It would be the one with the greater numerator 6/6 would be greater than 5/6
Let x be the length of the rug
Area = length x width
122.12 = (x)(8.7)
x = 122.12/8.7
= 14.04 feet
Answer:
35x6=210
Step-by-step explanation:
The 5 in 35 and times that by 6 is 30. So the ones place is 0.
Set aside the 3 and do 3x6 which is 18. but add 3 is 21. So the answer is 210.
Answer: He actually rode 2 miles per hour on his trip
Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.
Time = distance /speed t will represent time, s is the speed: t = 30/s Use the rime it would have taken at the higher speed to create an equation:
t-12 = 30/s+8 replace the y with the 30/s
30/s -12 = 30/s+8
(s)(30/s -12 ) = (s)(30/s+8 ) Cross multiply to cancel denominators
(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s Simplify:
(-1)(-12s² -96s +240 ) =0 ==> 12s² +96s -240 divide all by 12
s² + 8s -20 = 0 Factor and solve for s
(s +10)(s -2) =0 s-2=0 S= 2
Proof:
30/2 = 15 hours for original trip at 2mph,
increase speed by 8mph 2 + 8 = 10mph
30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.
(Brainilest, please :-)
Answer:
Perpendicular
Step-by-step explanation:
-2x+3y=-1
6x+4y=4
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3y=-1-(-2x)
3y=-1+2x
3y=2x-1
y=2/3x-1/3
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4y=4-6x
4y=-6x+4
y=-6/4x+4/4
y=-3/2x+1
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2/3 and -3/2 are negative reciprocals, therefore, they are perpendicular.