Answer:
see below
Step-by-step explanation:
Since AB + BC = AC, x + 3x = 20 → 4x = 20 → x = 5.
AB = x = 5 and BC = 3x = 3 * 5 = 15.
= 12x + 15y because 3 x 4x = 12x and 3 x 5y = 15y
Y = x² + 4x - 5
y = 2x
x² + 4x - 5 = 2x
<u> - 2x - 2x</u>
x² + 2x - 5 = 0
x = <u>-(2) ± √((2)² - 4(1)(-5))</u>
2(1)
x = <u>-2 ± √(4 + 20)</u>
2
x = <u>-2 ± √(24)
</u> 2
x = <u>-2 ± 2√(6)</u>
2
x = -1 ± √(6)
x = -1 + √(6) U x = -1 - √(6)
y = 2x
y = 2(-1 ± √(6))
y = 2(-1) ± 2√(6)
y = -2 ± 2√(6)
(x, y) = (-1 ± √(6), -2 ± 2√(6))
<u />
(1, 5), b/c both lines pass through this point - is the correct answer.
2π is the period of `y = 1+ tan((1)/(2)x)`
