Answer:
y = -1/3x + 2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
The line y = 3x - 2 has slope 3.
The perpendicular line has slope -1/3.
Now we find the equation of the line that has slope -1/3 and passes through (-9, 5).
y = mx + b
y = -1/3x + b
5 = (-1/3)(-9) + b
5 = 3 + b
b = 2
The equation of the perpendicular is
y = -1/3x + 2
6 out of 20=what percent?
6/20=x%
percent means parts out of 100
x%=x/100
6/20=x/100
time both sides by 100
30=x
answer is 30% passed
100-30=70
70% is answer
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:
the answer is 6
Step-by-step explanation:
3×2-0×2=6
Answer:
Step-by-step explanation:
56 divided by 8 . 56/8. 56/8 = 7