Question

the coordinates of point j are (5, 3). the coordinates of point c are determine the length of segment jc. enter the coordinates of the two given points and then calculate the them. coordinates (x1, y1) of point j: 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 coordinates

Let $(x_1,y_1)=(5,3)$ for point J. Since $x_2 - x_1=7$ and $y_2 - y_1 = 0$, if $x_1 = 5$, then $x_2=x_1 + 7=12$ and if $y_1=3$, then $y_2=y_1+0 = 3$. So point C is $(12,3)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substituting $x_1 = 5,y_1 = 3,x_2=12,y_2 = 3$ into the formula, we get $d=\sqrt{(12 - 5)^2+(3 - 3)^2}=\sqrt{7^2+0^2}$.

Step3: Calculate distance

$\sqrt{7^2+0^2}=\sqrt{49+0}=\sqrt{49}=7$.

Answer:

7