On a map the scale is shown as 0.5 inches equaling 15 miles. If two towns
are 2.25 inches apart on the map, what is the distance in miles between
the towns?

The distance in miles between  the towns is 67.5.

Step-by-step explanation:

Given:

On a map the scale is shown as 0.5 inches equaling 15 miles.

If the distance are 2.25 inches apart on the map between the towns .

Now, to find the distance in miles between  the towns.

The distance on the map between the towns = 2.25 inches.

Let the actual distance between the two towns be

The scale of the map is 0.5 inches equaling 15 miles.

If, 0.5 is equivalent to 15 miles.

Thus, 2.25 is equivalent to

Now, to solve using by cross multiplication method:

By cross multiplying we get:

Dividing both sides by 0.5 we get:

The actual distance between the two towns = 67.5 miles.

Therefore, the distance in miles between  the towns is 67.5.

step-by-step explanation:

jjj

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.