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Triss [41]
3 years ago
12

Which choice is equivalent to the fraction below? (Hint: Rationalize the denominator and simplify.) I NEED HELP HELP PLEASE PLEA

SE HELP HELP PLEASE HELP ME PLEASE PLEASE HELP PLEASE PLEASE ASAP PLEASE PLEASE THANK

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Answer:

A sqrt(x+2) - sqrt(x)

Step-by-step explanation:

2

--------------

sqrt(x) + sqrt(x+2)

Multiply top and bottom by sqrt(x) - sqrt(x+2)

2                              sqrt(x) - sqrt(x+2)

------------------------ * --------------------------

sqrt(x) + sqrt(x+2)   sqrt(x) - sqrt(x+2)

FOIL the denominator

2 (sqrt(x) -  sqrt(x+2))

------------------------------

sqrt(x^2) - sqrt(x) sqrt(x+2) + sqrt(x) sqrt(x+2) - sqrt(x+2)^2

2 sqrt(x) - 2 sqrt(x+2)

------------------------------

x - (x+2)

Distribute the minus sign

2 (sqrt(x) -  sqrt(x+2))

------------------------------

x - x-2

2 (sqrt(x) -  sqrt(x+2))

------------------------------

-2

Cancel the 2 in the top and bottom

(sqrt(x) -  sqrt(x+2))

------------------------------

-1

Distribute the -1

sqrt(x+2) - sqrt(x)

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Tell whether the sequence 1/3, 0, 1, -2 ... is arithmetic, geometric, or neither. Find the next three terms of the sequence.
max2010maxim [7]

Answer:

A. neither; 7, -20, 61

Step-by-step explanation:

The sequence 1/3, 0, 1, -2 ...

The difference between the terms are; -1/3, 1, -3......

Looking the difference between consecutive terms in the sequence, we can predict the next differences between the following terms, as the differences form a geometric sequence;

Therefore; -1/3, 1, -3, 9, -27, 81

Thus; the sequence will be;

1/3, 0, 1, -2 , (-2+9), (-2+9+-27), (-2+9+-27+81)

1/3, 0, 1, -2, 7, -20, 61

Hence the next three terms are; 7, -20, 61

6 0
3 years ago
What is the square root of 504 simplified ?
Reil [10]

Answer:

6\sqrt{14}

Step-by-step Explanation:

     To simplify \sqrt{504}, we will look for numbers that 504 can be divided by until there are no perfect square roots under the radical.

[] To do this, we can think of perfect square roots such as 4, 9, 16, etc

We can divide 504 by 36 for an answer of 14, so \sqrt{504} can be written as \sqrt{36*14} which can be written as 6\sqrt{14} because the square root of 36 is 6.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0
2 years ago
Find the slope of the line through (-9,-10) and (-2,-5)
valentina_108 [34]
Slope = Change in y direction / Change in x direction

m =  \frac{y_2-y_1}{x_2-x_1} =  \frac{-5-(-10)}{-2-(-9)} =  \frac{5}{7}


5 0
3 years ago
An angle measures 64 degrees more than the measure of its complementary angle. What is the measure of each angle?
fiasKO [112]

Answer:

13 and 77 degrees

Step-by-step explanation:

Complementary = 90 degrees

Set an angle to x

x+(x+64)=90

2x+64=90

2x=26

x=13

angle measures: 13, 77 degrees

7 0
3 years ago
HELP PLEASE! idk the answer :(
mezya [45]

Answer:

A because 63/4 is 15.75

7 0
3 years ago
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