The answer is 65 if you add on by three
Answer:
x^2 - 6x + 147 so the coefficient is 1
Step-by-step explanation:
First, simplify the equation.
1. 2/3x(2x-3) = (2x/3)(2x-3)-(x-7)(x+7)
2. 2x-3(2x/3) = (2x(2x-3)) - (x-7)(x+7)
3. Expand -(x-7)(x+7) = -x^2+49
Combine to get (x^2 - 6x)/3 +49
Simplify to get x^2 - 6x + 147. The coefficient of the quadratic term is one.
Just by looking at it, 2 seems to be the correct answer. I mean if you think about it, when the triangle is split in two smaller triangles, side LN is longer than LP so that means x needs to be a small number. I could either be 2 or 1. Well if you look at the big picture, side LM is longer than LN so it’s gonna need to be bigger. If you say x=1 then you are saying 2(1) +4 = 6 (therefore LM is 6) but if you say x=2 then you are saying 2(2) +4 = 8 which makes more sense
If x=2 then you can use the Pythagorean’s theorem
a2 + b2 = c2
4^2 + b^2 = 5^2
16 + b^2 = 25
25-16= 9
b^2= 9
b= 3
Now that we know what NP is we can do Pythagorean’s theorem to figure out what side LP is (we already know it but you can do it again to check lol)
So the answer is 2
