The modulus of the complex number -4+3i is 5.
Complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit,
A complex number is a number of the form a + bi, where a and b are real numbers.
The modulus (z) of a complex number x + iy is given by:
z = √(x² + y²)
The modulus of the complex number -4+3i is:
[tex]z=\sqrt{(-4)^2+3^2} =\sqrt{25}=5[/tex]
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a baker has 3 pounds of sugar. the baker will put the sugar into 5 canisters. each canister will get the same amount of sugar. How much sugar will be in each canister?
Answer:
3/5 or .6 grams of sugar
Step-by-step explanation:
You would just do 3/5 and get .6 Hope this helps :)
Answer:
Step-by-step explanation:
0.6 pounds
If m∠2=4x+7 and m∠7=5x-13, find x.
Answer:
x =20
Step-by-step explanation:
m∠2 ≅ m∠6 because they are corresponding angles
m∠6 ≅ m∠7 because they are vertical angles
∴ m∠2 ≅ m∠7 by substitution
4x+7 = 5x-13
7 = x-13
20 = x
The value of x is 20.
What are vertically opposite angles?Vertical angles are angles opposite each other where two lines cross.
What are corresponding angles?Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are corresponding angles.
According to the given question.
We have
m ∠2 = 4x + 7
and m ∠7 = 5x - 13
From the given figure we can say that
m ∠7 = m ∠6...(i) (because they are vertically opposite angles)
and m ∠6 = m ∠2...(ii) ( corresponding angles)
From (i) and (ii)
m ∠7 = m ∠2
⇒ [tex]5x - 13 = 4x + 7[/tex]
⇒ [tex]5x - 4x = 7 +1 3[/tex]
⇒ [tex]x = 20[/tex]
Hence, the value of x is 20.
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Plssssss help! I'm timed
Which represents a quadratic function?
A: f(x) = 2x3 + 2x2 – 4
B: f(x) = –7x2 – x + 2
C: f(x) = –3x + 2
D: f(x) = 0x2 + 3x – 3
Answer:
B: f(x) = –7x2 – x + 2
Step-by-step explanation:
The biggest exponent in a quadratic function is a 2.
A. Is NOT the answer because it has an exponent of 3 (that's a cubic not a quadratic)
C. Is NOT the answer because it is linear, if you graph it, it's a line. The highest exponent is 1.
D. Is NOT the answer, because even though it shows a power of 2, the coefficient (the number next to it) is a zero, so that term would fall out of the equation and it would be linear like C.
So B: f(x) = –7x2 – x + 2 is your answer. Its highest exponent is two and if you graph it, it would make a parabola.
Is the following statement true or false? If false, replace the bold word to make the statement
true.
A rhombus is an equiangular quadrilateral
Answer:
replace rhombus with square, or rectangle
Step-by-step explanation:
8(3x – 6) = 6(4x + 8)
Answer:
0=96
Step-by-step explanation:
8 x 3x= 24x 8 x- 6= -48 6 x 4x=24x 6x 8=48
24x -48= 24x+48
24x-24x= 48 +48
0= 96
By which rule are these triangles congruent?
АА
SAS
SSA
AAS
Answer:
it's AAS is my opinion
Step-by-step explanation:
Answer:
AAS
Step-by-step explanation:
we can eliminate two of the answer choices from the start. AA and SSA do not prove triangle congruence. we are then left with SAS and AAS. we can see that there is one pair of sides and one pair of angles marked congruent on the triangles. the triangles are formed by intersecting lines which form vertical angles. according to the vertical angles theorem, those two angles will be congruent. therefore, these triangles are proven congruent by AAS. hope this helps!
the triangles are similar. what is the value of x? enter your answer in the box.
Answer:
l*b*h is the answer of this question
Mr. Johnson is purchasing chicken for a family
BBQ. He purchases 7.8 pounds of chicken that costs
$3.60 per pound. How much change should Mr.
Johnson receive if he gives the cashier a $50 bill?
Bailey and Elena compete in a swim race. Their times are
shown below.
Round each time to the nearest whole second. Then estimate how
many seconds Bailey won the race by.
