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cestrela7 [59]
3 years ago
13

Multiply the complex numbers (5 − 3i) and (9 + 2i).

Mathematics
1 answer:
amid [387]3 years ago
7 0
The answer is

51-17i

Explanation :

5x95x2i-3ix9-3ix2i
45+10i-27i-6^2
45+10i-27i-6(-1)
45+10i-27i + 6
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Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in s
vagabundo [1.1K]

Answer:

y = -0.2x - 5.8

Step-by-step explanation:

If a line is given in the form y = mx + b, the "m" is the slope.

For the line given y = 5x, the slope is 5

The line that is perpendicular to this will have slope that is "negative reciprocal of that".

So, the perpendicular line will have slope of  -\frac{1}{5}

So, the Perpendicular Line will have equation:

y = -1/5x + b

Let's find b by replacing x with 6 and y with -7 [the point given]. So we have:

y=-\frac{1}{5}x+b\\-7=-\frac{1}{5}(6)+b\\-7=-\frac{6}{5}+b\\b=-7+\frac{6}{5}\\b=-5.8

So the equation of perpendicular line = y = -0.2x - 5.8

4 0
3 years ago
Solve each equation. Show your work<br><br> 13a=-5<br> 12−b=12.5<br> -0.1=-10c
amid [387]
1) 13a=-5
Make a the subject of the formula by dividing both sides by 13(the coefficient of a)
13a/13=-5/13
Therefore a= -0.385

The second one). 12-b= 12.5
You take the 12 to the other side making b subject of the formula (-b in this case)
-b= 12.5-12
-b= 0.5
(You cannot leave b with a negative sign so you will divide both sides by -1 to cancel out the negative sign)

-b/-1= 0.5/-1
Therefore b=-0.5

The third one). -0.1= -10c
You will divide both sides by the coefficient of c(number next to c) which is -10
-0.1/-10= -10c/-10

Hence, c= 0.01
5 0
3 years ago
What is the first step in solving the equation by factoring?
Art [367]

The answer is D. This is because all of the variables must be on one side so it can be factored.


8 0
3 years ago
A food manufacturer uses an extruder (a machine that makes bite size cookies)that yields revenue for the firm at a rate of $200
julsineya [31]

Answer:

$1300

Step-by-step explanation:

The extruder yields a revenue of $200per hour

Y denotes the number of breakdown per day.

The daily revenue generated is given as

R = 1600 - 50Y^2

We have an average of 2 breakdown per day

Lamda = 2

Represent lamda as β

E(Y) = β

E(Y(Y-1)) = β^2

E(Y^2) = E[Y(Y-1)] + E(Y)

= β^2 + β

E(R) = E(1600 - 50Y^2)

= 1600 - 50E(Y^2)

= 1600 - 50(β^2 +β)

Recall that β = lamda = 2

= 1600 - 50(2^2 + 2)

= 1600 - 50(4+2)

= 1600 - 50(6)

= 1600 - 300

= 1300

$1300

The expected daily revenue of the extruder is $1300

3 0
3 years ago
What does the mode represent in a set of numbers?
BartSMP [9]

Answer:

The number which appears most often in a set of numbers.

4 0
3 years ago
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