Simplify and then evaluate the equation
when a = 3.
4a2 + 6a - 3(a + 4) + 15 = [?]

48

Step-by-step explanation:

Given

4a² + 6a - 3(a + 4) + 15 ← distribute parenthesis

= 4a² + 6a - 3a - 12 + 15 ← collect like terms

= 4a² + 3a + 3 ← substitute a = 3 into the expression

= 4(3)² + 3(3)  + 3

= 4(9) + 9 + 3

= 36 + 9 + 3

= 48

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.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743