Respuesta :
Answer:
a. 5
b. 5
c. 6√2
d. √34
e. 43 (appx.)
Step-by-step explanation:
The distance between two points on the coordinate plane having coordinate (x1, y1) and (x2, y2) is given by [tex]\sqrt{(x1-x2)^{2}+(y1-y2)^{2}}[/tex] .... (1)
a. Hence, the distance between points A(2,3) and point B(6,6) is [tex]\sqrt{(2-6)^{2}+(3-6)^{2}}=5[/tex] units. {Using equation (1)}
b. Coordinates of A and B in the Cartesian coordinate plane are (2,3) and (6,6) respectively.
Hence, the distance between A and B is [tex]\sqrt{(2-6)^{2}+(3-6)^{2}}=5[/tex] units.
c. Coordinates of A and B in the Cartesian coordinate plane are (-1,5) and (5,11) respectively.
Hence, the distance between A and B is [tex]\sqrt{(-1-5)^{2}+(5-11)^{2}}=6\sqrt{2}[/tex] units.
d. Coordinates of A and B in the Cartesian coordinate plane are (1,-2) and (-2,3) respectively.
Hence, the distance between A and B is [tex]\sqrt{(1+2)^{2}+(-2-3)^{2}}=(34)^{\frac{1}{2}}[/tex] units.
e. Coordinates of A and B in the Cartesian coordinate plane are (12,-12) and (-23,13) respectively.
Hence, the distance between A and B is [tex]\sqrt{(12+23)^{2}+(-12-13)^{2}}=43[/tex] units. (Approximate) (Answer)
