Question

Cual es la razón entre los segmentos CD y AB ayudenme y dios los bendice

Answer 1

Respuesta:

$Here, as per the provided question we have to find the value of y for which the distance between the points A(3,-1) and B(11,y) is 10 units –</p><p></p><p>━━━━━━━━━━━━━━━━━━━━━━━━━</p><p></p><p>CORRECT QUESTION :</p><p></p><p>Find the values of y for which the distance between the points A(3,-1) and B(11,y) is 10 units.</p><p></p><p>GIVEN :</p><p></p><p>The value provided for finding the distance is A(3,-1) and B(11,y) is 10 units.</p><p></p><p>TO FIND :</p><p></p><p>The value of y, when the information of distance is provided = ?</p><p></p><p>STEP -BY-STEP EXPLAINATION :</p><p></p><p>Now, as per the provided information we will find the value of y when A(3,-1) and B(11,y) is 10 units.</p><p></p><p>⟹ \sqrt{(3 - 11)^{2} } + ( -1 - 4) ^{2} = 10⟹(3−11)2+(−1−4)2=10</p><p></p><p>[ Now, here substituting the values ]</p><p></p><p>⟹ \sqrt{( { - 8})^{2} } + {( { - 1})^{2}} - 2 \: ( - 1) \: ( - y) + {y}^{2} = 10⟹(−8)2+(−1)2−2(−1)(−y)+y2=10</p><p></p><p>⟹ \: \sqrt{64 + 1 - 2y + {y}^{2} } = 10⟹64+1−2y+y2=10</p><p></p><p>Now, here we have got √64+1-2y+y² = 10. So, we will remove your the sign of square root :</p><p></p><p>⟹ \: {y}^{2} - 2y + 65 = 100⟹y2−2y+65=100</p><p></p><p>⟹ \: {y}^{2} - 2y - 35 = 0⟹y2−2y−35=0</p><p></p><p>⟹ \: {y}^{2} - 7y + 5y - 35 = 0⟹y2−7y+5y−35=0</p><p></p><p>⟹ \: y \: (4 - 7) + 5(4 - 7) = 0⟹y(4−7)+5(4−7)=0</p><p></p><p>⟹ \: (y - 7) \: (y + 5) = 0⟹(y−7)(y+5)=0</p><p></p><p>Here, there are the two conditions of bringing the answer (value) as per the provided question –</p><p></p><p>(y-7) and (y+5) that is considered as –</p><p></p><p>ㅤㅤㅤㅤㅤ y = 7 and y = -5</p><p></p><p>Therefore, both can be written here y = 7 is also an appropriate answer for this question and</p><p></p><p>y = -5 is also considered as an appropriate answer for this question.</p><p></p><p>So, Now the value of y for which is the distance between the points A(3,-1) and B(11,y) is 10 units = y = 7 or y = -5.</p><p></p><p>━━━━━━━━━━━━━━━━━━━━━━━</p><p></p><p>$