I am assuming that parallelogram QRST is rectangle.
RS is the width and ST is the length.
RT is the diagonal. RU is half of the diagonal and TU is the other half of the diagonal.
Length = 12 ; Width = 10
to find the diagonal:
d = √(L²+W²
d = √ 12² + 100²
d = √ 144 + 100
d = √244
d = 15.62
RU + TU = 15.62
TU = 15.62 - 9.5
TU = 6.12
Answer:
Increasing in x < 7 and decreasing in x > 7.
Step-by-step explanation:
g(x) = 1 - ![(x-7)^{2}](https://tex.z-dn.net/?f=%28x-7%29%5E%7B2%7D)
![\frac{dg(x)}{dx} = -2(x - 7)](https://tex.z-dn.net/?f=%5Cfrac%7Bdg%28x%29%7D%7Bdx%7D%20%3D%20-2%28x%20-%207%29)
<u>If a function is increasing in a interval, its first derivative is positive and if a function is decreasing in an intreval, its first derivative is negative.</u>
Using this concept here,
Substitute x > 7,
the first derivative is negative.Hence it is decreasing in this interval.
Substitute x < 7,
The first derivative is positive.Hence it is increasing in this interval.
Hence the answer is increasing in x < 7 and decreasing in x > 7.
Answer:
I think the answer is -140
Answer:
7:24 pm
Step-by-step explanation:
speed = distance/time
time * speed = distance
time = distance/speed
time = (195 miles)/(50 miles/hour)
time = 3.9 hours
The trip will take 3.9 hours.
3 hours + 0.9 hours = 3 hours + 0.9 hours * 60 minutes/hour =
= 3 hours + 54 minutes
The trip will take 3 hours and 54 minutes.
3:30 pm + 3:54 = 6:84 pm = 7:24 pm
Answer: 7:24 pm