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sukhopar [10]
2 years ago
5

PLZZZ HELP!! BRAINLIEST FOR WHOEVER GETS RIGHT ANSWER

Mathematics
1 answer:
Sindrei [870]2 years ago
8 0

Answer:

2 - x^2

Step-by-step explanation:

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Can someone explain (with steps) how to rationalize the following expression?
insens350 [35]
F(x)=(-2/((x+y-2)^(1/2))-(x+y+2)^(1/2)
the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
(-x^2-y^2-2xy+2)(x+y-2)^(1/2)/(x+y-2)^(1/2)(x+y-2)^(1/2)
(Rationalize denominator by multiplying both top and bottom by sqrt)
(-x^2-y^2-2xy+2)((x+y-2)^(1/2))/(x+y-2)
(The function is now rational)
=(-x^2-y^2-2xy+2)(sqrt(x+y-2))/(x+y-2)
6 0
3 years ago
5. Rory is playing a video game where each game lasts 13⁄4 hours. He wants to play for 9 hours today and this evening. How many
olga_2 [115]
He can play two games. 13/4=3.25
3.25*2=6.5
7 0
3 years ago
Liza went out for pizza with her mom. Their meal cost $32. Sales tax is 5% and they decide to leave 15%
ASHA 777 [7]

Answer:

7

Step-by-step explanation:

fdgrgeag

5 0
3 years ago
A child walks due east on the deck of a ship at 3 miles perhour.
VladimirAG [237]

Answer:

16.28 mph ; 79.38°

Step-by-step explanation:

Given the following :

Speed of child due east = 3mph

Speed of ship due North = 16mph

Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus

Relative Speed = Sqrt(3² + 16²)

Relative Speed = sqrt(9 + 256)

= sqrt(265)

= 16.2788 mph

= 16.28 mph

From trigonometry ;

Tanθ = opposite / Adjacent

Tanθ = (16 / 3)

Tanθ = 5.333

θ = tan^-1(5.333)

θ = 79.379°

θ = 79.38°

6 0
3 years ago
Ms. Ache is paid $1250 per week but is fined $100 each day she is late to work. Ms. Ache wants to make at least $3,000 over the
faust18 [17]
She can have 7 days off at most because 3 X 1250 = 3750 - 700 = 3050
7 0
3 years ago
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