When Victoria moved into a new house, she planted two trees in her backyard. At the time of planting, Tree A was 32 inches tall and Tree B was 12 inches tall. Each year
thereafter, Tree A grew by 2 inches per year and Tree B grew by 6 inches per year. Let
A represent the height of Tree At years after being planted and let B represent the
height of Tree B t years after being planted. Graph each function and determine the
interval of time, t, when Tree A is taller than Tree B.
y Click twice to plot each line. Click a line to delete it.
80
72
68
64
60
56
Height in Inches
12
8
o 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Nunber of Years
Activ
Go to

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

70 years.

step-by-step explanation: