Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the distance between (0,0) and (3,4). √7 a cougar did not maul the…

Question

find the distance between (0,0) and (3,4). √7 a cougar did not maul the victim. 25 the victim’s toe was not stubbed. 7 miss beta was reorganizing the bookcase in the library. 5 professor delta was baking cookies in the kitchen.

Explanation:

Step1: Recall distance formula

The distance \( d \) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \( d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \).

Step2: Substitute the points \((0,0)\) and \((3,4)\)

Here, \( x_1 = 0,y_1 = 0,x_2=3,y_2 = 4 \). Substituting into the formula, we get \( d=\sqrt{(3 - 0)^2+(4 - 0)^2}=\sqrt{3^2 + 4^2} \).

Step3: Calculate the values inside the square root

\( 3^2=9 \) and \( 4^2 = 16 \), so \( 3^2+4^2=9 + 16=25 \). Then \( d=\sqrt{25} \).

Step4: Simplify the square root

\( \sqrt{25}=5 \).

Answer:

5 (and the corresponding statement is "Professor Delta was baking cookies in the kitchen.")