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3 years ago

What is the value of the product (4 - 21)(6 + 2/)? 20 - 41 20 + 161 28 + 161 28 - 41

Mathematics

1 answer:

xeze [42]3 years ago

3 0

Answer:

28 -4i

Step-by-step explanation:

Perhaps you want the product ...

(4 -2i)(6 +2i)

Multiplying in the usual way, we get ...

(4)(6) +(4)(+2i) +(-2i)(6) +(-2i)(2i)

= 24 +8i -12i -4i^2

Recognizing that i^2 = -1, we can collect terms to get ...

= 24 +i(8 -12) -4(-1)

= 28 -4i

_____

Please note that i = √(-1) is not the same as 1 or /. You may need to edit your question to ensure the correct symbol is used.

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Complete the table by squaring each positive x-value listed 2, 3,4,5,6,7,8,9,10,11

elena55 [62]

2²=4 2×2

3²=9 3×3

4²=16 4×4

5²=25 5×5

6²=36 6×6

7²=49 7×7

8²=64 8×8

9²=81 9×9

10²=100 10×10

11²=121 11×11

4 0

3 years ago

Where will her cut be located? Round to the nearest tenth. x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 A

Arte-miy333 [17]

Answer:

The correct answer is 25.2 in.

Step-by-step explanation:

It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.

2 inches of the ribbon are frayed so actual length = 58 inches

Please refer to the attached image for the ribbon.

A is at 0

C is at 60

B is at 2

P is the point to divide the remaining ribbon in the ratio 2:3.

Part AB of the ribbon is frayed.

BP: PC = 2:3

Let BP = 2 $x$ and PC = 3 $x$

Now, BP + PC = BC = 58 = 2 $x$ + 3 $x$ = 5 $x$

So,

$5x =58\\\Rightarrow x =11.6$

BP = $2\times x = 2 \times 11.6 = 23.2\ inches$

Location of the Cut = 2 + 23.2 = <em>25.2 inches</em>

Alternatively, we can use the formula directly:

$x = \dfrac{m} {m + n } (x_2 - x_1) + x_1$

$x_1 = 2\\x_2 = 60$

m: n is the ratio 2:3

$x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}$

5 0

3 years ago

Read 2 more answers

Manny runs 15 3/4 miles each week. Zander runs 5/6 as many miles each week as Manny.

Liula [17]

Answer:

Zander ran 13 1/8 miles

Step-by-step explanation:

Manny = M

Zander = Z

Z=M(5/6)

Z=15 3/4(5/6)

Z=13 1/8

8 0

3 years ago

Simplify the variable expression by evaluating its numerical part, and enter

Ksju [112]

Answer:7w

Step-by-step explanation:

the process is simple 13 minus 6 equals 7 which only leaves w therefore the answers 7w

8 0

3 years ago

Read 2 more answers

I need to know the answer I’m working on rational numubers

lesya [120]

Answer:

Fraction Form: $\frac{11}{24}$

Decimal Form: 0.4583

Step-by-step explanation:

Apply the fraction rule: $\frac{-a}{b} = - \frac{a}{b}$

$\frac{-5}{12} = - \frac{5}{12}$

$- \frac{5}{12} + \frac{7}{8}$

Least Common Multiple (LCM) of 12 and 8: 24

$- \frac{5}{12} x \frac{2}{2} = - \frac{10}{24} \\\\\frac{7}{8} x \frac{3}{3} = \frac{21}{24} \\\\- \frac{10}{24} + \frac{21}{24}$

Apply the fraction rule:

$\frac{a}{c} + \frac{b}{c}= \frac{a + b}{c}\\\\\frac{-10 + 21}{24} \\\\-10 + 21 = 11\\\\\frac{11}{24}$

3 0

2 years ago