Discriminant = sq root (-17^2 -4*3*10)
discriminant = sq root (289 -120)
discriminant = sq root (169)
The discriminant is positive so the equation will have 2 rational solutions.
Answer:
11.3
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2
8^2+8^2=128
the square root of 128 is 11.3137085
then you round to the nearest tenth and get 11.3
Part A:
The distance travelled by an object at time t is given by: d = st
where d is the distance, s is the speed and t is the time.
Given that the cheetah travels a maximum of 70mph, the distance travelled by the cheetah travelling at 70mph at time t is given by d = 70t
There are 60 mins in one hour, so the distance given in miles per minutes is d = 70/60t = 1.167 miles per minutes.
Part B:
Given that t = 10 minutes, the distance covered by the cheetah in 10 minutes is d = 1.167 x 10 = 11.67 miles.
Part C:
<span>If the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes, then the number of minutes the cheetah have traveled in the first 8 minutes</span> is given by
d = 1.167 x 8 = 9.33 miles.
Part D:
If the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes, then<span> the number of minutes the cheetah have traveled in the second 8 minutes is given by
d = 40/60 x 8 = 5.33 miles
Part E:
</span><span>The distance the cheetah traveled in the first 8 minutes more than in the second 8 minutes </span>is given by
9.33 miles - 5.33 miles = 4 miles.
Part F:
The ratio of the distance travelled in the first 8 minutes to the distance travelled in the next minutes is given by
9.33 : 5.33 = 1.75 : 1.
Therefore, <span>the distance traveled by the cheetah during the first 8 minutes is 1.75 times greater than the distance traveled during the second 8 minutes.
</span>
2.7 gallons.
Since the tank is already 4/5 full, only 1/5 is needed to fill it completely. As 13.5 gallons represent 5/5 (the full tank), you can take 13.5 divided by 5 to find 1/5.
