Mathematics, 04.03.2021 04:40, videogamer1192
Point B has coordinates (4,1). The x-coordinate of point A is -8. The distance between point A and point B is 13 units. What are the possible coordinates of point A?
Answers: 1
; 
and 
is unknown
; (4,1) i.e 
and 
![13= \sqrt{[(4-(-8)]^{2} + (1-y_{1})^{2} }\\13= \sqrt{[(4+8)]^{2} + (1-y_{1})^{2} }\\13= \sqrt{12^{2} + (1-y_{1})^{2} }\\13^{2} = 12^{2} + (1-y_{1})^{2} \\169 = 144 +(1-y_{1})^{2}\\169-144 = (1-y_{1})^{2}\\25 = 1 -2y_{1} +y_{1}^{2} \\y_{1}^{2} -2y_{1}+1-25 =0\\y_{1}^{2} -2y_{1}-24 =0\\y_{1}^{2} -6y_{1} + 4y_{1} -24 =0 \\y_{1}(y_{1}-6) +4(y_{1} -6) = 0\\(y_{1}+4)(y_{1}-6) =0\\(y_{1}+4)=0 or (y_{1}-6) =0](/tpl/images/1166/8583/dcab0.png)
or 
or 
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Point B has coordinates (4,1). The x-coordinate of point A is -8. The distance between point A an...
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