The vertices of figure bcde have coordinates b(4, 4) , c(−4, 4), d(−4, −4) , and e(4, −4) . the vertices of figure b'c'd'e' have coordinates b'(2, 6) , c′(−6, 6), d′(−6, −2) , and e′(2, −2) .

which transformation of figure bcde produces figure b'c'd'e' ?

a translation 2 units left and 2 units up

a translation 2 units right and 2 units down

a reflection across the x-axis

a reflection across the y-axis

1. a translation 2 units left and 2 units up

Step-by-step explanation:

We have the figure BCDE with co-ordinates,

B = (4,4), C = (-4,4), D = (-4,-4) and E = (4,-4).

It is given that, the figure BCDE is transformed to make new figure B'C'D'E' with co-ordinates,

B' = (2,6), C' = (-6,6), D' = (-6,-2) and E' = (2,-2).

Thus, we see that,

B = (4,4) = (4,4) + (-2,2) = (2,6)

C = (-4,4) = (-4,4) + (-2,2) = (-6,6)

D = (-4,-4) = (-4,-4) + (-2,2) = (-6,-2)

E = (4,-4) = (4,-4) + (-2,2) = (2,-2)

So, we get that the co-ordinates are changing by the addition of the co-ordinate (-2,2).

This means that the function is translated 2 units to the left and 2 units upwards.

Hence, transformation applied is 'a translation of 2 units to the left and 2 units upward'.

answer: its the third option.

step-by-step explanation:

i just took the test.

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.