Find the distance between the points (-9,0) and (2,5)
A. 12.08
B. 14.6
C. 8.6
D. 74

A. 12.08
9 + 2 = 11
(So, 11 across on our x - axis from - 9 to 2)
Then, up 5 from 2 on our x-axis
Join the 2 dots of coordinates, & creating a triangle. Base 11, height 5
Use Pythagoras Theorem, to find that distance between the coordinates (the hypotenuse)
Root 11^2 + 5^2 = 12.083056...
(root means square root)
Hope this helps!
Answer:
Hello! The answer to this question is A. 12.08.
Step-by-step explanation:
The distance formula is:
[tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2 }[/tex]
With the distance formula, we can now substitute the values from the points provided:
[tex]\sqrt{(2 - (-9))^2 + (5 - 0)^2} \\= \sqrt{11^2 + 5^2\\\\\\\\= \sqrt{121 + 25} \\=\sqrt{146} \\= 12.08[/tex]
The distance between the points is 12.08.