Answer:
d 21xysxhducux6cyvivivi
Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.
Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.
a. What is the minimum value of the modulus of n?
√10
Provide one example of the complex number, n.
A = J → 2 + 6i
B = F →75
C = H → -3 - i
D = I → 1 + i
E = G → 5 + 5i
these are my matching pairs
Answer:
the modulus of a complex number z = a + bi is:
Izl= √(a²+b²)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nl = 3√10
√(a² + b²+ 2²+ 6²)= 3√10
√(a^2 + b^2 + 40) = 3√10
squaring both side
a²+b²+40 = 3^2*10 = 9*10 =90
a²+b²= 90 - 40
a²+b²=50
So,
|n|=√(a^2 + b^2) = √50
The modulus of n must be equal to the square root of 50.
now
values a and b such
a^2 + b^2 = 50.
for example, a = 5 and b = 5
5²+5²=25+25= 50
Then a possible value for n is:
n = 5+5i
Let n be x+yi
So
√(a²+b²+2²+6²)=3√10√a²+b²+40=3√10a²+b²+40=90a²+b²=50Minimum value is 5+5i as 5²+5²=50
Kayla and Mario are playing with a football at the park on a windy day. Mark throws the football straight up in the air, and a gust of wind blows it 10 feet west and 4 feet south from Mark. If [x y] represents the original location of the football, write a matrix that represents the location of the translated ball.
Answer:
|x-10 y-4|
Step-by-step explanation:
Let the initial position where the football is thrown up the air be x and y.
After the ball is thrown up the air it moves 10 feet west 4 feet south because of the gust of wind.
Therefore the change in x is by 10 feet west and is at the point x - 10 and the change in y is by 4 feet south and is at the point y - 4.
Thus the matrix representing the position of the football is |x-10 y-4|.
Please mark as brainliest if answer is right
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C R E D I T: mohit890
How much metal was used to make
this can of soup?
3 cm
5 cm
Point F is on the line CD. Find the measure of angle CFE
Answer:
∠ CFE and ∠ DFE are adjacent angles and are supplementary, sum to 180°
∠ CFE + 152° = 180° ( subtract 152° from both sides )
∠ CFE = 28°
Step-by-step explanation:
Adjacent angles share the common side as well as a common vertex (corner point), and they do not overlap. If we decompose the term "adjacent angles".
Adjacent angles:Its common side and vertex will be shared by the adjacent angles.If the total of two angles equals 180°, they are said to be supplementary angles.A linear pair is created when two additional angles are next to one another. 180° is equal to the sum of two adjacent supplementary angles.We have,
∠ EFD = 152°
∠ CFE and ∠ DFE are adjacent angles and are supplementary, summing to 180°
⇒ ∠CFE + ∠EFD = 180° (Linear pair)
⇒ ∠CFE +152° = 180°
⇒ ∠CFE= 180°-152°
⇒ ∠CFE= 28°
Find out more about the adjacent angles here:
brainly.com/question/12838185
Which two-dimensional shape could be created by a plane
slicing vertically through this hemisphere?
Answer:
circle
Step-by-step explanation:
A semicircle could be created by a plane slicing vertically through a hemisphere.
What is geometry?Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons),
The plane would cut through the middle of the hemisphere, creating a circle with half the diameter of the original hemisphere. This circle is the base of the semicircle and the curved surface of the hemisphere forms the arc of the semicircle.
Thus, a semicircle could be created by a plane slicing vertically through a hemisphere.
Learn more about the circles here:
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can someone please help its my 2 to last one
Answer:
x= -7 because when you add 60+45+82 you get 187. The interior angles of a triangle add up to 180
Step-by-step explanation:
Find the measure of
16. What is the volume of the rectangular prism?*
1 point
5 in.
s in
3.4 in.
Answer:
85
Step-by-step explanation:
i useed the formula LxWxH
i came up with 85
5x5x3.5
The amplitude of a periodic function is 8.5 and its minimum value is 0. What is the functions
maximum value?
Answer:
maximum value is 17.
