In the diagram, the circle will be dilated by a scale factor of 3 about the origin. The points C, A, and B map to C, A', and B'after the dilation. What is the length of C'B? Use the distance formula to help you decide: d = 16x2 - xx) +(y2 - Yo)?

A = (8.15)

B = (12, 13)

C = (8.10)

A.
5 units
B.
15 units
C. 21 units
D. 24 units
E. 45 units

length of C'B' = 15units (B)

Step-by-step explanation:

Original image is ∆ABC

A = (8,15)

B = (12, 13)

C = (8,10)

Scale factor = 3

Since the circle would be dilated by a scale factor of 3 about the origin, Do(x,y) →3(x,y)

Coordinates of ∆A'B'C'

A' = 3(8, 15) = (24, 45)

B' = 3(12, 13) = (36, 39)

C' = 3(8, 10) = (24, 30)

The distance formula = √(x2 - x1)² + (y2-y1)²

Where x2 = x subscript 2, x1 = x subscript 1; y2 = y subscript 2, y1 = y subscript 1

Length C'B' = Distance between B' and C'

See attachment for details

From the solution, length of C'B' = 15units (B)

the answer is true.

step-by-step explanation:

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.