Sasha and alyssa are walking around a new town and are super hungry. they spot an in n out sign at a bearing of s 5 ∘ e s5∘e from their current location. there are two streets from here, one with a bearing of s 5 ∘ w s5∘w and another with a bearing of s 45 ∘ e s45∘e. sasha believes the s 5 ∘ w s5∘w route will be faster so she starts down that path, while alyssa thinks otherwise and uses the other street. after walking 750 750 feet each, they both come to a corner that has a road that will take them directly to the restaurant. sasha's street has a bearing of s 40 ∘ e s40∘e and alyssa's street has a bearing of s 10 ∘ w s10∘w. how much further do each of them have to walk (round to the nearest foot)? if they walk the same speed, who will get to order their burger first?

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

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