Answer:
D. 5 units
Step-by-step explanation:
Coordinates of A = (7,9) = (x1,y1)
Coordinates of B = (3,12) = (x2,y2)
Length of line segment AB = [tex]\[\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}\][/tex]
[tex]\[= \sqrt{(3-7)^{2}+(12-9)^{2}}\][/tex]
[tex]\[= \sqrt{(-4)^{2}+(3)^{2}}\][/tex]
[tex]\[= \sqrt{16+9}\][/tex]
[tex]\[= \sqrt{25}\][/tex]
[tex]\[= 5\][/tex]
Hence the correct answer is D. 5 units
Answer:
5 Units
Step-by-step explanation:
From A(7,9) to B(3,12) you rise 4 from 3 to 7
From A(7,9) to B(3,12) you run 3 from 9 to 12
Now we have 2 sides of a triangle, we need the hypotenuse which is AB. All we have to do is insert our numbers into the Pythagorean Thereom[tex]a^{2}+ b^{2} =c^{2} \\3^{2} +4^{2} =c^{2} \\9+16=c^{2} \\\sqrt 25=\sqrt c^{2} \\5=c[/tex]
