## anonymous one year ago the midpoints of UV are (5,-11). The coordinates of one endpoint are U(3,5). find the coordinates of endpoint V. I don't understand this at all :?

1. jdoe0001

have you covered the midpoint formula yet?

2. anonymous

yes, |dw:1442358085631:dw|

3. anonymous

(5, -11)

4. jdoe0001

right so... we know the MidPoint is (5,-11) the whole segment is UV we know what U is, is (3,5) we dunno what V is so one sec

5. anonymous

|dw:1442358296247:dw|

6. anonymous

|dw:1442358320009:dw|

7. anonymous

|dw:1442358350329:dw|

8. anonymous

|dw:1442358362868:dw|

9. anonymous

|dw:1442358425571:dw|

10. anonymous

|dw:1442358469597:dw|

11. anonymous

|dw:1442358487776:dw|

12. jdoe0001

$$\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &U({\color{red}{ 3}}\quad ,&{\color{blue}{ 5}})\quad % (c,d) &V({\color{red}{ V_x}}\quad ,&{\color{blue}{ V_y}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{\color{red}{ x_2}} + {\color{red}{ x_1}}}{2}\quad ,\quad \cfrac{{\color{blue}{ y_2}} + {\color{blue}{ y_1}}}{2} \right) \\ \quad \\ \left(\cfrac{{\color{red}{ V_x}} + {\color{red}{ 3}}}{2}\quad ,\quad \cfrac{{\color{blue}{ V_y}} + {\color{blue}{ 5}}}{2} \right)=(5,-11)\qquad \textit{that means then} \\ \quad \\ \cfrac{{\color{red}{ V_x}} + {\color{red}{ 3}}}{2}=5\qquad and\qquad \cfrac{{\color{blue}{ V_y}} + {\color{blue}{ 5}}}{2}=-11 \\ \quad \\ solve\ for\ V_x\ and\ V_y\ then$$