In Triangle ABC, the length of AB is 3 cm, and the length of BC is 7 cm. Triangle ABC will be dilated with the center at the origin to create Triangle A'B'C'. If the image of Point A(-3,5) after the dilation is A' (-12, 20),
what is the length of B'C'?
A.12 cm
B. 16 cm
C.22 cm
D.28 cm

28 cm

Step-by-step explanation:

dilation means to increase or decrease the shape so find the amount it was dilated by dividing -12 by -3 or 20/5 u should get 4 then multiply 7 by 4.

i dont know men

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true