Answer: 3x + 15 = 51
x is the number of laps that she swims on Monday, Wednesday, and Friday. Since she swims the same amount, we can multiply x by three. Since Saturday gives us an explicit answer, we can just add that to the equation.
Hope this helps :)
Answer:
A.T.Q
first we need to open the bracket
,when we open breaket the sign in the bracket will change
so the question is
- g - 4 + 2g + 6
now, we take like terms together
- g + 2g - 4 + 6
g + 2 is the answer by solving
Answer:
Option 4 is correct. The length of PR is 6.4 units.
Step-by-step explanation:
From the given figure it is noticed that the triangle PQR and triangle MQR.
Let the length of PR be x.
Pythagoras formula
![hypotenuse^2=base^2+perpendicular^2](https://tex.z-dn.net/?f=hypotenuse%5E2%3Dbase%5E2%2Bperpendicular%5E2)
Use pythagoras formula for triangle PQM.
![PM^2=QM^2+PQ^2](https://tex.z-dn.net/?f=PM%5E2%3DQM%5E2%2BPQ%5E2)
![PM^2=(6)^2+(8)^2](https://tex.z-dn.net/?f=PM%5E2%3D%286%29%5E2%2B%288%29%5E2)
![PM^2=36+64](https://tex.z-dn.net/?f=PM%5E2%3D36%2B64)
![PM^2=100](https://tex.z-dn.net/?f=PM%5E2%3D100)
![PM=10](https://tex.z-dn.net/?f=PM%3D10)
The value of PM is 10. The length of PR is x, so the length of MR is (10-x).
Use pythagoras formula for triangle PQR.
![PQ^2=QR^2+PR^2](https://tex.z-dn.net/?f=PQ%5E2%3DQR%5E2%2BPR%5E2)
![(8)^2=QR^2+x^2](https://tex.z-dn.net/?f=%288%29%5E2%3DQR%5E2%2Bx%5E2)
.....(1)
Use pythagoras formula for triangle MQR.
![MQ^2=QR^2+MR^2](https://tex.z-dn.net/?f=MQ%5E2%3DQR%5E2%2BMR%5E2)
![(6)^2=QR^2+(10-x)^2](https://tex.z-dn.net/?f=%286%29%5E2%3DQR%5E2%2B%2810-x%29%5E2)
![36=QR^2+x^2-20x+100](https://tex.z-dn.net/?f=36%3DQR%5E2%2Bx%5E2-20x%2B100)
.... (2)
From equation (1) and (2) we get
![36-x^2+20x-100=64-x^2](https://tex.z-dn.net/?f=36-x%5E2%2B20x-100%3D64-x%5E2)
![20x-64=64](https://tex.z-dn.net/?f=20x-64%3D64)
![20x=128](https://tex.z-dn.net/?f=20x%3D128)
![x=6.4](https://tex.z-dn.net/?f=x%3D6.4)
Therefore length of PR is 6.4 units and option 4 is correct.
Answer:
64x³+4
-------------
2x-1
Step-by-step explanation:
I hope this helps. :)