6x-6=8x
subtract 6x from both sides
-6=2x
divide both sides by 2
x= -3
Let's say that the hypotenuse is length 1.
In a 45 45 90 triangle, the legs are equal to the hypotenuse * (1 / [sq rt (2)])
So if the hypotenuse =1, the legs equal 1 /
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1.4142135624
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which equals
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0.7071067812
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Source:
http://www.1728.org/trig2.htm
Answer:
(-infinity, 0)
(0, 4]
[30, infinity)
Step-by-step explanation:
The inequality seems a little weird since it doesn't reflect the formula for speed accurately. The right inequality should be:
average speed >= 24
(first half speed + second half speed)/2 >= 24
(x+ (x-10))/2 >= 24
x-5>=24
x>= 29
In this case, the answer should be only [30, infinity)
If I solve the inequality given by the problems, the result will be:
1/x + 1/ (x-10) >= 2/24 ---> multiply both side with x(x-10)
x-10 + x >= (2x^2-20x)/24 ---> move /24 to left side
48x-240 >= 2x^2-20x ---> move all left side to right side
0>=2x^2 -68x+240 ---> divide both side by 2
0>=x^2 - 34x +120
0>=x^2-30x -4x+120
x(x-30) -4 (x-30)
(x-4) (x-30)
x1=4 x2=30
Since the coefficient of x^2 is positive so only area between two result is negative.
The answer will be
x1= (-infinity, 4]
x1= (-infinity, 0) , (0, 4]
x2= [30, infinity)
Answe10/5 - 5/5 = 5/5
Step-by-step explanation: