What is y= -6(x+2)(x+6)

y=-6x^2-48x-72

Step-by-step explanation:

First we can FOIL.

I've attached an image that explains it.

F: x^2

O: 6x

I: 2x

L: 12

Our equation is now

y=-6(x^2+6x+2x+12)

Combine like terms.

y=-6(x^2+8x+12)

Distribute.

y=-6x^2-48x-72

people went from manufacturing one object at a time by hand to manufacturing many objects in factories

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.