4 years ago

How to do 43 ? Thank you!

1 answer:

4 0

$2 {x}^{3} - 5 {x}^{2} + x + 2 = 0$
$2 {x}^{3} - 4 {x}^{2} - {x}^{2} + 2x - x + 2 = 0$
$2 {x}^{2} (x - 2) - x(x - 2) - (x - 2) = 0$
$(x - 2)(2 {x}^{2} - x - 1) = 0$
$(x - 2)(2 {x}^{2} - 2x + x - 1) = 0$
$(x - 2)(x - 1)(2x + 1) = 0$
$x = 2$
$x = 1$
$x = - 0.5$

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A cruise line ship left Port A and traveled 90 miles due west and then 400 miles due north. At this point, the ship docked at Po

GrogVix [38]

Answer:

410 Miles

Step-by-step explanation:

Please refer to the photo attached. (Apologies for the legitimately terrible drawing)

The Shortest Distance between any 2 points is the distance thats connects the 2 points directly.

In this case, we can use Pythgoras's Theorem to find AB which is the shortest distance between A and B.

By Pythagoras's Theorem,

${c}^{2} = {a}^{2} + {b}^{2} \\ {ab}^{2} = {ac}^{2} + {cb}^{2} \\ {ab}^{2} = {90}^{2} + {400}^{2} \\ab = \sqrt{ {90}^{2} + {400}^{2} } \\ = 410 \: miles$