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andre [41]
3 years ago
6

PLEASE HELP!! Algebra 2 Review !!

Mathematics
1 answer:
Kamila [148]3 years ago
6 0

Answer:

\frac{28-3i}{26}

Step-by-step explanation:

For #2, remember that i=\sqrt{-1}, so i^{2}=-1 Also, (a+b)(a-b), where a and b are any numbers, (a+b)(a-b)=a^2-b^2. Now, to simplify, or radicalize, a number with surds in the denominator, you have to multiply the denominator by its conjugate. If there is a complex number a+bi, where a and b are any numbers, the conjugate is always a-bi. Lets apply these rules. The conjugate of 4+6i is 4-6i, so do this:

\frac{5+6i}{4+6i}=\frac{(5+6i)(4-6i)}{(4+6i)(4-6i)}=\frac{20+24i-30i+36}{16+36}=\frac{56-6i}{52}=\frac{2(28-3i)}{2(26)}=\frac{28-3i}{26}

Our answer is (28-3i)/(26)!

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Find the Area and Perimeter of the
murzikaleks [220]

Answer:

Area: 7 units

Perimeter: 15 units

3 0
3 years ago
Identify the percent of change as an increase or decrease 38 staples to 55 staples find the percent of change round to the neare
erik [133]

Answer:

The percent of change is 44.7%

Step-by-step explanation:

Given that:

38 staples to 55 staples

As the number of staples are increased, therefore, the percent will also increase.

Difference = 55 - 38 = 17 staples

Percent of change = \frac{Difference}{Original\ number}*100

Percent of change = \frac{17}{38}*100

Percent of change = 0.447*100

Percent of change = 44.7%

Hence,

The percent of change is 44.7%

6 0
3 years ago
To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expressi
ahrayia [7]

Answer:

Inequality: 7.5x – 100 > 79.86 + 5.8x

Solution: x>106

The company must sell at least  106 items to make a profit.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Revenue: 7.5x – 100

Costs: 79.86 + 5.8x

To make a profit, a company’s revenue must be greater than its operating costs.

So:

7.5x – 100 > 79.86 + 5.8x

Solving for x (number of items sold)

7.5x-5.8x>79.86+100

1.7x >179.86

x>179.86/1.7

x> 105.8

x>106

The company must sell at least 106 items to make a profit.

Feel free to ask for more if needed or if you did not understand something.

6 0
3 years ago
Read 2 more answers
Find the area of the shaded regions:
Crank

First, we'll find the area of the large section, including the smaller section that is white.

Area of a circle: pi x r^2

A = pi x 7^2

A = 49pi x 120/360

A = 49/3 pi cm^2

Now, we'll find the area of the small section.

A = pi x 3^2

A = 9 pi x 120/360

A = 3pi cm^2

All that's left to do now is subtract.

49/3 pi - 3 pi

40/3 pi cm^2

(or 13 1/3 = 13.33 cm^2)

Hope this helps!

6 0
3 years ago
HELP ASAP PLZ i don’t understand this answer
svp [43]

Answer:

should be 140 I guess

Step-by-step explanation:

6 0
3 years ago
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