Since it's a right triangle, we can use SOH-CAH-TOA. So tan(x) = opposite/adjacent = 5/20
tan(x) = 1/4 = 0.25
x = arc-tan (0.25) = 14.04°
Answer:
(–∞, -4)
Step-by-step explanation:
Answer:Search it up
Step-by-step explanation:
Answer:
x = 4, x ≠ -1
Step-by-step explanation:
√3x + 4 = x
(√3x + 4)² = x² (Square both sides to get rid of the radical.)
3x + 4 = x²
0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)
0 = (x - 4)(x + 1) (Factor.)
x = 4 x = -1
Now we need to check for extraneous solutions:
√3(4) + 4 = 4
√12 + 4 = 4
√16 = 4
4 = 4
√3(-1) + 4 = -1
√-3 +4 = -1
√1 = -1
1 ≠ -1
-1 is an extraneous solution.
