The product in simplest form is (x - 4)
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
![\frac{8}{2x+8} \times \frac{x^2-16}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B2x%2B8%7D%20%5Ctimes%20%5Cfrac%7Bx%5E2-16%7D%7B4%7D)
We have to find the product in simplest form
In the given expression,
2x + 8 = 2(x+ 4)
We know that,
![a^2-b^2=(a+b)(a-b)](https://tex.z-dn.net/?f=a%5E2-b%5E2%3D%28a%2Bb%29%28a-b%29)
Therefore,
![x^2-16 = x^2-4^2 =(x+4)(x-4)](https://tex.z-dn.net/?f=x%5E2-16%20%3D%20x%5E2-4%5E2%20%3D%28x%2B4%29%28x-4%29)
Substitute these in given expression
![\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B2%28x%2B4%29%7D%20%5Ctimes%20%5Cfrac%7B%28x%2B4%29%28x-4%29%7D%7B4%7D)
Cancel the common factors,
![\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B2%28x%2B4%29%7D%20%5Ctimes%20%5Cfrac%7B%28x%2B4%29%28x-4%29%7D%7B4%7D%20%3D%20x%20-%204)
Thus the product in simplest form is (x - 4)
Answer:
i expert answer
Step-by-step explanation:its slope
The answer to this is letter D
Inequalities are used to represent unequal expressions
The solution to the inequality is: ![x > -3](https://tex.z-dn.net/?f=x%20%3E%20-3)
<h3>How to determine the inequality solution</h3>
The inequality is given as:
60>5(6-2x)
Rewrite the inequality properly as:
![60>5(6-2x)](https://tex.z-dn.net/?f=60%3E5%286-2x%29)
Divide both sides of the inequality by 5
![12>6-2x](https://tex.z-dn.net/?f=12%3E6-2x)
Subtract 6 from both sides of the inequality
![6>-2x](https://tex.z-dn.net/?f=6%3E-2x)
Divide both sides of the inequality by -2
![-3Rewrite the inequality as[tex]x > -3](https://tex.z-dn.net/?f=-3%3C%2Fp%3E%3Cp%3ERewrite%20the%20%3Cstrong%3Einequality%3C%2Fstrong%3E%20as%3C%2Fp%3E%3Cp%3E%5Btex%5Dx%20%3E%20-3)
Hence, the solution to the inequality is: ![x > -3](https://tex.z-dn.net/?f=x%20%3E%20-3)
Read more about inequalities at:
brainly.com/question/11234618
The length of the hypotenuse in inches is 2 square root 13