For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.
If b is the base then the height h=b+6. As we have S=bh/2 then
36=b(b+6)/2;
b²+6b-72=0;
D/4=3²+72=81
b₁=-3-9=-12
b₂=-3+9=6.
The base is always positive so b=6, h=6+6=12.
Answer: base=6 ft, height=12 ft.
Answer:
480 miles.
Step-by-step explanation:
Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.
We have been given that there was heavy traffic on the way there, and the trip took 12 hours.
We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.
So Maria's speed while returning back would be 
.
Upon equating both distances, we will get:
Upon substituting in equation , we will get:
Therefore, Maya live 480 miles away from the mountains.
Answer:
sorry man can't help you with this one
Angle OPM and Angle LMK
When angles are corresponding, they're essentially on the same side. It's sort of hard to explain, so I'll attach a drawing. The one on the left with the check mark is a corresponding angle, and the one on the right with the X is a same-side angle. Essentially, corresponding angles are on the same side and are also equal, unlike same-side angles, which are supplementary angles.
Let me know if you don't understand my explanation.
-T.B.
