(MULTIPLE CHOICE QUESTION PLEASE HELP IM IN A RUSH RN THANK YOU) Can a cube be cut with a plane to produce the following figures? If the cut is possible,

show a sketch of and explain each cut? If it is not possible, provide a mathematical

justification as to why.

(a) An isosceles triangle

(b) An equilateral triangle

(c) A square

(d) A rhombus (not a square)

(e) A rectangle

(f) A regular pentagon

(g) A regular hexagon

(h) Any polygon having more than six sides

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72