Answer: B
Explanation:
rate x time
Chris: 40 x t = 40t
Amy: 60 x t - 2 = 60(t - 2)
Use the distance formula:
[tex]d = \sqrt{(Chris)^{2}+(Amy)^{2}}[/tex]
[tex]300 = \sqrt{(40t)^{2}+(60(t - 2))^{2}}[/tex]
*****************************************************************************
Answer: B
Explanation:
x² - 8x + 19
a=1 b=-8 c=19
Use the Quadratic formula to find the solutions for x:
[tex]x = \frac{-b +/- \sqrt{b^{2}-4ac}}{2a}[/tex]
[tex]= \frac{-(-8) +/- \sqrt{(-8)^{2}-4(1)(19)}}{2(1)}[/tex]
[tex]= \frac{8+/- \sqrt{64-76}}{2}[/tex]
[tex]= \frac{8+/- \sqrt{-12}}{2}[/tex]
[tex]= \frac{8+/- 2i\sqrt{3}}{2}[/tex]
[tex]= \frac{2(4+/- i\sqrt{3})}{2}[/tex]
= 4 ± i√3
Solutions are: Factors are:
x = 4 + i√3 x - (4 + i√3) = 0
x = 4 - i√3 x - (4 - i√3) = 0
