The shortest path from Tom’s house to his school goes through a small pond. To avoid the pond, Tom should walk 14 meters south and 20 meters east. If Tom could walk through the pond, what would the distance from his house to the school be? A. 6 m B. 20 m C.204 D. 596

B 20 m

answer is 24.4 so≈ 24 m

Step-by-step explanation:

use Pythagorean theorem  a² + b² = c²

14² + 20² =196 + 400 =596  c² = 596

c = 24.4

24 rounded to the nearest 10 is 20

B. 20m

Step-by-step explanation:

14 + 20 = 34

14^2 + 20^2 = c^2

196 + 400 = 596

Sqrt of 596 = 24.41

24.41 --> 24

There's no 24 answer choice but the closest estimate can be 20m.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .