Describe the main achievement of each scientist:

copernicus:
galileo:
keplar:
bacon:
descartes:
newton:
ana de osorio:
andreas vesalius:

Copernicus:  The Heliocentric Theory. A model of the universe as revolving around the sun. Challenged the existing view of Earth as the center of the universe.

Galileo:  Galilean Invariance and discovery of Isochronism in pendulums.

Kepler:  Three Laws of Planetary Motion. These were used by Isaac Newton to develop his theory of universal gravitation.

Bacon:  Novum Organum, New Atlantis and The Advancement of Learning

Descartes: Invented the Cartesian coordinate system, developed analytic geometry and laid the foundation for the development of calculus.

Newton:  Discovery of Universal gravitation (gravity), and the developement of the three laws of motion which form the basic principles of modern physics.

Ana de Osorio:  Founder of the first feminist association, the Grupo Português de Estudos Feministas (Portuguese Group of Feminist Studies) in 1907

Andreas Vesalius: Founder of modern anatomy. His major work, "De humani corporis fabrica", is a milestone in scientific progress.

b. after i get up in the morning,

explanation:

after is a subordinating conjunction that introduces a time clause. time clauses are dependent clauses used to indicate when something happened.

the clause "after i get up in the morning" tells when the action in the main clause (drinking a cup of coffee) happens:

"after i get up in the morning, i drink a cup of coffee." it is the most logical choice of all.

answer

explanation

the given equation is

we can rewrite this as:

let

then the equation becomes:

the factors of 8 that sum up to -9 are {-1,-8}

we split the middle term with these factors to obtain,

we factor by grouping to obtain:

apply the zero product property to get:

but