Study the products shown. is there a pattern? (x + 3)2 = x2 + 6x + 9 (x + 4)2 = x2 + 8x + 16 (x + 5)2 = x2 + 10x + 25 (x + 6)2 = x2 + 12x + 36 each product is in the form ax2 + bx + c. which of the following describes the relationship between b and c? c is 1.5 times that of b. c is double b. c is the square of half of b. c is the square of b.

The correct option is 3. c is the square of half of b.

Step-by-step explanation:

The given equations are

These are the perfect square. According to this pattern,

          .... (1)

Each product is in the form

        .... (2)

From (1) and (2), we get

It means c is the square of half of b.

Therefore the correct option is 3.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i