Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. his teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1. which product should tomas choose? a) (2x + 1)(2x2 + 2x – 1) b) (2x + 1)(4x3 + 2x – 1) c) (2x + 1)(4x2 – 2x + 1) d) (2x + 1)(2x2 – 2x + 1)

(a + b) * (a^2 - a*b + b^2)

= (2x + (1)) * ((2x)^2 - (2x)*(1) + (1)^2)

C) (2x + 1) * (4x^2 - 2x + 1)

we know that

we are given

now, we can plug this in formula

and we get

now, we can simplify it

and we get

so,

option-C.......Answer

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17