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Both of the points P( 17, − 20) and Q( 25, t) are in the xy- : Multiple-choice Questions — Select One or More Answer Choices

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Re: Both of the points P( 17, − 20) and Q( 25, t) are in the xy- [#permalink]
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Re: Both of the points P( 17, 20) and Q( 25, t) are in the xy- [#permalink]
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We can use mathematical formulas known to solve the question.
A. Slope = rise/run = dy/dx=> x1=17, y1=-20, x2=25 and y2=t , we use the formula for slope = y2-y1/x2-x1 and we can get a unique answer since we have only 1 variable and 1 equation involved
B. Distance formula between 2 points is given by =√((x2 – x1)² + (y2 – y1)²) => 10 = √((25 – 17)² + (t + 20)²)
=> 10 = √((8)² + (t + 20)²) => t² +40t + 364 = 0 => (t+14)(t+26) = 0 , thus t = -14 or -26 , so we cannot say confidently that t>−18 or not .
C. Mid point formula : X= x1+x2/2 ; Y= y1+y2/2 , so for our case t= (3t+34 -20)/2 => t=-14

Thus answer A, C
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Re: Both of the points P( 17, 20) and Q( 25, t) are in the xy- [#permalink]
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