Agardener is planting two types of trees:

type a is 8 feet tall and grows at a rate of 18 inches per year.

type b is 9 feet tall and grows at a rate of 17 inches per year.

algebraically determine exactly how many years it will take for these trees to be the same height.

The answer to your question is: In 12 years both plants will have the same height.

Step-by-step explanation:

Type A  = 8 ft      18 in/y

Type B = 9 ft       17 in/y

Process

1.- Convert the height to inches

Type A = 96 in

Type B = 108 in

2.- Write equations of the height

Type A = 96 + 18x              x means the number of years

Type B = 108 + 17x

3.- As the height must be the same, equal both equations and solve for x

                     96 + 18x = 108 + 17x

                     18x - 17x = 108 - 96

                               x = 12

77

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .