hilby5893
29.01.2020 •
Mathematics
Is -2x^2+5x equivalent to 5x-2(x^2+6)+12
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Ответ:
Explanation:
The question asks:
"Is {-2x² + 5x} equivalent to {5x − 2(x² + 6) + 12} ?"
First, we need to simplify the "second expression" ; then rewrite the "second expression; then rewrite the question;
The second expression: {5x - 2(x² + 6) + 12} ;
Let us simplify and rewrite.
First, let us expand the: -2(x² + 6) ;
Note: The distributive property of multiplication:
a(b+c) = ab + ac ;
a(b−c) = ab − ac ;
As such: -2(x² + 6) = -2*x² + (-2)*6 = -2x² + (-12) = -2x² − 12 ;
So we rewrite: "{5x − 2(x² + 6) + 12} " ; as:
{5x − 2x² − 12 + 12} = 5x − 2x²
= 5x + (-2x²) = -2x² + 5x; (rewrite with highest degree polynomial first);
So now, we can rewrite the ORIGINAL question:
"Is {-2x² + 5x} equivalent to {-2x² + 5x} ?"
The answer is: Yes! These values are equal; and as such, are equivalent.
So, the original question is:
"Is {-2x² + 5x} equivalent to {5x − 2(x² + 6) + 12} ?
The answer is: Yes; "{-2x² + 5x}" is equivalent to "{5x − 2(x² + 6) + 12}" .
Ответ:
V = 500 pi in^3
or approximately 1570 in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
The diameter is 10. so the radius is d/2 = 10/2 =5
V = pi (5)^2 * 20
V = pi *25*20
V = 500 pi in^3
We can approximate pi by 3.14
V = 3.14 * 500
V = 1570 in ^3