1) \((-2)\cdot (a+6)\) is equivalent to \(-2\cdot a -12\).
2) The number \(-22\) is both an Integer and a Rational Number.
3) 6 times the difference of b and p is equivalent to \(6\cdot (b-p)\).
4) \(\frac{5\cdot (14-2)^{2}}{2}\) is equivalent to \(360\).
5) \(u + x\cdot y\) is equal to 98.
6) The side length of the Square is approximately 22 feet.
7) \((7+5) + 4\cdot 13 - 2\) is equivalent to \(62\).
1) In this question we proceed to use Algebra methods to find an equivalent Expression:
\((-2)\cdot (a+6)\)
\(-2\cdot a -12\)
Hence, \((-2)\cdot (a+6)\) is equivalent to \(-2\cdot a -12\).
2) The number \(-22\) is both an Integer and a Rational Number. Integers comprises Whole Numbers with negative Sign and every Integer has its equivalent Rational Number.
3) In this question, we are require to translate a Sentence into an Algebra expression:
"6 times the difference of b and p"
\(6\cdot (b-p)\)
6 times the difference of b and p is equivalent to \(6\cdot (b-p)\).
4) In this question, we proceed to simplify the following Rational Number into its most simple form, in this case, a Whole Number:
\(\frac{5\cdot (14-2)^{2}}{2}\)
\(\frac{5\cdot 12^{2}}{2}\)
\(\frac{720}{2}\)
\(360\)
\(\frac{5\cdot (14-2)^{2}}{2}\) is equivalent to \(360\).
5) In this question we evaluate a given Function. If we know that \(z = u + x\cdot y\), \(u = 18\), \(x = 10\) and \(y = 8\), then the result is:
\(z = u + x\cdot y\)
\(z = 18 + 10\cdot 8\)
\(z = 98\)
In a nutshell, \(u + x\cdot y\) is equal to 98.
6) From Geometry we know that the Area of a Square can be determined by this formula:
\(A = x^{2}\)
Where:
\(A\) - Area, in square feet.
\(x\) - Side length, in feet.
If we know that \(A = 479\,ft^{2}\), then the side length of the square is:
\(x = \sqrt{A}\)
\(x = \sqrt{479\,ft^{2}}\)
\(x\approx 21.886\,ft^{2}\)
The side length of the Square is approximately 22 feet.
7) In this question, we need to Simplify the given Expression by Algebra means:
\((7+5) + 4\cdot 13 - 2\)
\(12 +52 - 2\)
\(62\)
\((7+5) + 4\cdot 13 - 2\) is equivalent to \(62\).
Please see this question related to Algebra: https://brainly.com/question/14413003
