Line cd is perpendicular to line ab and passes through point c(5, 12). if the coordinates of a and b are (-10, -3) and (7, 14), respectively, the x-intercept of cd is__ . the point lies on cd. 1. a) (12,0) b) (15,0) c) (17,0) d) (19,0) 2. a) (-5,24) b) (-2,19) c) (7,-10) d) (8,11)

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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step-by-step explanation:

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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.

5+2x=a

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