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3 years ago

Multiply 3i(−1 + 2i). What is the simplified version written in standard form, a + bi, where a and b are real numbers?

1 answer:

4 0

3i (- 1 + 2i) Remove the brackets.
3i (-1) + (2i)(3i) Look at the first set of brackets around the -1
-3i + 6i^2 But i^2 = - 1[ I hope that's the way you are using it]
-3i - 6 or -6 - 3i or -3(2 - i) <<<<< answer

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Ana escribe conjuntos de cinco enteros positivos consecutivos con la siguiente propiedad: La suma de tres de los números es tan

Keith_Richards [23]

Answer:

a) 1.

Step-by-step explanation:

Supongamos que el primer número entero positivo es a tal que a ∈ Z⁺.

Luego, el conjunto de los cinco enteros positivos se puede expresar como

A = {a; a+1; a+2; a+3; a+4}

Dada la condición del problema, se debe cumplir que

a + (a+1) + (a+2) = (a+3) + (a+4)

⇒ 3a + 3 = 2a + 7

Resolviendo la ecuación resulta

a = 4

Luego, el conjunto A nos resulta

A = {4; 5; 6; 7; 8}

Puede concluirse que sólo un conjunto cumple con esta condición.

5 0

2 years ago

Please help! Very confused,

Alex777 [14]

The answer is probably c

8 0

3 years ago

Read 2 more answers

Plzzz help with all of the questions and plzZZZzZz show work I really need help I’m not understanding help with all the question

statuscvo [17]

Answer:

slope of EF= $\frac{5}{3}$

∠QSR=45°,

∠PTQ=90°

if RT=24

then SQ=48

square is always a rectangle

∠SUT=21°

Step-by-step explanation:

two line are perpendicular to each other if product of their slope equal to -1

$m_{1}\times m_{2}$ =-1

slope of HE= $m_1$ =- $\frac{3}{5}$

slope of EF= $m_2$

slope of EF=-1 $\frac{-5}{3}$ = $\frac{5}{3}$

slope of EF= $\frac{5}{3}$ answer

∠QSR=45°,

∠PTQ=90°

if RT=24

then SQ=48

square is always a rectangle

given ∠SUT=3x+6

∠RUS=5x-4

∠SUT=∠RUS

3x+6=5x-4

x=5

∠SUT=3x+6=15+6=21°

∠SUT=21°

5 0

2 years ago

Find the MAD for this set of data.

Nostrana [21]

Answer:

Hence MAD=0.8

Step-by-step explanation:

MAD is also known as Mean Absolute Deviation.

We find MAD by the following steps:

Firstly we find the mean of the data
Then we subtract each entry from the mean to obtain the deviation
Then find the absolute value of the deviation which is also known as absolute deviation.
Finally we find the mean of the absolute deviation.

Now we are given a table of the absolute deviation we just need to calculate the mean of the absolute deviation.

The absolute deviation is given as:

1 3 1 0 0 1 0 0 1 1

The mean of this is calculated as:

$\dfrac{1+3+1+0+0+1+0+0+1+1}{10}=\dfrac{8}{10}=0.8$