I would say that the "n"th term of the sequence is 41, as the pattern increases by 10 every term.
(x^2+5x-36)/(x^2-16)
=(x^2+9x-4x-36)/(x^2-4^2)
=x(x+9)-4(x+9)/(x+4)(x-4)
=(x-4)(x+9)/(x+4)(x-4)
=x+9/x+4
Hope this helps.
Answer:
y = 4/9 x + 4
Step-by-step explanation:
Slope intercept form: y = mx = b
So 4x - 9y = -36
9y = 4x+ 36
y = 4/9 x + 4
8x + 7y = 39
4x - 14y = -68
(multiply each term in second equation by -2)
8x + 7y = 39
-8x + 28y = 136
(add both equations)
35y = 175
(divide both sides by 35)
y = 5
(substitute value of y in one of the equations)
8x + 7(5) = 39
8x + 35 = 39
8x = 4
x = 1/2
(x, y) = (1/2, 5)
Answer:
1 + i
Step-by-step explanation:
To rationalize multiply numerator and denominator by (2 + i )
