EXPLANATION
Given the expression 2y(x-y) +12=5x , plugging in x=3 into the expression,
2y(3-y) + 12 = 5*3
6y -2y^2 + 12 = 15
Rearranging terms:
Now, we need to apply the quadratic equation:
Multiplying terms:
![y_{1,2}=\frac{-6\pm\sqrt[]{36-24}}{-4}](https://tex.z-dn.net/?f=y_%7B1%2C2%7D%3D%5Cfrac%7B-6%5Cpm%5Csqrt%5B%5D%7B36-24%7D%7D%7B-4%7D)
Subtracting numbers:
![y_{1,2}=\frac{-6\pm\sqrt[]{12}}{-4}](https://tex.z-dn.net/?f=y_%7B1%2C2%7D%3D%5Cfrac%7B-6%5Cpm%5Csqrt%5B%5D%7B12%7D%7D%7B-4%7D)
Simplifying:
Answer:
9.05318 × 10^5
Step-by-step explanation:
The population of Charlotte NC in words is given in words as:
nine hundred five thousands, three hundred eighteen.
Writing this in figures = 905,318
Converting this to standard form = 9.05318 × 10^5
Therefore, the population of charlotte written in standard form is 9.05318 × 10^5
Answer:
4 months and you can check for yourself by plugin in 4 in both equations (e.g. 1(4)+16=4(4)+4
Step-by-step explanation:
To do this: Agora = 1x+16
Key Club = 4x+4
1x+16=4x+4
1x+12=4x
12=3x
4=x
Step-by-step explanation:
Height of the cylinder A(h1)=5cm
CSA of cylinder A(CSA1)=18cm^2
Height of the cylinder B (h2)=10cm
CSA of cylinder B (CSA)=?
Since cylinder A and B are similar,
h1=xh2
or,5cm=x*10cm
or,x=1/2
Similarly,
CSA1=xCSA2
or,18cm^2=1/2*CSA2
or,CSA2=36cm^2
We khow that,
Volume of cylinder B (V2)= CSA2 * h2
=36cm^2*10cm
=36cm^3
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