Select the correct answer.
Which algebraic expression is equivalent to the expression below?

Answer:

[tex]b = 3[/tex]

Step-by-step explanation:

We are given that:

[tex](2 + bi)(3+2i) = 13i[/tex]

And we want to determine the value of b.

First, expand:

[tex]\displaystyle \begin{aligned} (2+bi)(3+2i)&=2(3+2i)+bi(3+2i) \\ &= (6+4i)+(3bi+2bi^2) \\ &= (6+2b(-1))+(4i+3bi) \\ &= (6-2b) + (4+3b)i\end{aligned}[/tex]

Therefore, we can write that:

[tex](6-2b) + (4+3b)i = 0+ 13i[/tex]

If two complex numbers are equivalent, their real and imaginary parts must be equivalent. Hence:

[tex]6-2b = 0 \text{ and } 4+3b = 13[/tex]

Solve for each case:

[tex]b=3 \text{ and } b=3[/tex]

The two solutions are equivalent, hence such a number b exists.

In conclusion, b = 3.

Answer:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

Answer:

15

Step-by-step explanation:

Answer:

M=(2,-2)

Step-by-step explanation:

M=(2+2/2,-5+1/2)

M=(4/2,-4/2)

M=(2,-2)

Answer:

-3

Step-by-step explanation:

1. 6n+4n=-30

10n=-30

little confused on q2,3

Answer:

770

Step-by-step explanation:

12 month ×60 per month

Plus 50 set up fee

=770

Answer:

C

Step-by-step explanation:

It looks impossible to tell if you don't know one simple fact. You have to know that the Plane that contains WTSR and V is opaque which means you can't see through it. So the line that goes through it (containing WQ) is partially not seen.

It is represented by a dashed line that shows the line is there, but it is invisible.

So Q is on the plane, but W is not. W is the answer.

Answer:

Assuming this is the full problem.

3x^2-8x+4

Step-by-step explanation:

Answer:

[tex]3\frac{2}{3} - ( - 1 \frac{1}{12} ) \\ \\ \frac{11}{3} - ( - 1 \frac{1}{12}) \\ \\ \frac{11}{3} - ( - \frac{13}{12} ) \\ \\ \ \frac{11}{3} + \frac{13}{12} \\ \\ \frac{44}{12} + \frac{13}{12} \\ \\ \frac{44 + 13}{12} \\ \\ \frac{55}{12} \\ \\ \frac{19}{4} \\ \\ = 4 \frac{34}{?} [/tex]

4/3/4

Answer:

4 3/4

Step-by-step explanation:

3 2/3 - (-1 1/12) = 19/4 = 4 3/4

stick with 60

start trying 1 to 10

then

10, 20, 30, 40, 50, 60

1 , 2 , 4 , 5 , 10, 20, 40, 50

Answer:

C Neither.

Step-by-step explanation:

Its not linear because it is a curve.

Its not a function because it fails the vertical line test:

- we can draw a vertical line which passes through 2 points on the graph.

Answer:

x = 2

Step-by-step explanation:

3/2x - 2.2 = 2(0.7x - 1)

3/2x - 2.2 = 1.4x - 2

0.1x - 2.2 = -2

0.1x = 0.2

x = 2

Answer: add 16 and 50

Step-by-step explanation: it’s asking for the entire length

Answer:

[tex]e) \sqrt{144.9} = \sqrt{12.3} \\ f) \sqrt[3]{ \sqrt{64} } \\ \sqrt{64} = 8 \\ then \: \sqrt[3]{8} = 2 \\ thank \: you[/tex]

Answer:

126/100

Step-by-step explanation:

126% / 100

= 1.26

Answer:

1.26

Step-by-step explanation:

divide 126 by 100 first

[tex]\frac{126}{100}[/tex]

you will get

1.26

Answer:

(8.3, 3.15 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (4.6, 2.3) and (x₂, y₂ ) = (12, 4) , then

midpoint = ( [tex]\frac{4.6+12}{2}[/tex] , [tex]\frac{2.3+4}{2}[/tex] ) = ( [tex]\frac{16.6}{2}[/tex] , [tex]\frac{6.3}{2}[/tex] ) = ( 8.3, 3.15 )

Answer:

[tex]mid \: point \: for \: x = \frac{x1 + x2}{2} \\ = \frac{4.6 + 12}{2} \\ x = \frac{16.6}{2} \\ x = 8.3 \\ mid \: point \: of \: y = \frac{y1 + y2}{2} \\ y = \frac{2.3 + 4}{2} \\ \frac{6.3}{2} = 3.15 \\ then(x \: y) = (8.3 \: 3.15) \\ thank \: you[/tex]

I suppose you're talking about the number 17.828282…. If x is this number, then 100x = 1782.828282…, and so

100x - x = 1782.828282… - 17.828282…

99x = 1765

x = 1765/99

Answer:

= 3m2 + 2m - 4m

= 3m2 - 2m

Step-by-step explanation:

you can only subtract similar products

Answer:  12 units

Replace "units" with "feet", "meters", etc. if your teacher instructs it.

==============================================================

Explanation:

M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.

So,

LM = MN

3x = 2x+2

3x-2x = 2

x = 2

Use this x value to then say

Segments LM and MN are 6 units each.

From that, we know,

LN = LM+MN = 6+6 = 12

The distance from your house to your friends house is 12 units.

Answer:

y > - 10x - 1

Step-by-step explanation:

Given

10x + y > - 1 ( subtract 10x from both sides )

y > - 10x - 1 ← in slope- intercept form

Answer:

y > -10x - 1.

Step-by-step explanation:

10x + y > - 1

Subtract 10x from both sides:

y > -10x - 1.

Answer:

B. -9/11

Step-by-step explanation:

(f/g)(-4) = f(-4) / g(-4)

To find f(-4), we plug in -4 everywhere there is an x

f(-4) = 2(-4) - 1 = -8 - 1 = -9

Same idea for g(-4):

4(-4)^2 + 14(-4) + 3

4*16 - 56 + 3 = 11

So (f/g)(-4) = f(-4) / g(-4) =

-9/11

Answer:

45/8

Step-by-step explanation:

steps are in picture

Answer:

[tex]\frac{45}{8}[/tex]

Step-by-step explanation:

[tex]\frac{3\frac{3}{8}}{\frac{3}{5}} \\\frac{\frac{27}{8}}{\frac{3}{5}} \\\\\frac{27}{8}\times \frac{5}{3}\\\\\frac{45}{8}[/tex]

The expression which represents the number of miles Mary rode in 5 days is 5*(2 + 2).

A fraction represented with its quotient and remainder is a mixed fraction.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

According to the given question.

Distance between Mary's house and school = [tex]1\frac{3}{4} =\frac{7}{4}[/tex]

Number of days Mary rode her bicycle to school and back = 5

⇒ Distance travelled by Mary in one day = [tex]2(\frac{7}{4} )=\frac{7}{2}[/tex]

Therefore, the expression which represents the number of miles she rode in 5 days = [tex]5(\frac{7}{2} )=\frac{35}{2}=17.5 miles[/tex] ≈ 20 miles

Hence, the expression which represents the number of miles Mary rode in 5 days is [tex]5[/tex] *(2+2).

Find out more information about expression and mixed fraction here:

https://brainly.com/question/17724027

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Answer:

14

step by step explanation

-7×(-2)

14

Answer:

6

Step-by-step explanation:

6 x 6= 36

Answer: 6m+4n=32

Step-by-step explanation:

m=4

n=2

From this, we can deduce that m+n=32.

6*4=24 and 4*2=8. 24+8=32

So, 6m+4n=32. Hope this was what you were looking for!