Achess player moves a knight from the location (3,2) to (5,1) on a chessboard. if the bottom-left squared is labeled (1, 1), the translation made is? if the player moves the knight from (5, 1) to (6, 3), the translation made is?

1. A chess player moves a knight from the location (3,2) to (5,1) on a chessboard.This means that

(3,2)→(5,1).

the translation rule is

(x,y)→(x+2,y-1) or in words 2 units right and 1 unit down.

2. If the player moves the knight from (5, 1) to (6, 3), then the translation is

(5,1)→(6,3)

and the rule is

(x,y)→(x+1,y+2).

This is translation 1 unit right and 2 units up.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

answer: 819.89 miles across america

step-by-step explanation: