Of 162 students honored at an academic awards banquet, 48 won awards for mathematics and 78 won awards for English. There are 14

9x² - 16 = (3x - 4)(3x + 4). A C. The product of a and c is 16(9x²), which equals 144x². The value of b is zero as there is no b term (b stands for x, which is not x², but simply x). Hope this information is useful.

Answer:

No

Step-by-step explanation:

According to the Pythagorean Inequality Theorem, the sum of the two shorter sides must exceed the length of the third side.

4+6=10  

11 is still greater than 10.

Hence, constructing such a triangle is not feasible.

Answer:

Davide is 10 years old.

L'età di Davide è 10.

Step-by-step explanation:

The average ages of Aldo, Bruno, Carlo, and Davide amount to 16 years.

Let’s denote:

x for Aldo's age.

y for Bruno's age.

z for Carlo's age.

w for Davide's age.

The average for all four is 16 years.

This gives us:

Excluding Davide, the average age of the other three is 18. Therefore:

Substituting into the original equation:

Hence, Davide’s age is indeed 10.

L'età di Davide è 10.

To obtain a complete response, the diagram would be essential. However, to approximate the solution, I'd calculate the distances from her home to her school and combine that with the stretch from school to work, and finally, from work back home. If there’s no information regarding the distance from work to home, I’d simply double the traveled distance already accounted for.

Could you please clarify? I can't perform any calculations without knowing where this figure is and its dimensions -