The correct answer is 29/20
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)
Answer:
8:19
Step-by-step explanation:
It is 17 minutes until 8:00. 36 - 17 = 19 minutes left.
8:00 + 19 minutes = 8:19
Okay, start with the smaller square, you know the side length is 3 and that the width is 5, multiply this together:
3 * 5 = 15
That's the smaller left side of this shape, now the bigger side, divide the 10 yards at the bottom by 2 to properly represent the other side then multiply this by the 6 over there.
5 * 6 = 30
Conclusion for Area: After adding the results the answer should be 45.
The perimeter is solely adding all the sides together. You have a 10, two 5's, one 6, and two 3's. Add this together:
10 + 5 + 5 + 6 + 3 + 3 = 32
Conclusion for Perimeter: So the perimeter would be 32.
I hope this helps in someway, have a great rest of your day! ^ ^
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Answer:
Corn was planted in 24 sq.ft. of the vegetable garden.
Step-by-step explanation:
Length of garden = 9 ft
width of garden = 8 ft
Hence we will first find the total area of garden.
Total area of garden = length × width = 
He planted 1/2 of the garden with vegetables.
Hence.
Area of Vegetables garden = 
He planted tomatoes in 1/3 of the vegetable garden and corn in the rest
Area in which tomatoes was planted = 
Hence Area in which corn were planted = Area of Vegetables garden - Area in which tomatoes was planted = 
Hence Area of vegetable garden in which corn was planted is 24 sq.ft.
