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3 years ago

When you multiply (3+6i)(3+7i) you get an answer of the form a+bi. Find a.

Mathematics

1 answer:

stiks02 [169]3 years ago

5 0

(3 + 6i)(3 + 7i)

FOIL: First, Outside, Inside, and Last

3 x 3 = 9

3 x 7i = 21i

6i x 3 = 18i

6i x 71= 42i

9 + 21I + 18I + 42I = 9 + 81I

a = 9

B = 81I

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4 years ago

Solve |3k-2|=2|k+12|

Stella [2.4K]

Answer:

$k = 26$ or $k = -\dfrac{22}{5}$

Step-by-step explanation:

|3k - 2| = 2|k + 12|

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3 years ago

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3 years ago

The graph of the function f(x)=|3x| is translated 4 units up.

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3 years ago

Read 2 more answers

There are 3 3/4 pounds of bricks in a bag. Each brick weighs 5/8 of a pound. How many bricks are in the bag.

Bess [88]

Answer: There are 6 bricks in the bag.

Step-by-step explanation:

Convert from mixed number to decimal number. To do it, divide the numerator of the fraction by the denominator and add the result to the whole number part. Then:

$3\frac{3}{4}\ lb=(3+0.75)\ lb=3.75\ lb$

Convert from fraction to decimal number. To do it you need to divide the numerator by the denominator. Then, you get:

$\frac{5}{8}lb=0.625\ lb$

Let be "x" the number of bricks in the bag<em>.</em>

<em> </em>Based on the information given in the exercise, you can set up the following proportion:

$\frac{1}{0.625}=\frac{x}{3.75}$

Finally, you must solve for "x" in order to find its value. This is:

$(3.75)(\frac{1}{0.625})=x\\\\x=6$

8 0

3 years ago