Answer:
x= 9, x= 2
Step-by-step explanation:
x^2- 2x- 9x+ 18= 0
x (x-2) -9 (x-2)
(x-9) (x-2)
x-9= 0, x-2= 0
Therefore, x= 9, x= 2
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There is a lack of a diagram to go along with this question...
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Answer: 466.56
Step-by-step explanation:
Volume = pi times radius^2 times height/3
Radius = 1/2 of the diameter
Volume = 3.24 times 6^2 times 12/3
Volume = 3.24 times 36 times 4
Volume = 116.64 times 4
Volume = 466.56
Answer:
8 and 6
Step-by-step explanation:
If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.
You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.
The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.
Next, we add 10 to both sides. This gives 8x=64.
From there, we isolate the x by dividing both sides by 8, giving x=8.
To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).
This comes to y=8-2, therefore y=6.
**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!