Step-by-step explanation:
8.5=1/2(x-0)
8.5=1/2x
8.5=x/2
8.5×2=x
17=x
x=17
A cone has a diameter of 12 meters and height of 2 meters is the volume of the cone in terms of π?
Answer:
75.4 meters³
Step-by-step explanation:
A number of two digit is equal to 3 times the sum of it's digit. The number formed by reversing it's digit plus 9 equal 3 times the number Find the number
Answer:
The number is 27
Step-by-step explanation:
Attached is the solution step by step
find the volume of the prism
Answer:
volume = 108
Step-by-step explanation:
simple: volume = base x height
9 x 12 = 108
Answer 1452
Step-by-step explanation:
im not sure if im correct but the formua is V = L x W x H which is volume equal lenth multiplied by with multiplied by height. so 12 x 11 x 11
Question 5 Multiple Choice Worth 1 points)
(06.03)
What is the axis of symmetry for f(x) = -5x2 – 20x - 10?
Ox = 6
Ox= -6
Ox=2
Ox= -2
Answer:
a
Step-by-step explanation:
a landscaper is fencing a triangular garden for a customer. if the fence has the dimensions shown,does triangular garden have right angle?
Answer:
e
no, the numbers are not pythagoras triple
Step-by-step explanation:
find the complete question in the attached image
If the angle is a right angle would be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
20² + 10² =
400 + 100 = 500
500 is not equal to the square of 25
so it is not a right angled triangle
Need help I u get it right I’ll mark u as branniest
Answer:
primero debemos resolver la ecuacion sumamos 3d mas 10d luego pasamos el mumero 8 al otro lado entonces se convertira en negativo 8 el resulatdo de esta ecuacion sera 13d elevado al cubo =-8
13d^{3}=-8 entonces
entonces remplazamos en la formula cuadratica 3d=a 0=b -8=c y lo rremplazas en la formula cuadratica
Step-by-step explanation:
First we must solve the equation we add 3d plus 10d then we pass the number 8 to the other side then it will become negative 8 the result of this equation will be 13d cubed = -8
13d 3 = - 8 then
then we replace in the quadratic formula 3d = a 0 = b -8 = c and you replace it in the quadratic formula
8. Chloe received $20.00 for her birthday. She
bought 3 books for $3.59 each. How much
money does Chloe have left?
Answer: $9.23
because you multiply 3.59 by 3 to get $10.77 which was spent then you subtract $10.77 from $20.
which statement describes the effect on the parabola y= x^2 -1 when its is changed to y =x^2 +6?
The effect on the parabola y = x^2 - 1 when it is changed to y = x^2 + 6 is a translation of 7 units upwards.
What is the effect on the parabola?First let's do an introduction, for any function f(x), we can define a vertical translation of N units as:
g(x) =f(x) + N
Where if N > 0, the translation is upwards, and if N < 0, the translation is downwards.
In this case, we start with the parabola:
y = f(x) = x^2 - 1
Now we know that the transformed function is:
y = g(x) = x^2 + 6
Now, notice that if we apply a translation upwards of 7 units of the original function we will get:
y = f(x) = x^2 - 1 + 7 = x^2 + 6
We got the transformed function.
Then the effect on the parabola is a translation of 7 units upwards.
Learn more about translations by reading:
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tudents in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Which statements are true about a histogram with one-minute increments representing the data? Select three options.
A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
The histogram will have a shape that is left-skewed.
The histogram will show that the mean time is greater than the median time of 7.4 minutes.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
Answer:
A, D, E
Step-by-step explanation:
GOT IT RIGHT ON EDGE
The true statement about the histogram are
(a) the median and the mean are approximately equal(d) the histogram would have an approximately normal curve(e) there are more data elements between 6 and 9.How to interpret the histogram?The dataset is given as:
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Using a statistical calculator, we have the following summary:
Mean = 7.43
Median = 7.5
Notice that the median and the mean are approximately equal
i.e. 7.43 ≈ 7.5
When the mean and the median are equal, the histogram would have an approximately normal curve
Also, when the dataset is sorted, we have:
5.5, 5.5, 6, 6, 6.5, 7, 7, 7.5, 7.5, 8, 8, 8.5, 9, 9.5, 10
Notice that there are more data elements between 6 and 9.
