Question

2.2 score: 2/11 answered: 2/11 question 3 0/1 pt 3 99 details find the distance between the origin and (12, 16). answer exactly.

Explanation:

Step1: Recall distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. The origin is $(0,0)$ and the given point is $(12,16)$.

Step2: Substitute values

Substitute $x_1 = 0,y_1 = 0,x_2=12,y_2 = 16$ into the formula: $d=\sqrt{(12 - 0)^2+(16 - 0)^2}=\sqrt{12^{2}+16^{2}}$.

Step3: Calculate squares

$12^{2}=144$ and $16^{2}=256$, so $d=\sqrt{144 + 256}$.

Step4: Add values inside square - root

$144+256 = 400$, so $d=\sqrt{400}$.

Step5: Find square - root

$\sqrt{400}=20$.

Answer:

20