35 points! will mark brainliest!

drag the tiles to the boxes to form correct pairs. not all tiles will be used.

match the perfect square trinomials with their factors.

Factor the Polynomials given to find the correct factors.

See attached picture for the answers.

Step-by-step explanation:

1). 4a² + 4a + 1

= (2a)² + 2(2a) + 1² [Since x² + y² + 2xy = (x + y)(x + y)]

= (2a + 1)²

= (2a + 1)(2a + 1)

2). 4a² - 4a + 1

= (2a)² - 2(2a) + 1² [ Since x² - 2xy + y² = (x - y)²]

= (2a - 1)(2a - 1)

3). 4 - 4a + a²

= a² - 4a + 4 [ since x² - 2x + y² = (x - y)²]

= (a - 2)²

= (a - 2)(a - 2) ≈ (2 - a)(2 - a)

4). 4 + 4a + a² [Since x² + y² + 2xy = (x + y)(x + y)]

= (a + 2)²

= (a + 2)(a +2)

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.