Question

Three identical coins, labeled A, B, and C in the figure, lie on three corners of a square 10.0 cm on a side. Determine the x coordinate of each coin, xA, xB, and xC. (See figure.)

Answer 1

The $x$ coordinates of the point A is $\boxed{\bf 0}$.

The $x$ coordinates of the point B is $\boxed{\bf 0}$.

The $x$ coordinates of the point C is $\boxed{\bf 10}$.

Further explanation:

Given:

The coin labeled as A lies on the $y$-axis.

The coin labeled as B lies on the origin.

The coin labeled as C lies on the $x$-axis.

The distance of the point B and C is $10\text{ cm}$.

Concept used:

The point which lies on the $x$-axis, the value of its $y$-coordinate is $0$.

The point which lies on the $y$-axis, their $x$-coordinate is $0$.

The coordinate of the origin is $(0,0)$.

Calculation:

The coin labeled as A lies on the $y$-axis therefore the $x$-coordinate of the point is $0$.

The coin labeled as B lies on the origin therefore the $x$-coordinate of the point is $0$.

The distance from point B to the point C is $10\text{ cm}$ and the coin labeled as C lies on the x axis it means that the $x$-coordinate of the point is $10$.  

Therefore, the $x$ coordinate of the point A is $0$.

The $x$ coordinate of the point B is $0$.

The $x$ coordinate of the point C is $10$.

Learn more:

1. Coordinate of the point : brainly.com/question/1286775

2. Equation: brainly.com/question/1473992

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: Coordinate geometry, x-axis, y-axis, x-coordinate, y-coordinate, coin, square, three corners, three identical coins.

Answer 2

From the given figure we can see that the coin B lies at the origin with coordinates (0,0).

The coins A, B and C lie on the corners of a square. The length of all sides in a square are equal. The distance between B and C form a side of a square. So distance from B to C is 10 cm. Likewise, distance from B to A is also 10 cm.

B is located at point (0,0) and C is 10 units right of B, so coordinates of C will be (10,0).

A is located 10 units above B, so coordinates of A will be (0, 10). 

Therefore, the x-coordinates of A, B and C are 0,0 and 10 respectively.