3 years ago

Please do any one of the word problems. Just tell me which one you did.

Mathematics

1 answer:

dybincka [34]3 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

What is the following quotient? 5/√11-√3

kati45 [8]

ANSWER

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

EXPLANATION

The given rational function is

$\frac{5}{ \sqrt{11} - \sqrt{3}}$

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

$\sqrt{11} - \sqrt{3}$

which is

$\sqrt{11} + \sqrt{3}$

When we rationalize we obtain:

$\frac{5( \sqrt{11} + \sqrt{3} )}{(\sqrt{11} - \sqrt{3} )( \sqrt{11} + \sqrt{3} )}$

The denominator is now a difference of two squares:

$(a - b)(a + b) = {a}^{2} - {b}^{2}$

We apply this property to get

$\frac{5( \sqrt{11} + \sqrt{3} )}{( \sqrt{11}) ^{2} - ( \sqrt{3}) ^{2} )}$

$\frac{5( \sqrt{11} + \sqrt{3} )}{11 - 3}$

This simplifies to

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

$\frac{5 } {8}\sqrt{11} + \frac{5 } {8}\sqrt{3}$

8 0

3 years ago

Read 2 more answers

PLEASE HELP!!

Mamont248 [21]

2 and 8 are alternate exterior angles

5 0

3 years ago

Read 2 more answers

Combine like terms to create an equivalent expression: -n + (-4) - (-4n) + 6

Taya2010 [7]

Answer:

3n + 2

Step-by-step explanation:

-n + 4n -4 + 6

3n + 2

6 0

3 years ago

Write a 4 digit number that has no zeroes and is divisible by 5 and 9

Hunter-Best [27]

Answer:

7,515

Step-by-step explanation:

8 0

3 years ago

What type of transformation transforms (a,b) to (-a,b)

Ugo [173]

Sus subsistíais ve. D s s d d s d f

4 0

3 years ago