<span>1. Martina is given to be 14 years older than Joey who is x years old. Hence, the age of Martina can be expressed as,
x + 14
2. If Joey's current age is x then in 5 years he will become x+5 years old.
3. Martina's age will be her current age added with 5 making it, x+14+5 or x + 19.
4. The equation that would best represent the given scenario in this item is:
x + 19 = 3(x + 5)
5. From the given above, the value of x is equal to 2. This is Joey's current age.
6. The current age of Martina is x + 14 which is equal to 16.</span>
It's the last one. .........
Answer: A, and their proportional relationship is 5
Step-by-step explanation:
The correct expression is (a) n = 100; (x + 10)^2
<h3>How to determine the value of n?</h3>
The expression is given as:
x^2 + 20x + n
Take the coefficient of x
k = 20
Divide by 2
k/2= 10
Square both sides
(k/2)^2 = 100
The above value represents the value of n
i.e.
n = 100
So, we have:
x^2 + 20x + 100
Expand
x^2 + 10x + 10x + 100
Factorize
x(x + 10) + 10(x + 10)
Factor out x + 10
(x + 10)^2
Hence, the correct expression is (a) n = 100; (x + 10)^2
Read more about trinomial at:
brainly.com/question/1538726
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