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:
(5/2) ² or 25 /4
Step-by-step explanation:
x² - 5x - 18 = 0
x² -5x = 18
x² -5x + (5/2)²= 18 + (5/2)²
Answer:
First one is d and second one is c
Step-by-step explanation:
(6x+7)(x-8)
(6x)(x) = 6x^2
(6x)(-8) = -48
(7)(x) = 7x
(7)(-8) = -56
Add all like terms together and you get choice d.
(w+3)(w-3)
(w)(w) = w^2
(w)(-3) = -3w
(3)(w) = 3w
(3)(-3) = -9
Add all like terms together and you get choice c
Answer:
The 100 trees checked for damage
Step-by-step explanation:
Edge 2021 says it correct
<span>The question says,'which one of the following characteristics of a solid is of concern in geometry. The correct option is C. This is because, geometry is an aspect of mathematics that deals wiht shape, size and properties of solids. It involves the visual study of shape and thier sizes in different positions in space.</span>