The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2
![x+6064=48x+1\\6064-1=48x-x\\6063=47x\\47x=6063](https://tex.z-dn.net/?f=x%2B6064%3D48x%2B1%5C%5C6064-1%3D48x-x%5C%5C6063%3D47x%5C%5C47x%3D6063)
Dividing both sides by 47
![\frac{47x}{47}=\frac{6063}{47}\\x=129\ square \ miles](https://tex.z-dn.net/?f=%5Cfrac%7B47x%7D%7B47%7D%3D%5Cfrac%7B6063%7D%7B47%7D%5C%5Cx%3D129%5C%20square%20%5C%20miles)
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
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Answer to what? I’m confused lol
Use Pythagorean theorem to solve.
a^2 + b^2 = c^2
6^2 + b ^2 = 14^2
36 + b^2 = 196
Subtract 36 from both sides.
b^2 = 196-36
b^2 = 160
Take the square root of both sides.
b = sqrt 160
As a decimal
b = 12.649
As a simplified radical
b = 4sqrt10
Answer: y coordinate is 6
Step-by-step explanation:
6=1/2(3)(h)
If you solve for H then
h=4
So, add 4 to the line y=2
y=2+4
2+4= 6
Hence, the possible y coordinate of point C is 6
Hope this helped!
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Answer:
The TI-84 Plus Silver Edition is powered by four AAA alkaline batteries (not included) , with an automatic shutoff to save energy.
Step-by-step explanation: