The algebraic expression for the given statement is: 2x² - 3 = y.
<h3>How to Write an Algebraic Expression?</h3>
To wrote an algebraic expression is translate a statement using numbers, variables, and mathematical sign into a mathematical statement.
Square of x is: x²
Product of x² and 2 is: 2x²
Thus, we would have:
2x² - 3 = y
The algebraic expression is: 2x² - 3 = y.
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The answer is v=5x^2-100x+500. First, since we are finding the volume of a square you already know that the equation for a square is volume= length*width*height. Because 5 inches was cut off from each side, that means that each side is now 10 inches shorter than it originally was. So, then you substitute the values into the formula. So the length is x-10 and the width is also x-10 and the height is 5in. Then you write the formula like this (x-10)(x-10)5. Second, you substitute the values into the formula. Since there are 2 x's that would make x^2 and add that to 5 that would make 5x^2. Then you multiply -10*10=-100. Finally, you multiply -10*-10-5=500. Then you add them all together to get 5x^2-100x+500
R<span> = √(2² + 5²) = √29 = 5 and change. Simple Pythagorean calc. Draw a picture and you will see it.</span>
The three points A,B,C are all points on this circle.
Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle (x,y):

Plugging in points A and B into distance formula, then setting them equal to each other gives:

Right away we can cancel out the x terms leaving:

Expand Left side and Solve for y:


Plug in points B and C as before:

Here we can cancel the y-terms.
Expand and solve for x:



Therefore the center of the circle is the point (6,3)