If 1 meter = 1.094 yards, use dimensional analysis to find 2 kilometers in miles. (hint: 1 mi = 1760 yd)

2 km = 1.24 miles.

Step-by-step explanation:

The question demands the conversion of units. It is given that:

1 meter = 1.094 yards.

Since 1000 meters = 1 km, multiply both sides with 1000:

1000 meters = 1094 yards.

Convert 1000 meters into 1 km:

1 km = 1094 yards.

Divide both sides by 1094 so that 1 yard is in terms of km:

1/1094 km = 1 yards.

It is given that:

1 mile = 1760 yards.

Divide both sides by 1760 so that 1 yard is in terms of miles:

1/1760 mi = 1 yards.

Since 1 yard = 1 yard, therefore:

1/1094 km = 1/1760 miles.

Cross multiplying:

1760 km = 1094 miles.

1 km = 1094/1760 miles.

1 km = 0.62159090909  miles.

To find 2 km in terms of miles, simply multiply 2 on both sides. Therefore:

2 km = 1094*2/1760 miles

2 km = 1.24318181818  miles.

Therefore, 2 km = 1.24 miles (correct to 2 decimal places)!!!

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2