Here are the questions:
an expression is shown below:

2x3y + 8xy − 4x2y − 16y

part a: rewrite the expression so that the gcf is factored completely. (4 points)

part b: rewrite the expression completely factored. show the steps of your work. (6 points)

now, here's my problem:

my
part a: ↓
gcf of coefficients: ↓
coefficients: 2, 8, -4, -16
factors of 2: 1, 2
factors of 8: 1, 2, 4, 8
factors of -4: -1, 4, 1, -4, -2, 2
factors of -16: -16, 1, 16, -1, -4, 4, -2, 8, 2, -8
common factors: 1, 2
gcf: 2
gcf of variables: ↓
variables: x^3y, xy, x^2y, y,
factors of x^3y: x^3, y, x, 3
factors of xy: x, y
factors of x^2y: x^2, y, x, 2
factors of y: y
common factors: ? ?

don't i need a gcf for both x and y? is it prime, or is it only y as the gcf of the variables? me !

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

first one because it can't have a fraction in it

step-by-step explanation:

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.