25x^2+bx+36find two values of (b) that will make the equation a perfect square trinomial.

The value of b is 60.

Step-by-step explanation:

In order to find the middle term, we have to create a perfect square using the square roots of each end term. The square root of 25x^2 is 5x. The square root of 36 is 6. So we take those and distribute. Then we will get the middle term.

(5x + 6)^2

(5x + 6)(5x + 6)

25x^2 + 30x + 30x + 36

25x^2 + 60x + 36

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is