Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the coordinates of point j are (5, 3). the coordinat determine the leng…

Question

the coordinates of point j are (5, 3). the coordinat determine the length of segment jc. enter the coordinates of the two given points and them. coordinates (x1, y1) of point j: i coordinates (x2, y2) of point c: (?,?) d = \sqrt{(x2 - x1)^2+(y2 - y1)^2} d = \sqrt{(7)^2+(0)^2} d = 7 the length of segment jc is 7 meters

Explanation:

Step1: Identify point J coordinates

$x_1 = 5, y_1=3$

Step2: Assume point C coordinates

Since $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(7)^2+(0)^2}$, we can infer $x_2 - x_1=7$ and $y_2 - y_1 = 0$. So $x_2=5 + 7=12$ and $y_2=3+0 = 3$. But we can also just use the distance - formula result directly.

Step3: Calculate distance

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}=\sqrt{(7)^2+(0)^2}=\sqrt{49}=7$

Answer:

7