In a coordinate plane, triangle ABC has vertices A (1, 1), B(1,5), and C (5, 1). Triangle ABC is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in triangle A'B'C'.
What is the length, in units, of A'B'?
A. 2
B. 4
C. 6
D. 8

answer:   14

step-by-step explanation:          

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at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct