Question

You start a search for a buried object by marking the center of a field as (0,0), with coordinates giving distances in yards. coordinates to the north or east are positive, and coordinates to the south and west are negative. you find nothing at (-10,6), so you try a likely looking spot 3 yards to the east and 12 yards to the south of the first spot. What are the coordinates of the second spot?

Answer 1

solve the equation. 3x + 6 = 24

Answer 2

solve the equation. x/4 + 1 = -6

Answer 3

The coordinates of the second spot are (−10+3,6−12), which simplify to (-7,-6).

Answer 4

To solve the equation 3x + 6 = 24, we need to isolate the variable x.

First, we can subtract 6 from both sides of the equation to get:

3x = 18

Then, we can divide both sides by 3 to get:

x = 6

Therefore, the solution to the equation 3x + 6 = 24 is x = 6.

Answer 5

To solve the equation x/4 + 1 = -6, we can start by isolating the variable x.

First, we can subtract 1 from both sides of the equation:

x/4 = -7

Next, we can multiply both sides by 4 to get rid of the fraction:

x = -28

Therefore, the solution to the equation x/4 + 1 = -6 is x = -28.