<span>3x - 5 < 4.
Add 5 to both sides,
3x < 9
Divide 3 from both sides,
x < 3
Hope this helps!</span>
Answer:
The slope is 7/7 or 1.
Step-by-step explanation:
Find any two points on the line. I chose (0,7) and (-7,0).
Put rise over run.
7-0
———
0 – -7
this would equal 7/7 which simplifies to 1.
Hope this helped!
The value of h(t) when
is 10.02.
Solution:
Given function ![h(t)=-16t^2+15t+6.5](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E2%2B15t%2B6.5)
To find the value of h(t) when
:
![h(t)=-16t^2+15t+6.5](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E2%2B15t%2B6.5)
Substitute
in the given function.
![$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5](https://tex.z-dn.net/?f=%24h%5Cleft%28%5Cfrac%7B15%7D%7B32%7D%20%5Cright%29%3D-16%5Cleft%28%5Cfrac%7B15%7D%7B32%7D%20%5Cright%29%5E2%2B15%5Cleft%28%5Cfrac%7B15%7D%7B32%7D%20%5Cright%29%2B6.5)
![$=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5](https://tex.z-dn.net/?f=%24%3D-16%5Cleft%28%5Cfrac%7B225%7D%7B1024%7D%20%5Cright%29%2B15%5Cleft%28%5Cfrac%7B15%7D%7B32%7D%20%5Cright%29%2B6.5)
Now multiply the common terms into inside the bracket.
![$=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5](https://tex.z-dn.net/?f=%24%3D-%5Cleft%28%5Cfrac%7B3600%7D%7B1024%7D%20%5Cright%29%2B%5Cleft%28%5Cfrac%7B225%7D%7B32%7D%20%5Cright%29%2B6.5)
Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.
![$=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5](https://tex.z-dn.net/?f=%24%3D-%5Cleft%28%5Cfrac%7B225%7D%7B64%7D%20%5Cright%29%2B%5Cleft%28%5Cfrac%7B225%7D%7B32%7D%20%5Cright%29%2B6.5)
To make the denominator same, take LCM of the denominators.
LCM of 64 and 32 = 64
![$=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}](https://tex.z-dn.net/?f=%24%3D-%5Cleft%28%5Cfrac%7B225%7D%7B64%7D%20%5Cright%29%2B%5Cleft%28%5Cfrac%7B225%5Ctimes2%7D%7B32%5Ctimes2%7D%20%5Cright%29%2B6.5%5Ctimes%5Cfrac%7B64%7D%7B64%7D)
![$=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}](https://tex.z-dn.net/?f=%24%3D-%5Cfrac%7B225%7D%7B64%7D%20%2B%5Cfrac%7B450%7D%7B64%7D%2B%5Cfrac%7B416%7D%7B64%7D)
![$=\frac{-225+450+416}{64}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B-225%2B450%2B416%7D%7B64%7D)
![$=\frac{641}{64}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B641%7D%7B64%7D)
= 10.02
![$h\left(\frac{15}{32} \right)=10.02](https://tex.z-dn.net/?f=%24h%5Cleft%28%5Cfrac%7B15%7D%7B32%7D%20%5Cright%29%3D10.02)
Hence the value of h(t) when
is 10.02.
Answer:
946.4 cm
Step-by-step explanation:
Formula for finding the area of any polygon :
number of sides (n) x 0.5 x length of sides (s) x apothem (a)
Area = 8 x 0.5 x 14 x 16.9 = 946.4
hope this helps ! :)