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
Dividing both sides by 47
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
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Answer with Step-by-step explanation:
We know that the components of velocity are obtained from position as
Using the given values we obtain
Similarly
The the velocity function can be written as
The components of acceleration are obatined from the components of velocity as
Using the given values we obtain
Similarly
The the acceleration function can be written as
Thus at time 't=1' the velocity function becomes
Thus the component of acceleration in the direction of the given vector can be found by taking the dot product of the 2 vectors
Thus we get
Similarly the dot product is obtained for acceleration as
The correct value of the given function at x = 5 is y =3.
<h3>What is Equation?</h3>
An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.
Here, the given equation :
y = x - 2
put x = 5 in the given equation, we get
y = 5 - 2
y = 3
Thus, the correct value of the given function at x = 5 is y =3.
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