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ArbitrLikvidat [17]
3 years ago
13

Simplify the expression!

Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0

\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] ~\dotfill\\\\ (9+2i)(9-2i)\implies [9^2~-~(2i)^2]\implies [81-(2^2i^2)]\implies [81-\stackrel{i^2 = -1}{(4\cdot -1)}] \\\\\\ 81-(-4)\implies 81+4\implies 85

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liraira [26]

Answer:

A = 7 and C = 2

Step-by-step explanation:

the constant C represents the average value of the wave. To find its value, we need to calculate the average between the y-coordinates of the highest and the lowest point.

The highest point has y = 9, and the lowest point has y = -5, so we have:

C = (9 - 5)/2 = 4/2 = 2

The value of A represents the increase in the amplitude of the wave.

For A = 1, the amplitude is 2 (lowest point = average - 1, highest point = average + 1)

So, in this case, the amplitude is the difference in the y-coordinates of the highest and the lowest point, and A is equal half the amplitude:

A = (9 - (-5)) / 2 = (9 + 5)/2 = 14/2 = 7

3 0
3 years ago
Can I please get some help on 2 and 4
lakkis [162]

Answer:

2. Equivalent

4. Denominator

Step-by-step explanation:

2. To subtract unlike fractions, rewrite them as <u><em>Equivalent</em></u> fractions with the same denominator. This is true because when we want to add or subtract fractions with different denominators, we can multiply them until they have the same denominator, which allows us to easily subtract.

4. Fractions with equal numerators and <em><u>Denominators</u></em> are equivalent to 1. This is also true, since 4/4 is a whole number, and that is the case with any fraction that has the same numerator and denominator

Hope this helps! :D

3 0
3 years ago
The Ratio of men to women in a certain factory is 3 to 4. There are 198 men. How many workers are there?
klemol [59]

So 3:4::198:?. 3 is to 198 as 4 is to ?. You're solving for ? so you want that on the top of the fraction. 4/3=?/198. Multiply both sides by 198. ?=(4/3)(198)=264 women. Then add the men. 264+198=462 workers.

Check your work. (462/7)*3=198 men.

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Help find the value of x.
Savatey [412]

Answer:

75 degrees

Step-by-step explanation:

The shape is a trapezoid. When finding angle measurements in trapezoids:

Angle A + Angle C = 180 degrees

Angle B + Angle D = 180 degrees

Because you need to find the angle of B, we will use Angle B + Angle D = 180 degrees to solve this. Angle D is 105 degrees, so 105 + Angle B = 180. 180-105 equals 75, so angle B is 75 degrees.

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3 years ago
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