Answer:
(-5,-4)
Step-by-step explanation:
Answer:
3/2 x
Step-by-step explanation:
length of a side of an equilateral triangle is x
The perimeter is
P = 3s where s is the side length
P = 3x
1/2 of the perimeter
1/2 (3x)
3/2 x
Answer : D
The denominators are same
So we combine the numerators
To remove parenthesis we distribute negative sign inside the second parenthesis
Morgan made a mistake. He forgot to distribute the negative sign
Morgan forgot to distribute the negative sign to two of the terms 2t and 2 inside second parenthesis
Probability a gets a head = 1/2
.. .. .. b .. .. ... .. = P(a gets tail) * 1/2 = 1/2 * 1/2 = 1/4
.. ... . .. c .. .. .. .. . = P(and and b gets tail) * 1/2 = 1/4 * 1/2 = 1/8
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)
