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Svetradugi [14.3K]
3 years ago
15

Multiply and simplify. (5 - 3i)(6 + 2i)

Mathematics
2 answers:
AleksandrR [38]3 years ago
3 0
36-8i is the answer.
rosijanka [135]3 years ago
3 0
This is simple distribution where you multiply the numbers without the variables and then multiply the variabes together, your answer would then===30-6i
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Which of the following is an example of a proper fraction? A. 11⁄10 B. 15⁄2 C. 4⁄17 D. 6⁄6
Vera_Pavlovna [14]
The correct answer is c 4/17
8 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (0, -7) and (-8, 3)?
avanturin [10]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{5}{4} x-7  

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}

So, the slope is -\frac{5}{4}.

2) Now, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. Substitute real values for the m, x_1, and y_1 in the formula.

Since m represents the slope, substitute -\frac{5}{4} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7

7 0
2 years ago
10 in<br> 8 in<br> 3 in<br> 12 in<br> Volume =
professor190 [17]

Answer:

Your data is not accurate...

4 0
3 years ago
I need help it’s hard
Reika [66]

9514 1404 393

Answer:

  f^-1(x) = (x +4)/3

Step-by-step explanation:

The inverse function is found by swapping x and y, then solving for y.

  y = 3x -4 . . . . . function y = f(x)

  x = 3y -4 . . . . . inverse relation

  x +4 = 3y . . . . add 4

  (x +4)/3 = y . . . divide by 3. This is the inverse function

  f^-1(x) = (x +4)/3

6 0
3 years ago
What is the transformation of g(x)=3(2)-xfrom the parent function f(x)=2x?
lisov135 [29]
Shift of 6 units right, reflects over x-axis
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