Matt wants to change the dimensions of a wooden storage box. He increases its length, x, by 6 feet and decreases its width, x, by 3 feet. The box’s height remains 3 feet. This expression represents the volume of the box:

3x2 + 9x – 54

Based on the information about the box, which statements are correct?

A. The new length of the box is (x + 6).
B. The new width of the box is (3 – x).
C. The new height of the box is (x + 3).
D. The new width of the box is (x + 6).
E. The new width of the box is (x – 3).
F. The new length of the box is 6x.

(There are multiple answers.)

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

total of apples - take away four

6-4 = 2

answer is 2 apples

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.