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3 years ago

What are the next 3 terms of the sequence? 12, 20, 28, 36

Mathematics

1 answer:

gavmur [86]3 years ago

4 0

Add 8
C) 44, 52, 60
.................

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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

200/40+15 = ??<br><br><br>helpp mee ^^

wel

Answer:20 ^v^ Please follow me

Step-by-step explanation:

200/40=5

5+15=20

5 0

2 years ago

Read 2 more answers

Kenny and johnny went to thr water park. Johnny bought a $1.50 ice cream bar. Write an expression to represent the amount the tw

blsea [12.9K]

2p+1.5=total spent I hope this helps

8 0

3 years ago

A cone ha a volume of 27 pi cm cubed and a radius of 3 cm what is the height of the cone

vampirchik [111]

I answered this before and explained this but the answer is 3π I think. Hope this helps

7 0

3 years ago

Root of 6x^2 -8 = -8x

Svetlanka [38]

Answer:

If your question is set up like this $\sqrt{6x^2-8}=-8x$ then your answer is No solution.

If your question is set up like this $\sqrt{6x^2}-8=-8x$ then your answer is $x=\frac{4(8-\sqrt{6}) }{29}$ or x = 0.765

Hope this helps!

8 0

3 years ago