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Nuetrik [128]
3 years ago
11

HELP!! ILL GIVE BRAINLESS Comparing Functions: Mastery Test

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0
I think the answer is D not to sure
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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
The perimeter of a circle is 132 cm calculate its radius and area ​
son4ous [18]

Answer:

r≈21.01cm

Step-by-step explanation:

I think that's the exact answer

4 0
2 years ago
What is 14145 divided by 23?
Kobotan [32]

Answer:

615

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The amount of time it takes an ice cube to melt varies inversely to the air temperature. At 30 degrees Celsius, the ice will mel
Anon25 [30]

Answer:

hope this helps A block of ice melts in 2.5 hours when the temperature is 54 degrees.

Step-by-step explanation:therefore you can increase 2.5 and decrease 54 to whatever number you need

4 0
2 years ago
Alex, Ian, and Ric together sold 48 tickets for the school fund-raiser. Alex sold 11 tickets and Ian sold 18 tickets. How many t
eimsori [14]
To determine the number of tickets that Ric sold, subtract from the total tickets sold the sum of the number of tickets sold by Alex and Ian. This is mathematically shown as, 

                        tickets (Ric) = tickets (total) - (tickets (Alex) + tickets (Ian))

                                  tickets (Ric) = 48 - (11 + 18) = 19

Hence, Ric sold 19 tickets for the fundraising. 
8 0
3 years ago
Read 2 more answers
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