3 cm

Simplify 2√2-√3 --------------- √2+√3

serious [3.7K]

Step-by-step explanation:

$= \frac{2 \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} }$

$= \frac{2 \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} } \times \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} - \sqrt{3} }$

$= \frac{ 2( \sqrt{2} - \sqrt{3} )( \sqrt{2} - \sqrt{3} )}{ { \sqrt{2} }^{2} - { \sqrt{3} }^{2} }$

$= \frac{2(2 - \sqrt{6} - \sqrt{6} - 3) }{2 - 3}$

$= \frac{2( - 1 - 2 \sqrt{6} )}{ - 1}$

$= \frac{ - 2(1 + 2 \sqrt{6} )}{ - 1}$

$= 2(1 + 2 \sqrt{6} )$

$= 2 + 4 \sqrt{6}$

6 0

1 year ago

The conversion rate for US Dollars to Costa Rican Colones is 1 USD = 518 Colones.

allsm [11]

The cost of 0.5 kg of bananas is 393.60 Colones as per the given conversion rates

Conversion rate of 1 USD to Costa Rican Colones = 518 Colones

The conversion rate of kg to pounds given in the question: 1 kg = 2.2025 lbs

Cost of one pound of bananas = $0.69

Bananas required to be purchased = 0.5kg

Converting 0.5kg bananas to pounds = 0.5*2.2025 = 1.10125 pounds

Cost of 1.10125 pound of bananas in dollars = 1.10125*0.69 = 0.7598

Cost of 1.1025 pounds of bananas in Colones = 0.7598*518 = 393.60 Colones

Hence, the cost is 393.60

Therefore, the cost of 0.5 kg bananas in Colones is 393.60 Colones

Learn more about conversion rate:

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5 0

8 months ago

1. Find the slope of the line that goes through the points (2, 5) and (6, 7)

ella [17]

Answer:

$\displaystyle m = \frac{1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Identify

Point (2, 5)

Point (6, 7)

Step 2: Find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{7-5}{6-2}$
[Fraction] Subtract: $\displaystyle m = \frac{2}{4}$
[Fraction] Simplify: $\displaystyle m = \frac{1}{2}$

7 0

2 years ago

Solve the systems by elimination: 8x-2y= -10 -4x+y= 5

Pachacha [2.7K]

Let's eliminate x. To achieve this, mult. the 2nd equation by 2, obtaining

-8x + 2y = 10. Now add this result to the first equation:

8x-2y= -10

-8x + 2y = 10

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0

The two equations actually represent the same line. Without an x- or a y-value, we cannot solve for the value of the other variable. There are infinitely many solutions.

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4 0

2 years ago

The ratio of the ages of three children is 2:4:5. The sum of their ages is 33. What is the age of each child?

sdas [7]

We can represent this situation by the equation 2x+4x+5x=33.

Then 11x=33, and x = 3.

Then the children's ages are in the ratio 2x:4x:5x, or 2(3):4(3):5(3), or

6:12:15.

Do these 3 ages add up to 33? 6 + 12 + 15 = 33? YES!

The children's ages are 6, 12 and 15 years respectively.

4 0

3 years ago

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