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const2013 [10]
3 years ago
7

What is the standard form of (2-4i)(3+5i)/(3+i)?

Mathematics
2 answers:
Eva8 [605]3 years ago
8 0

Answer:

AKA Letter Choice E on Plato!!

german3 years ago
5 0
\dfrac{(2-4i)(3+5i)}{3+i}=\\
\dfrac{6+10i-12i+20}{3+i}=\\
\dfrac{26-2i}{3+i}=\\
\dfrac{(26-2i)(3-i)}{9+1}=\\
\dfrac{78-26i-6i-2}{10}=\\
\dfrac{76-32i}{10}=\\
\dfrac{38}{5}-\dfrac{16}{5}i
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55% of what number is 70? Round to the nearest tenth.
umka2103 [35]
55% of x is 70
0.55 times x=70
divide both sides by 0.55
127.27272727
round
127.3
5 0
3 years ago
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A student wants to report on the number of books her friends read each week. The collected data are below: 0 24 1 4 5 2 5 4 Whic
barxatty [35]

Median: middle number

Mean: average

How to calculate the median:

1) line the numbers in order from least to greatest

0 1 2 4 5 24

(you do not need to write all the fours or fives, one four or five is enough to represent it)

2) Next, take one number off each end at a time until you have one number in the middle left (if there are two numbers left in the middle, add them together, than divide them by two)

3) The median is 4 becuase it is in the middle.

How to calculate the mean:

1) Add all the numbers together

0+24+1+4+5+2+5+4 = 45

2) Now we divide 45 by 8 because there are eight numbers in the list

45/8 = 5

3) The mean is 5.

Answer: Median = 4, Mean = 5

live with love, live with Jesus

4 0
3 years ago
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Find the equation of line b described below, in slope-intercept form
Serjik [45]

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

m=\dfrac{y_2-y_1}{x_2-x_1}

m_a=\dfrac{-12-(-8)}{9-1}

m_a=\dfrac{-12+8}{8}

m_a=\dfrac{-4}{8}

m_a=-\dfrac{1}{2}

Product of slopes of two perpendicular lines is -1.

m_a\times a_b=-1

-\dfrac{1}{2}\times a_b=-1

b=2

Slope of line b is 2.

If a line passing through a point (x_1,y_1) with slope m, then equation of line is

y-y_1=m(x-x_1)

Line b passing through (-8,-16) with slope 2. So, equation of line b is

y-(-16)=2(x-(-8))

y+16=2(x+8)

y+16=2x+16

Subtract 16  from both sides.

y=2x

Therefore, the equation of line b is y=2x.

7 0
3 years ago
Middle school students were asked how they got to school each morning. There were 375 students who said they rode the bus. This
const2013 [10]

Answer:

625 students

Step-by-step explanation:

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3 years ago
What is the slope of a line PARALLEL to the graph?<br><br> A) -3<br> B) 0<br> C) 3<br> D) -1/3
Neporo4naja [7]
You should choose c because parallel lines have the same slope
7 0
3 years ago
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