Answer:
d
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
This is because 6+10=16 so your line with x must equal 16. You subtract 5 from 16 to get 11. This is your answer.
Check the picture below.
notice that the triangle ADH, since the segment AL is an angle bisector, meaning it cuts the angle A in two equal halves, then the triangle ADH is only using half of A.
Answer:
The final velocity v is 21.74 m/s.
Step-by-step explanation:
Given:
![\textrm{initial velocity} = u = 9\ m/s\\\textrm{acceleration} = a = 7\ m/s^{2}\\\textrm{distance} = s = 28\ m](https://tex.z-dn.net/?f=%5Ctextrm%7Binitial%20velocity%7D%20%3D%20u%20%3D%209%5C%20m%2Fs%5C%5C%5Ctextrm%7Bacceleration%7D%20%3D%20a%20%3D%207%5C%20m%2Fs%5E%7B2%7D%5C%5C%5Ctextrm%7Bdistance%7D%20%3D%20s%20%3D%2028%5C%20m)
To find:
![\textrm{final velocity} = v = ?](https://tex.z-dn.net/?f=%5Ctextrm%7Bfinal%20velocity%7D%20%3D%20v%20%3D%20%3F)
Solution:
As we know the third equation of motion is represented as
![v^{2} = u^{2} + 2\times a\times s\\](https://tex.z-dn.net/?f=v%5E%7B2%7D%20%3D%20u%5E%7B2%7D%20%2B%202%5Ctimes%20a%5Ctimes%20s%5C%5C)
Substituting the values u, a and s in the above equation we get
![v^{2} = 9^{2} + 2\times 7\times 28\\ =81 + 392\\=473\\](https://tex.z-dn.net/?f=v%5E%7B2%7D%20%3D%209%5E%7B2%7D%20%2B%202%5Ctimes%207%5Ctimes%2028%5C%5C%20%3D81%20%2B%20392%5C%5C%3D473%5C%5C)
![v =\±\sqrt{473} \\v =\sqrt{473} \ \textrm{as acceleration is positive v is also positive}\\v = 21.74\ m/s](https://tex.z-dn.net/?f=v%20%3D%5C%C2%B1%5Csqrt%7B473%7D%20%5C%5Cv%20%3D%5Csqrt%7B473%7D%20%5C%20%5Ctextrm%7Bas%20acceleration%20is%20positive%20v%20is%20also%20positive%7D%5C%5Cv%20%3D%2021.74%5C%20m%2Fs)
Answer:
question 6:
+ 9x + 14 and (x + 2) (x + 7)
question 7:
- 7x + 10 and (x - 2)(x - 5)
question 8:
- 9x + 20 and (x - 4)(x - 5)
question 9:
(x + 1) (x - 17)
- 17x + 1x - 17
- 16x - 17
question 10:
(x - 1) (x + 17)
+ 17x - 1x - 17
+ 16x - 17