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3241004551 [841]
3 years ago
9

Simplify (–2 + 10i)(–2 – 10i)

Mathematics
2 answers:
lilavasa [31]3 years ago
8 0
(−2+10i)(−2−10i) =104
Mice21 [21]3 years ago
8 0

Answer:

104

Step-by-step explanation:

(-2 + 10i) (-2 – 10i)

Distribute using FOIL (first, outer, inner, last).

(-2)(-2) + (-2)(-10i) + (10i)(-2) + (10i)(-10i)

4 + 20i – 20i – 100i²

4 – 100i²

4 + 100

104

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One student simplified x5 + x5 to x10 . A second student simplified x5 + x5 to 2x5 . Which student is correct? Explain.
dybincka [34]

An expression is defined as a set of numbers, variables, and mathematical operations. The second student is correct.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given One student simplified x⁵ + x⁵ to x¹⁰. The second student simplified x⁵+x⁵ to 2x⁵. Since the simplification of (x⁵+x⁵) is equal to 2x⁵. Therefore, the second student is correct.

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1 year ago
Solar Impulse 2 is covered in 269.5 square meters of solar cells. Each cell is 150 square centimeters. How many solar cells are
Alik [6]
Area covered by the solar cells = 269.5 m^2

Area of one cell = 150 cm^2

Convert the area of one cell to m^2 by using the conversion factor 1m^2 = (100cm)^2 => 1 = 1m^2 / 1000 cm^2

=> 150 cm^2 * [1m^2 / 1000 cm^2] = 0.150 m^2

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3 years ago
Rachel saved money to buy art supplies. She used 13 of her savings to buy brushes. She used 35 of her savings to buy paint. What
vekshin1

Given:

Rachel used \dfrac{1}{3} of her savings to buy brushes.

She used \dfrac{3}{5} of her savings to buy paint.

To find:

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Solution:

Fraction that Rachel used of her savings to buy brushes and paint is

\text{Fraction for used amount}=\dfrac{1}{3}+\dfrac{3}{5}

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Now,

\text{Fraction for remaining savings}=1-\text{Fraction for used amount}

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\text{Fraction for remaining savings}=\dfrac{1}{15}

Therefore, \dfrac{1}{15} of her savings is remaining.

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2 years ago
What is 3 1/4 +( 3 1/4 +5 1/5)?
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Answer:16.5

Step-by-step explanation:

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