1. Given rhombus RSTV, where the perimeter is 20cm and the area is 25cm². If rhombus RSTV is dilated by a scale factor of 3 about a given center, EXPLAIN YOUR REASONING AND SHOW YOUR WORK

a) What is the perimeter, in centimeters, of the image of RSTV after the dilation?

b) What is the area, in centimeter squares, of the image RSTV after the dilation?

2. Given rectangle ABCD where the perimeter is 12cm and the area is 36cm2. If rectangle RSTV is dilated by a scale factor of 4 about a given center. EXPLAIN YOUR REASONING AND SHOW YOUR WORK

a) What is the perimeter, in centimeters, of the image of RSTV after the dilation?

b) What is the area, in centimeter squares, of the image RSTV after the dilation.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

step-by-step explanation:

; fx

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b