Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>
Answer:


Step-by-step explanation:

Given:
The ratio of 45-45-90 triangle is
.
The hypotenuse of the given isosceles right triangle is
.
To find:
The lengths of the other two sides of the given isosceles right triangle.
Solution:
Let
be the lengths of the other two sides of the given isosceles right triangle.
From the given information if is clear that he ratio of equal side and hypotenuse is
. So,




Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.
Answer:
![2x^2y[x^{2}y^{2}-6xy-4]](https://tex.z-dn.net/?f=2x%5E2y%5Bx%5E%7B2%7Dy%5E%7B2%7D-6xy-4%5D)
Step-by-step explanation:
we have

Factor 
so
![2x^2y[x^{2}y^{2}-6xy-4]](https://tex.z-dn.net/?f=2x%5E2y%5Bx%5E%7B2%7Dy%5E%7B2%7D-6xy-4%5D)