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Alexxx [7]
2 years ago
9

What line shows the first error in the solution?

Mathematics
1 answer:
tia_tia [17]2 years ago
7 0
Line 1 because the question says “less than 4”
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The product of (3 − 4i) and____is 25.
LiRa [457]

(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}

9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}

6 0
3 years ago
What is 5-6x=2+7x step by step?
HACTEHA [7]
The first thing you do is subtract 2 from both sides to move the 2 to the left side
3-6x=7x
now add 6x to both sides to move -6x to the right
3=13x
divide by 13 to eliminate the 13 on the right side
3/13
4 0
3 years ago
Read 2 more answers
How many minutes are in m hours?
notka56 [123]

Answer:

the 2nd one (60m minutes)

Step-by-step explanation:

60 minutes in an hour, so if m is the number of hours you would times that by the number of minutes in an hour which is sixty. 60m is 60 times m

8 0
3 years ago
Pam has 15 candies in her bag. Her mother puts another handful of candies into the bag. Pam counts all the candies and she now h
julsineya [31]

Answer: 15+X=27

Step-by-step explanation: 15+X=27 X Represents How Much More Is Added

8 0
2 years ago
What is the first quartile of the data displayed in this box-and-whisker plot?
77julia77 [94]

Answer:

99.5

Step-by-step explanation:

First quartile is the second largest value in these five

8 0
3 years ago
Read 2 more answers
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