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3 years ago

Describe some real-world situations that remind you of the coordinate plane.

Mathematics

1 answer:

Sloan [31]3 years ago

4 0

Answer:

-The latitude and longitude lines on maps of the Earth

-Planning where to place different pieces of furniture in a room

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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

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh

DaniilM [7]

Answer:

b) 2.00

Step-by-step explanation:

For each name, there are only two possible outcomes. Either it is authentic, or it is not. The probability of a name being authentic is independent of any other name. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

She randomly selects five names from the list for validation.

This means that $n = 5$

40% of the names on the list are non-authentic

This means that $p = 0.4$

The expected (average) value of x is

$E(X) = np = 5*0.4 = 2$

The correct answer is given by option B.

8 0

3 years ago

What is the value of y for the parallelogram shown?

dybincka [34]

Opposite angles in a parallelogram have to be equal so

3y=66
y=22

3 0

3 years ago

Read 2 more answers

Substitution system of equations <br><br> How do I solve this?

Fantom [35]

Answer:

x=-6

Y=4

Step-by-step explanation:

7 0

3 years ago

The results of a survey show that 40% of 300 students choose recycling as the

Alika [10]

Answer: 120

You can do p/100 = is/of
40/100 = is/300
then multiply diagonally which is 40 and 300
divide by 100

or the easier way is you can multiply .4 and 300

6 0

3 years ago