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fredd [130]
3 years ago
12

Can someone help me pls

Mathematics
1 answer:
Hunter-Best [27]3 years ago
4 0

Answer:

New York is a nice place

Step-by-step explanation:

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Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest.
slava [35]

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

7 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used,Consider the functions given below.P(x) =
bearhunter [10]

Solution

we are given

\begin{gathered} P(x)=\frac{2}{3x-1} \\ Q(x)=\frac{6}{-3x+2} \end{gathered}

(a). P(x) / Q(x)

\begin{gathered} P(x)\div Q(x)=\frac{2}{3x-1}\div\frac{6}{-3x+2} \\ P(x)\div Q(x)=\frac{2}{3x-1}\times\frac{-3x+2}{6} \\ P(x)\div Q(x)=\frac{-3x+2}{3(3x-1)} \end{gathered}

(b). P(x) x Q(x)

\begin{gathered} P(x)\cdot Q(x)=\frac{2}{3x-1}\times\frac{6}{-3x+2} \\ P(x)\cdot Q(x)=\frac{12}{(3x-1)(-3x+2)} \end{gathered}

3 0
1 year ago
A cell phone plan charges a $30 activation fee plus $19.50 a month. If Ellie has a maximum of $200 to spend, how many months of
Ilya [14]
She can afford a total of 8 full months
6 0
3 years ago
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It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington, if
IgorC [24]

42 \frac{1}{2}  + 37 \frac{4}{5}

42 \frac{5}{10}  + 37 \frac{8}{10}

\frac{5}{10}  +  \frac{8}{10}  =  \frac{13}{10}  =  1 \frac{3}{10}

79 + 1 \frac{3}{10}  = 80 \frac{3}{10}

80 \frac{3}{10} \:  \:miles \: or \: 80.3 \: miles

//

Just double check that I did the right calculations

8 0
3 years ago
What is the unit rate for meters per second if a car travels 450 meters in 25 ​seconds?
Fantom [35]
M/s =meters per second
7 0
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