Education

________________________________, Note: Please answer my question correctly, nonsense answer will be reported. ________________________________ , Lesson: Distance Formula ________________________________

Written by Winona · 13 sec read >


________________________________


Note: Please answer my question correctly, nonsense answer will be reported. ________________________________

Lesson: Distance Formula ________________________________​

e50b46062c86a1309b9780069ce9ecfb

✒️DISTANCE

••••••••••••••••••••••••••••••••••••••••••••••••••

 \largenderline{\mathbb{ANSWER}:}

 \qquad \LARGE \quad \rm x = 4

••••••••••••••••••••••••••••••••••••••••••••••••••

 \largenderline{\mathbb{SOLUTION}:}

Use the distance formula to determine the value of x as x_2 with the given distance and points.

 \begin{align} & \bold{Formula:} \\ & \quad \boxed{\rm d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2\,}} \end{align}

  •  10 = \sqrt{\bigx - (\text-2)\big^2 + (3 - 11)^2\,}
  •  10 = \sqrt{(x + 2)^2 + (\text-8)^2\,}
  •  10 = \sqrt{x^2 + 4x + 4 + 64\,}
  •  10 = \sqrt{x^2 + 4x + 68\,}
  •  10^2 = \big(\sqrt{x^2 + 4x + 68\,}\,\big)^2
  •  100 = x^2 + 4x + 68\
  •  x^2 + 4x + 68 - 100 = 0
  •  x^2 + 4x - 32 = 0

Solve the quadratic equation by factoring.

  •  (x + 8)(x - 4) = 0
  •  x + 8 = 0 \quad;\quad x - 4 = 0
  •  x = \text-8 \quad;\quad x = 4

Thus, we have two solutions for x. But since it lies on the first quadrant, x must be positive. Therefore, the value of x is 4

••••••••••••••••••••••••••••••••••••••••••••••••••

(ノ^_^)ノ


Patulong po pwede 3 – 5 sentences

Winona in Education
  ·   5 sec read

Leave a Reply

Your email address will not be published.