Q2. A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?

The players run 150m

Step-by-step explanation:

If we think of the diagonal that goes from one corner to the other in a rectangle, this could be divided into 2 right triangles

To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras

h = hypotenuse

a = leg 1 = 90m

b = leg 2 = 120m

h² = a² + b²

we replace the known values

h² = (90m)² + (120m)²

h² = 8100m² + 14400m²

h² = 22500m²

h = √(22500m²)

h = 150m

The players run 150m

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.