50-m Freestyle Results
Time
Swimmer
(seconds)
Bailey 35.78
DONE
Elena
39.51
11
Complete
&
ty
Answer:
3.7
Step-by-step explanation:
39.5 - 35.8 is 3.7
[tex]39.51=40\\ 35.78=36\\\\ 40-36=16 more seconds more than Bailey.[/tex]
if its any number from 5 and larger, you can round it up to a whole.
EASY 9TH GRADE MATH
Write an equation in point-slope form that passes through the point (1,-10) and
is perpendicular to y = -1/3 x + 5.
Do NOT type spaces between numbers and symbols.
Til
ALE
11
SE
Answer:
y = 3x - 13
Step-by-step explanation:
Jane wrote all the natural numbers from 5 to k. including 5 and k
how many numbers did Jane write?
need help!!!
Given that "Jane wrote all the natural numbers from 5 to k. Including 1 and k"
So Jane wrote k numbers.
lets take an example
if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.
Hence she write k numbers.
Jane wrote k - 4 natural numbers for the given condition.
What are natural numbers?Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
Jane wrote all the natural numbers from 5 to k, including 5 and k.
So, she wrote the numbers as 5, 6, 7, 8, 9, ..., k.
To find out how many numbers Jane wrote, we have to subtract 4 from each of these numbers because 4 numbers (1, 2, 3, 4) come before 5.
1, 2, 3, 4, 5, ..., k-1
So, there are k-1 - 4 + 1 = k - 4 natural numbers between 5 and k, inclusive.
Therefore, she wrote k - 4 natural numbers.
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6.
Two cars A and B 250 km apart are traveling towards each other on the same road. Car A travels at 55 km/h
while car B travels at 70 km/h.
(a) When will they meet on the road?
(b) Find the distance each car travels before they meet.
Answer:
At 2 hours they will meet on the road
Car A: 110 km; Car B: 140 km
Step-by-step explanation:
Since the total distance is 250 km, we know that when the sum of the miles driven by each car adds to 250, they will meet.
Let x be the time, in hours.
Miles Travelled
Car A (55km/h)x
Car B (70 km/h)x
(55km/h)x + (70 km/h)x = 250
55x + 70x = 250
125x = 250
x = 2 hours At 2 hours they will meet on the road
Distance Travelled
Car A (55km/h)2 = 110 km
Car B (70 km/h)2 = 140 km
Finley is making a pancake recipe
that calls for 3 cups of flour. He uses
13 cups of white flour and the rest will
be wheat flour. How many cups of
wheat flour will Finley need?
arkadaşım bilemiyorum
Can someone please help me <3
Answer:
x = 9
Step-by-step explanation:
10 + x/3 = 13
x/3 = 13 -10
x/3 = 3
x = 3*3 = 9
Answer:
9
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 10 from both sides of the equation:
[tex]\frac{x}{3} + 10 = 13\\\\\frac{x}{3} + 10 (-10) = 13 (-10)\\\\\\\frac{x}{3} = 13 - 10\\\\\\\frac{x}{3} = 3[/tex]
Next, isolate the variable, x, by multiplying 3 to both sides of the equations:
[tex](\frac{x}{3}) * 3= (3) * 3\\\\x = 3 * 3\\\\x = 9[/tex]
~
Congruence Criteria for a Parallelogram's two triangles is:
ASA
HL
AAS
SSS
Answer:
ASA
Step-by-step explanation:
two angles are the same and one side is the same
_________________ help the group manage relationships
a.
Social roles
b.
Leadership roles
c.
Task roles
d.
Individual roles
Please select the best answer from the choices provided
A
B
C
D
Answer:
B
Step-by-step explanation:
Leadership roles help the group manage relationships
[] Leadership is the action of leading a group of people or an organization, so this best completest the answer
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What is the approximate area of the home including the balcony.
Answer:
LxWxH=A
Step-by-step explanation: multiply LxWxH=A
Find the number of hours worked from 7:34 A.M.
to 11:48 A.M., assuming pay is for full quarter-
hours.
