Use the graph to evaluate the function below for specific inputs and outputs.

y = G(x) = 6, when x = -4

y = G(x) = -2, when x = 3

Step-by-step explanation:

From the attached graph tracing the first point to the graph and then to x axis.

y = G(x) = 6

as shown on the attachment(by the thick line)

y = G(x) = 6, when x = -4

From the attached graph tracing the second point to the graph and then to x axis.

y = G(x) = -2

as shown on the attachment(by the thin line)

y = G(x) = -2, when x = 3

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

answer: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun