Anna lives 2.5 miles to the east of her school, and ben lives 2 miles to the west of the same school. anna draws a map with a number line connecting her house to ben’s house. on the number line, the school is at 0 and her house is at the point +2.5. on the map, ben’s house is at the point .

Ben's house is at the point -2.

Step-by-step explanation:

Since his house is 2 miles in the opposite direction, he would have to be -2.

Ben's house is at point -2.

Step-by-step explanation:

Anna lives 2.5 miles to the east.

And Ben lives 2 miles to the west.

Let 1 mile = 1 unit in x axis.

Where west is the negative axis and east is the positive axis. Also their school located at origin .i.e at x=0

From the attached figure we can see that Ben's house is at point -2.

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step-by-step explanation:

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.