Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams. Sara:

Planet Mass (in kilograms)
Jupiter 1.989 · 1027
Saturn 5.685 · 1026
Neptune 1.024 · 1026
Uranus 8.681 · 1025
Earth 5.974 · 1024
Venus 4.869 · 1024
Mars 6.419 · 1023
Mercury 3.302 · 1023
Pluto 1.31 · 1022
Sam:

Planet Mass (in milligrams)
Jupiter 1.989 · 1033
Saturn 5.685 · 1032
Neptune 1.024 · 1032
Uranus 8.681 · 1031
Earth 5.974 · 1030
Venus 4.869 · 1030
Mars 6.419 · 1029
Mercury 3.302 · 1029
Pluto 1.31 · 1028
Approximate how many times greater Saturn's mass is than Mercury's.

200,000
2,000,000
2,000

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

i think it would be 42cm

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)