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 :-)
Volume units quarts to gallons (fluid and dry) conversion factor is 0.25 (quart is 1/4 of an gallon). To find out how many gallons in quarts, multiply by the factor, or simply use the converter below.
1 Quart = 0.25 (1/4) Gallon [US, UK, Fluid or Dry]
Quart and gallon are imperial and US customary volume measurement units. In US customary system, both units have different volume capacity for dry and fluid measurements but in imperial (UK), the volume is the same for both fluid and dry measurement.
Imagine a right triangle where a and b are the legs and c is the hypothenuse.
Pitagora: a²+b²=c²
Divide by c
(a/c)²+(b/c)²=1
But a/c=sin(B) and b/c=cos(B)
Thus sin² + cos² = 1
Answer:
I think the 1st one im not really sure tho
Step-by-step explanation:
To know if there is a perfect square you gotta see if there is a minus sign before the second coefficient and when you square the second coefficient divided by 2 you should get the third coefficient
