Answer:
AC = 18 ft
Explanation:
There is a geometric theorem that states that:
" In a triangle, the line joining two midpoints of two sides is parallel to the third side and equals have its length"
Now, let's check the given triangle:
M is the midpoint of AB
N is the midpoint of BC
Based on the above theorem:
MN will be parallel to AC
and
length of MN = (1/2) * length of AC
We are given that:
length of MN = 9 ft
Therefore:
9 = (1/2) * length of AC
length of AC = 2 * 9 = 18 ft
Hope this jhelps :)
Answer:

Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to

where
P is the population
t is the time in years
a is the initial value
r is the rate of change
<u><em>Looking at the table</em></u>
For t=0
The value of P=1,000
so
substitute the value of the ordered pair (0,1,000) in the exponential equation

The initial value is a=1,000
substitute

For t=1
The value of P=1,400
so
substitute the value of the ordered pair (1,1,400) in the exponential equation

therefore
The exponential equation is

Answer:
x = 1
Step-by-step explanation:
2/3x + 1/3 = 1/3x + 2/3
2/3x - 1/3x = 2/3 - 1/3
1/3x = 1/3
x = 1
Answer:
6.6 yd
Step-by-step explanation:
+
=
+
=
Substitute a= 10 and c=12
100+
=144 Evaluate the Powers
=44 Subtract 100 on both sides.
b=
Square root both sides b>0 so you dont need ⊥
b=6.6 Use a calculator to evaluate.