10. Factor form: 2(x+5)x(x+1)
11. Factor: (x-4)x(x-10)
12. Factor: (a-8b)x(a+8b)
Hope this helps! ❤️
You use Pythagorean theorem...a^2+b^2=c^2
a=12ft
b=47-31.. height of the triangle
c=distance between two roof tops
(12)^2+(16)^2=c^2
144+256=c^2
400=c^2, take square root of both sides
c=20ft
You can write the equation using conventional symbols as
3x^2 - 2x - 5 = 0
You can recognize that the middle coefficient is equal to the sum of the other two, so those two coefficients can be used to factor the equation.
(1/3)(3x +3)(3x -5) = 0 . . . . . put the coefficients in the form (1/a)(ax + ...)(ax + ...) (x+1)(3x-5) = 0 . . . . . simplify
The solutions are the values of x that make one or the other of the factors equal to zero.
x = -1
x = 5/3
so it would be 8x13/8+13, which would simplify out to be 104/8+13 which would then simplify out even more to be 104/21 as a fraction or 4.95 as a decimal
hope this helps!! :) ❤❤❤❤
