Enter the correct value so that each expression is a perfect-square trinomial.
x2 – 10x +

A = 25 so that the expression is a perfect-square trinomial.

Step-by-step explanation:

  Given : expression  

We have to find the value of A so that  each expression is a perfect-square trinomial.

perfect-square is the term in the form of

Since , we know the algebraic identity,

Given expression is of the form of

Thus, comparing , we get,

a= x ,

-2ab = -10x

⇒ b = 5

Thus adding b² term to get perfect-square trinomial.

b² = 25

Thus, the perfect-square trinomial becomes

So, A = 25

ab: 2 n83b8eb7ebi. 8e yen in

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.