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

Answer:

Option B  13 units is correct.

Step-by-step 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:

$=\sqrt{(0-12)^2+(4-9)^2}\\=\sqrt{(-12)^2+(-5)^2}\\=\sqrt{144+25} \\=\sqrt{169} \\=13$

So, Option B 13 units is correct.

Answer 2

Answer:

B) 13 units

Step-by-step 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.