A car manufacturer builds trucks and cars both in red, blue, and green colors. Let B represent the set of all red vehicles produced by the manufacturer and let C
represent the set of all trucks produced by the manufacturer. If all of the vehicles
below are produced by the manufacturer, which could be in the set (BNC)? Explain
your reasoning. You can include a venn diagram via video note to support your
reasoning.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

answer for #1 is c

answer for #2 is d

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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.