The given trinagle is a right angle triangle. let the missing side be x. To find x, we would apply the pythagorean theorem which is expressed as
hypotenuse^2 = one leg^2 + other leg^2
From the triangle,
hypotenuse = 14
one leg = 9
other leg = x
Thus, we have
![\begin{gathered} 14^2=9^2+x^2 \\ 196=81+x^2 \\ x^2\text{ = 196 - 81 = 115} \\ x\text{ = }\sqrt[]{115} \\ x\text{ = 10.72} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2014%5E2%3D9%5E2%2Bx%5E2%20%5C%5C%20196%3D81%2Bx%5E2%20%5C%5C%20x%5E2%5Ctext%7B%20%3D%20196%20-%2081%20%3D%20115%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B115%7D%20%5C%5C%20x%5Ctext%7B%20%3D%2010.72%7D%20%5Cend%7Bgathered%7D)
To the nearest tenth, the length of the third side is 10.7
Given:
The statement is "Five times the difference of the cube of y and the square of x".
To find:
The algebraic expression for the given statement.
Solution:
We know that,
Cube = Power 3
Square = Power 2
Difference = Minus (-)
Times = Multiplication (×)
Now,
Cube of y = 
Square of x = 
Difference of the cube of y and the square of x = 
Five times the difference of the cube of y and the square of x is:
Required expression = 
Therefore, the correct option is C. The required algebraic expression for the given statement is
.
Answer:
A. 3x^2y(4x2 + 3xy - y^2)
Step-by-step explanation:
-12(x^4)y - 9x³y² + 3x²y³
-3x²y(4x² + 3xy - y²)