9514 1404 393
Answer:
A. 2x^2 +4
B. 5x^3 -4x^2 +3x -12
C. addition and subtraction of polynomials result in polynomials (closed)
Step-by-step explanation:
A. The total of the two side lengths is ...
(3x^2 -4x -1) +(-x^2 +4x +5) = (3 -1)x^2 +(-4+4)x +(-1+5) = 2x^2 +4
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B. The length of the third side is the difference between the total for all three sides and the total for the given two sides:
(5x^3 -2x^2 +3x -8) - (2x^2 +4) = 5x^3 +(-2-2)x^2 +3x +(-8-4)
= 5x^3 -4x^2 +3x -12
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C. Addition of the two polynomials results in a polynomial. Subtraction of the two polynomials results in a polynomial. There is nothing here to indicate the set of polynomials is not closed under addition and subtraction.
The formula for a cylinder is πr²*h where r is the radius and h is the height:
1.) Plug in r for 4, as the radius is 4
π(4)²*h
2.) Plug in h for 8, as the height is 8
π(4)²*8
3.) Simplify 4²
π(16)8
4.) Simplify 16*8
π128
5.) Don't forget your units, inches cubed (because you multiplied three dimensions all with inches, which results in the inches being multiplied three times as well)
π128 in³ or 128πin³
It is the third answer choice, hope this helped :)
Remember that to solve an equation we need to isolate the variable in one side. To do it we can perform any mathematical operations we want as long as we perform the operations to both sides of the equation.
Let's solve our equation step by step
Step 1. Subtract
from both sides of the equation



Step 2. Subtract 3 from both sides of the equation


Step 3. Divide both sides of the equation by 




We can conclude that the next step is: subtract 3 from both sides of the equation.
A graph shows the solutions to be
(x, y) = (-6, 312) or (6, 312)To solve algebraically, remove a factor of 2 from the second equation and use that expression to substitute for y in the first equation.
10x^2 -(8x^2 +24) = 48
2x^2 = 72
x = ±√(72/2) = ±6
y = 8*36 +24 = 312
Answer:
B
Step-by-step explanation: