When baking cookies, each cookie should be placed about 2 inches from one another to allow room to expand. if one cookie has a radius of 1 inch and a center at c(1, –1), find the center and equation of the cookie immediately to the right. (assume that each cookie is uniform with a radius of 1 inch and that 1 inch = 1 unit on a coordinate plane.)

As per the problem,

When baking cookies, each cookie should be placed about 2 inches from one another to allow room to expand.

Also

One cookie has a radius of 1 inch and a center at C(1, –1).

We are supposed to find the center and equation of the cookie immediately to the right.

First we will draw the circle to see its actual position and then we will find the center of the circle(Cookies) on immediate right

The cookies has a gap of 2 inches and radius of 1 inch. So the x-coordinate of the cookie(Circle) on immediate right will be

There will be no change change in the y-coordinate of the center of the circle (Cookie) because both the cookies are lying in the same line.

Hence the center of the circle (Cookie) on immediate right of the given cookie is (5,-1), and radius will be 1.

Hence the equation can be found by substituting the values in the standard form of circle

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

step-by-step explanation:

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