Answer:

Step-by-step explanation:
To find the distance between two points, use the distance formula.
The distance formula is:

Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:

Simplify:

Square:

Add:

Simplify:

Simplify:

Let width = w then we have the equation:-
w(w + 12) = 448
w^2 + 12w - 448 = 0
(w - 16)(w + 28) = 0
w = 16
Answer: the dimensions of the window are width 16 by height 28 inches
Answer:
c
Step-by-step explanation:
ON=MN, so triangle onm is a right isosclese triangle, so ON=NM=4 square root 2
Answer:

Step-by-step explanation:

Take
& factorise it at first.

Now factorise the next set :
.

Now, multiply the two simplified results.


Answer:
The balance of account at the end of 36 years is $31,849.29
Step-by-step explanation:
We are given the following in the question:
P = $3,300
r = 6.5% = 0.065
t = 36 years
The compound interest is given by:
where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.
Since interest is compounded annualy we use n = 1
Thus, balance of account at the end of 36 years is $31,849.29