Question

The distance between the points (12,9) and (0,4) is A) 14 units B) 13 units C) 15 units D) 16 units

Answer 1

B) 13 units

Explanation:

1) Use the equation for solving the distance between points:

√(x2 - x1)²+(y2-y1)²

2) In this case, we would plug them into the equation:

√(12-0)²+(9-4)²

3) Now, we simplify:

√(12)²+(5)²

4) We simplify even further:

√144+25

5) We add the two:

√169

6) Take the square root of √169:

13.

Answer 2

Option B 13 units is correct.

Explanation:

The formula used to find distance between 2 points is:

`d(P1,P2)=\sqrt{(x_(2) -x_(1))^2 + (y_(2) -y_(1))^2 }`

x₁ = 12 x₂ = 0 y₁= 9 and y₂=4

Putting values in the formula:

`=√((0-12)^2+(4-9)^2)\\=√((-12)^2+(-5)^2)\\=√(144+25) \\=√(169) \\=13`

So, Option B 13 units is correct.