Plz (02.01)line segment ef has a length of 5 units. it is translated 5 units to the right on a coordinate plane to obtain line segment e'f'. what is the length of e'f'? 5 units 6 units 10 units 25 units

5 units.

Step-by-step explanation:

Given : Line segment EF has a length of 5 units.    (1)

It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.

We know that a translation is a rigid transformation that produces images by moving it by some distance in a particular direction . It preserves the shape and the side-length of the figure.

Thus, The length of E'F'=EF  [∵E'F' is the image produced after translation of EF]

⇒ Length of E'F'= 5 units.    [From (1)]

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)