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3 years ago

10

Write this expression as a complex number in standard form

2 answers:

amm18123 years ago

8 0

Answer:

$81+144i$

Step-by-step explanation:

$(-3\sqrt{-81})( -5+\sqrt{-9})+ 9i\\\text{Simplify the radicals}\\\sqrt{-81}=\sqrt{-1*81}=\sqrt{81}\cdot\sqrt{-1}=9i\\\sqrt{-9}=\sqrt{-1*9}=\sqrt9\cdot\sqrt{-1}=3i\\=(-3(9i))(-5+3i)+9i\\(-27i)(-5+3i)+9i\\\text{Distribute}\\=135i-81i^2+9i\\i^2=-1\\=135i+9i-81(-1)\\=81+144i$

Radda [10]3 years ago

3 0

The answer is 81+144i

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What is the lcm of 6 and 8

Dafna1 [17]

Answer:

Explanation:

Method 1

First, list the multiples of both numbers:

$undefined$

To find the lowest common multiple (LCM) of 6 and 8, first express the numbers as a product of its prime factors.

$\begin{gathered} 6=2\times3 \\ 8=2\times2\times2=2^3 \end{gathered}$

Next, pick the highest powers for each of the numbers:

$\begin{gathered} \text{LCM}=2^3\times3 \\ =8\times3 \\ =24 \end{gathered}$

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1 year ago

Combine like terms.<br> 8y – 4z + 3y + 5z = 11y + [? ]z

RoseWind [281]

Answer:

= 11y + 1z

Step-by-step explanation:

8 0

3 years ago

If the area of a rectangle is 100, then the length is 25 and the width is 4. The counterexample is length = ____ width =______

zubka84 [21]

Answer:

length =25 and width =4

Step-by-step explanation:

7 0

3 years ago

Gemma and Leah are both jewelry makers. Gemma made 106 beaded necklaces. Leah made 39 more necklaces than Gemma.

timofeeve [1]

Answer:

Gemma made $34 more than Leah.

Step-by-step explanation:

Gemma made number of beaded necklaces = 106

Leah made 39 more necklaces than Gemma.

Leah made number of beaded necklaces = 106 + 39 = 145

a. There are 104 beads on each necklace.

The total number of beads used altogether

= (106 × 104) + (145 × 104)

= 11,024 + 15,080

= 26,104

b. Gemma sold her 106 necklaces for = $14

Total price of her necklaces = 106 × 14

= $1,484

Leah sold her 145 necklaces for = $10

Total price of her necklaces = 145 × 10

= $1,450

Difference in Gemma and Leah's amount = 1484 - 1450 = $34.00

Therefore, Gemma made $34.00 more money than Leah.

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3 years ago

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kykrilka [37]

using Pythagorean triplet

$\\ \sf\longmapsto P^2=H^2-B^2$

$\\ \sf\longmapsto x^2=19.6^2-15.4^2$

$\\ \sf\longmapsto x^2=384.16-237.16$

$\\ \sf\longmapsto x^2=147$

$\\ \sf\longmapsto x=\sqrt{147}$

$\\ \sf\longmapsto x=12.1$

4 0

3 years ago