Answer:
3 hours
Step-by-step explanation:
If pay is for full quarter hours, then the worker won't get paid for work intervals of less than 15 minutes.
Subtract 7:34 from 11:48: we get 3:14 hours. Because the 14 minutes is less than the 15 minutes of a full quarter hour, the worker won't get paid for those 14 minutes.
So the 'number of hours worked' is 3 hours.
Note that 3:14 would be 3 hours 14 minutes.
What is the surface area of the cylinder with height 2 in and radius 8 in? Round your
answer to the nearest thousandth.
Answer:
502.655
Step-by-step explanation:
The actual answer was 502.655
Four times a number decreased by 5 is 67. Find
the number…
Answer:
288
Step-by-step explanation:
Do the reverse.
67+5= 72
72*4= 288.
hope this helped :)
The equation and graph show the cost to rent movies
from two different companies. The cost is a function of
the number of movies rented.
Which description best compares the two functions?
Answer:
Hello! Your answer should be there is a higher rate of change at Company 1.
Step-by-step explanation:
Hope this helped! :)
Have a great rest of your day!
You have 64 inches of blue
fabric and 96 inches of green
fabric. You want to cut the fabric
into pieces of equal length with
no leftovers. What is the greatest
length of the pieces that you can
make?
Answer:
Step-by-step explanation:
48 times for the green fabric
32 for blue
Please Help Question in picture
Also could you drop your socials so I can ask a few more questions through dm's im running low on brainly points
Answer:
the coordinates of B are; (7,3)
Prove the following:
1 + cos^2 A = 2 ( cos^4A + sin^4A)
The 2 sides of the equation are not equal; hence, I cannot prove them to be true.
how much is 75 decreased by 8% ???
Answer:
69
Step-by-step explanation:
The number 75 decreased by 8% means that you are looking for 92% of 75. To find a percent of the number you can multiply a number by the percent in decimal form. So, to find 92% of 75, multiply 75*0.92. This gives you 69. Doing this is the same as finding 8% of 75 and then subtracting.
which quadratic inequality does the graph below represent?
y> or equal to x^2-3.
y< or equal to x^2+3.
y< or equal to x^2-3.
y> or equal to x^2+3
Answer:
y< or equal to x^2-3.
I hope it helps.
LOOKING FOR THE ANSWER TO # 6Saving money is something that everyone should do, if they are able, even if the amounts are small. In
this activity, you will calculate savings based on patterns and graph and compare different functions that
represent savings.
Below is a savings plan for Jeanette. Use this table to answer the questions below.
# of Months Saving Account Balance
2 $70
4 $90
6 $110
8 $130
10 $150
1. How much money will Jeanette have saved after 12 months?
2. How much money will Jeanette have saved after 24 months?
3. In how many months will Jeanette have saved $140? $190?
4. What is the rate of change?
5. How does knowing the rate of change help you in answering questions in this problem?
6. What equation would you write to represent this data?
I'm not that good at explaining but here are my answers:
1- 170
2-340
3- 9 months for $140 and 14 months for $190
4- 10
5-If the x (or months savings) goes up or down, so does the y (or account balance)
6- 70y +20n= 2x
explanation:
1- 150 + 20 = 170
2- 170*2= 340
3-the number always goes up by 20, if it's something like an uneven number, let's say 3, which is after 2, add 10.
4- can't explain this, I used a calculator
5- i don't think I have to explain
6- I don't know, I just took a random equation and "plugged in" the numbers from the equation I was working on.
I actually need help please help quickly
Answer:
NEED MORE
Step-by-step explanation:
Solve for x in the equation p(m+qx)=rx+n
[tex]p(m+qx)=rx+n\\\\\implies pm+pqx = rx+n\\\\\implies pqx-rx = n-pm\\\\\implies x(pq -r) = n-pm\\\\\implies x = \dfrac{n-pm}{pq-r}[/tex]
triplicate ratio of 2:1 is
Answer:
8/27
Step-by-step explanation:
The triplicate ratio of 2:3 is 2^3/3^3 = 8/27
HAVE A GREAT DAY!