10w.
Perimeter = 2* (length + width) so
2(10w + w) = 1540
22w = 1540.
B. 22w = 1540
w = 1540 / 22
w = 70 feet.
l = 70 * 10 = 700. feet.
If 10% of * =3, find 20% of *
Answer:
6
Step-by-step explanation:
if the 10% is equal to 3 then 20% is
10/3 = 20/x cross multiply
60 = 10x
6 = x
Answer:
6
Step-by-step explanation:
I think the answer is 6 because if 10%=3 and 10 is half of 20, then 3 is going to be half of 6.
Hope this helps!
1.
Next
Expressions: Mastery Test
Select the correct answer from each drop-down menu.
Use the given expression to complete the statements.
58 - 8/3y + 13) - 1
In the first term, 5 is a
In the second term (3y + 13) is a
In the third term. -1 is a
Reset
Next
Complete question :
Select the correct answer from each drop-down menu.
Use the given expression to complete the statements.
5x - 8(3y + 13) - 1
In the first term, 5 is a
In the second term (3y + 13) is a
In the third term. -1 is a
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression : 5x - 8(3y + 13) - 1
In the first term :
5 a Coefficient, which is the numerical value which exists before and multiplying a variable usually in an algebraic expression. Hence since 5 exists before the variable x, then 5 is the Coefficient of x.
(3y + 13) is a factor in the expression 8(3y + 13), it was used to get a simplified form of the initial expression 24y + 104
-1 is a constant term in the algebraic expression as it has no variable attached to it
Given expression to complete the statements.
5x - 8(3y + 13) - 1Given the expression : 5x - 8(3y + 13) - 1
In the first term, 5 is a Coefficient, which is the numerical value that exists before and multiplying a variable usually in an algebraic expression.(3y + 13) is a factor in the expression 8(3y + 13), it was used to get a simplified form of the initial expression 24y + 104-1 is a constant term in the algebraic expression as it has no variable attached to it.Learn more on expression and coefficient here: https://brainly.com/question/17673900
Help!!! Help please! Any help is appreciated
Answer:
infinity
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Infinity and beyondddd
An item has a listed price of $80. If the sales tax rate is 7%, how much is the sales tax (in dollars)
Multiplying a listed price by the percent can get you the sales tax, and then you can add.
[tex]80*0.07=5.6[/tex]
(0.07 is 7% converted into a decimal)
[tex]80+5.6=85.60[/tex]
So the item is $85.60 after sales tax.
You may also notice that multiplying the listed price by 1.07 will get you the same answer, without the need to add the sales tax.
[tex]80*1.07=85.60[/tex]
Hope this helps.
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