Answer:
m (slope) = 
Step-by-step explanation:
point-slope form: m= 
(4, 5) (2, -6)
x1 y1 x2 y2
-------------------
= m
-6 - 5 = -11
2 - 4 = -2
m = 
Answer:
AC=16 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. It was given that diagonals AC and BD intersect at point E.
This implies that:
.
We substitute the expression for x, we get:
.
Group similar terms to get:
.
.

AC = 2(12-4x)
AC=2(12-4(1))
AC=2(8)
AC=16
Answer:
The amount of interest earned at the end of 14 years would be $672.3486
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this problem, we have that:

So

The amount of interest earned at the end of 14 years would be $672.3486
7(5)-12(5)-5=-45+15
-30 = -30
answer= B. x=5