(8z - 10) ÷ (-2) + 5(z - 1) = 8z - 10 ÷ -2 + 5z - 5 = 8z + 5 + 5z - 5 = 13z
Answer:
Step-by-step explanation:
The initial height of a Japanese maple sapling is 14 inches.
The tree is expected to grow 2.5 inches each month. This increase in height is linear, thus it is in arithmetic progression.
The expression for arithmetic progression is
Tn = a + (n-1)d
Where a = the first term of the series
d = common difference
Tn is the nth term of the series
n = the number of terms.
From the information given
a = 14 inches because it is the initial height of the tree
d = 2.5 because it is the difference in height between 2 consecutive months
n = m( number of months)
Tn = f(m)
function models the relationship between the height of the tree f(m) and the number of m months of growth will be
f(m) = 14 + 2.5(m-1)
Answer:
x = 3.87
Step-by-step explanation:
Using the right angle altitude theorem, we know that all three triangles are congruent, so the lengths of corresponding sides of the triangles are in proportion..
AD/DB = DB/DC
15/x = x/1
x² = 15
x = √15
x = 3.87
