The distance is 5.83 units. And the mid-point is: [tex](\frac{55}{2},\frac{29}{2})[/tex]
Step-by-step explanation:
Given
P(25,13)=(x1,y1)
Q(30,16)=(x2,y2)
Distance:
The distance formula will be used to calculate the distance between given points.
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting the values:
[tex]d(P,Q)=\sqrt{30-25)^2+(16-13)^2}\\=\sqrt{(5)^2+(9)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.83\ units[/tex]
Mid-point:
The formula for mid-point is:
[tex](x_M,y_M)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(x_M,y_M)=(\frac{25+30}{2},\frac{13+16}{2})\\(x_M,y_M)=(\frac{55}{2},\frac{29}{2})[/tex]
The distance is 5.83 units. And the mid-point is: [tex](\frac{55}{2},\frac{29}{2})[/tex]
Keywords: Distance, Mid-point
Learn more about distance between two points at:
- brainly.com/question/10901103
- brainly.com/question/10932946
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