The function g(x) shown in the table below is a linear function. Identify the slope.

-4

Step-by-step explanation:

Remember that the slope is given by

m = (y2-y1)/(x2-x1)

Using the points (-3,10) and (0,-2)

  = (-2-10)/(0--3)

  =(-2-10)/(0+3)

  -12/3

  -4

Slope Formula: (y2 - y1) / (x2 - x1)

---You can pick any two points to find the slope; you will get the same answer each time.

Point 1: (-3, 10)

Point 2: (1, -6)

(-6 - 10) / (1 - - 3)

-16 / 4

-4

Slope (m) = -4

Hope this helps!

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

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