4(x-5)² + 12(x-5)

me out i am so confused

The simplified expression is:

= 4(x-5)(x-2)

Step-by-step explanation:

Given that:

=4(x-5)² + 12(x-5)

By simplifying we get

= 4(x^2 -10x + 25) + 12x - 60

= 4x^2 - 40x + 100 + 12x - 60

Adding like terms:

= 4x^2 -28x  + 40

=4(x^2-7x+10)

=4(x^2-2x-5x+10)

=4(x(x-2)-5(x-2))

By taking common we get:

= 4(x-5)(x-2)

This is the simplified expression.

I hope it will help you!

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

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.