The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2
Given that the softball diamond is square in shape.
Let the side of the square i.e. distance between consecutive bases is x
The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.
Using the Pythagorean theorem we have:
x² +x²= c²,
where c is the distance from the 1st base to the 3rd base.
Combining similar terms gives us
2x²=c²
Taking the square root of both sides we have
√2x²= √c²
⇒x√2=c
⇒c=x√2
This is the expression for the distance from the 1st base to the 3rd base in terms of side length.
Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.
Learn more about the Pythagorean theorem
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The larger of the two roots of the equation 
would be 28.59.
<h3>How to find the roots of a quadratic equation?</h3>
Suppose that the given quadratic equation is
Then its roots are given as:
The given quadratic equation is
now, the roots of the equation are
The two roots are 0.27 and 28.59.
Thus, the larger of the two roots of the equation would be 28.59.
Learn more about finding the solutions of a quadratic equation here:
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Answer:
4
Step-by-step explanation:
(6^2) -5(6) -2 =4
that is the answer
Answer:
x = 271 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
