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podryga [215]
2 years ago
15

Solve this please .......​

Mathematics
1 answer:
nikdorinn [45]2 years ago
8 0

Answer:

The sum of reciprocals is 2/3.

You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.

Step-by-step explanation:

a+b = 2

a*b = 3

1/a + 1/b = x

(a*b)*(1/a + 1/b) = (a*b)x

b + a = (a*b)(x)

2 = 3x

x = 2/3

b = 2 - a

a*(2 - a) = 3

-a^2 + 2a = 3

-a^2 + 2a - 3 = 0

a^2 - 2a + 3 = 0

let's solve the quadratic equation

a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0

(a - 1)^2 = -2

a_1 - 1 = \sqrt{2}i\\a_1 = 1+\sqrt{2}i\\\\a_2 - 1 = -\sqrt{2}i\\a_2 = 1 - \sqrt{2}i\\

these options correspond to a and b from the original question.

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B) Write down the formula to find the perimeter of a circle.​
rewona [7]

Answer:

C = 2πr

Step-by-step explanation:

We know that, the perimeter of a figure is equal to the sum of all sides.

A circle having no sides.

The perimeter of a circle = The circumference of the circle

The formula for the circumference of the circle is given by :

C = 2πr

Where

r is the radius of the circle

Hence, this is the required solution.

7 0
3 years ago
Shaniqua is saving money to buy a new television that costs $252. She already has $87 saved. If she gets paid $11 per hour,how m
suter [353]

Answer: 15 hours

Step-by-step explanation:

Total cost of TV = $252, Savings= $87. So, she will require, $252-$87 = $165 to buy TV.

Also, it's given that, she gets paid $11 per hour.

Therefore, she will require 165/11 hours = 15 hours to buy new Tv at the wage rate of $11/ hour.

8 0
3 years ago
Differentiate Functions of Other Bases In Exercise, find the derivative of the function.
WARRIOR [948]

Answer:

\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}

Step-by-step explanation:

given

y = \log_{10}{(x^2+6x)}

using the property of log \log_ab=\frac{log_cb}{log_ca}, and if c =e,\log_ab=\frac{ln{b}}{ln{a}}, we can rewrite our function as:

y = \dfrac{\ln{\left (x^{2} + 6 x \right )}}{\ln{\left (10 \right )}}

now we can easily differentiate:

\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{d}{dx}(\ln{(x^{2} + 6x)})\right)

\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{2x+6}{x^{2} + 6x}\right)

\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}

This is our answer!

3 0
3 years ago
Read 2 more answers
8. Aimi decided to spend her money and save some in the ratio of 3:2. If her total money is RM
Bogdan [553]

Step-by-step explanation:

2/5×7500

2×1500

3000

RM=3000

3 0
3 years ago
Jonas wants to mail a package that weighs 4.2 kilogram. how much dose the package weigh in pounds?
mash [69]

jonas wants to mail a package that weighs 4.2 kilogram. how much dose the package weigh in pounds?​

we know that

1 kg = 2.20462262185 lb

1 kg=2.2 lb

we have

4.2 kg

Convert to pounds

so

4.2 kg=4.2*(2.2)=9.24 pounds

therefore

the answer is 9.24 pounds

7 0
1 year ago
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