If (x+2) is a Factor x^3 + 2x^2 + 2x + k then find the value of K.​

4

Step-by-step explanation:

if x+2 is a factor of the above expression then,

x=-2

so putting the value of x in above expression we get,

(-2)^3+2×(-2)^2+2×(-2)+k=0

or,-8+8-4+k=0

k=4

Step-by-step explanation:

If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4

Firstly setup an equation to find the perimeter:

3x + 4x + 5x = 54, this is because perimeter is equal to sum of all side lengths

Then combine like terms:
12x = 54

Now use the division property of equality by dividing both sides by 12:
x = 4.5

So then, you will substitute the value of x for each value of the side lengths: 
3(4.5) = 13.5 for AB, 4(4.5) = 18 for BC, and 5(4.5) = 22.5 for AC. 

Hope this helps and let me know if you have any more questions!