Hence, the true statement about the histogram are (a), (d) and (e)
Read more about histograms at:
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Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Answer:
The slope is 1
Step-by-step explanation:
Take any two points from the graph and plug it into the equation y1-y/x1-x. I took the point (0,3) and (1,4). Plug these two points in to get 4-3/1-0. Simplify to get 1/1 which is equal to 1. Therefore, the slope is 1.
If this answer helps please mark as brainliest
Answer:
The slope is 1
Step-by-step explanation:
There are multiple ways to find the slope on a graph. You can either take two points from the line and do it the normal way (y1-y2/x1-x2), or you can look at the graph and see how much it "rises and runs" from one point to the next point. Since this is a pretty simple graph that is the method I used. Count how many units the line goes up and to the right from one point to the next, and remember the phrase "rise over run" for organizing the fraction. In this one, it rises one and runs one, so 1/1, and that's 1. I hope I could help.
find the perimeter of the triangle
Answer:
73.7
Step-by-step explanation:
14 +14 +23+22.7=73.7
I don’t understand what to do because this is worded very strangely. Could somebody help?
In a survey, 200 college students were asked whether they live on campus and if they own a car. Their responses are
summarized in the following table
Is there evidence that college students who don't own a car tend to not live on campus more than students who live on
campus?
A. Yes, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.
B. Yes, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.
C. No, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.
D. No, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.
Plz help! No link plz! I need to finish fast!
What 3/8 x 4 3/6 x 4?
➪6.75
__________~ ʜᴀᴘᴘʏ ʟᴇᴀʀɴɪɴɢ ~
what is the y-intercept of this parabola?
Answer:
(0,5)
Step-by-step explanation:
Answer:
(0,5)
The place where the line crosses the y-intercept.
Ewok's favorite candy is a gummy
worm. One gummy worm is 13
inches long: How many gummy
worms will it take to lay them end to
end to have a total length of 45
inches
Answer:
3.5
Step-by-step explanation:
45 inches divided by 13 inches
gets you 3.4615 but i think you should round up so 3 and a half
can someone help me with all these!im giving brainliest:)
Step-by-step explanation:
1a.2.b.1/2 base×heightc.2 ×1/2 base×heightbase×heightb.
1m=100cm1m²=100cm×100cm1m²=10000cm²0.25m²=0.25×10000cm²0.25m²=2500cm²C.
.3.area of rectangle button+area of back+area of top d.total surface area =base×height+area of rectangle button+area of back+area of topASAP -Which is the best estimate of 2 Pi^2
Answer:
C budddyyyyyy
Gieco saves you 15% on car insurance
lol sorry i just had to
Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2
Answer:
Hello! answer: 2
Step-by-step explanation:
The mode is just the number shown the most in the set of numbers so 2 is the mode because 2 is shown the most Hope that helps!
3(3u-2)=2(3u+3)
What is the steps
The formula can be used to work outthe cost, in riyals, of hiring a helmet inQatar for a number of days.Kasun wants to hire a bicycle and a helmetfor the same number of days .
Answer:
The answer is below
Step-by-step explanation:
a) Cost of hiring the bicycle for 14 days is:
Cost = 65 * 14 days + 44 = 954 riyals
b) The number of days the bicycle is hired is to be the same as the number of days the bicycle is to be hired. Let us assume that the bicycle and helmet is to be hired for x days, hence:
Cost of bicycle = 65 * x + 14 = 65x + 44
Cost of helmet = 12.5 * x = 12.5x
Total cost = 65x + 44 + 12.5x = 77.5x + 44
Since 750 riyals is available, hence:
750 = 77.5x + 44
77.5x = 706
x = 9.11
Therefore the maximum number of days is 11. The total cost for 11 days is:
Total cost = 77.5(9) + 44 = 741.5 riyals
Money not spent = 750 riyals - 741.5 riyals = 8.5 riyals