Respuesta :
Answer:
Hence, the distance between (7,8) and (-8,0) is:
17
Step-by-step explanation: (a,b)=(7,8) and (c,d)=(-8,0)
Hope this helps!!!!!!
The distance between the points (7, 8) and (–8, 0) = 17 units
Distance between two points
The distance between two points is given by the formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]
For the line passing through the points (7, 8) and (–8, 0)
Substitute [tex]x_1=7, y_1=8, x_2=-8, y_2=0[/tex] into the equation above:
[tex]D=\sqrt{(-8-7)^2+(0-8)^2} [/tex]
This will be further simplified as shown below:
[tex]D=\sqrt{(-15)^2+(-8)^2} \\\\ D=\sqrt{225+64} \\\\ D=\sqrt{289} \\\\ D=17[/tex]
The distance between the points (7, 8) and (–8, 0) = 17 units
Learn more on distance between two points here: https://brainly.com/question/7243416
