Answer:

Step-by-step explanation:
GIVEN: The length of each side of a square is
inches more than the length of each side of a small square. The sum of the areas of the square is
inches.
TO FIND: the lengths of the sides of the two squares.
SOLUTION:
let the length of side of small square be 
Area of small square 
As length of each side of bigger square is
more than the smaller square
length of side of bigger square 
Area of bigger square 
Also
Sum of areas of both square 




as the length of side can never be negative

length of side of smaller square 
length of side of bigger square 

Hence the length of smaller and bigger square are
and
respectively.
A temperature in degree celcius is not equivalent to its equivalent temperature in degrees fahrenheit.
Answer:
6
Step-by-step explanation:
Double negative = positive
Given:
Number of passengers seated in the roller coaster = 21
Empty seats = 3
Number of cars in roller coaster = 4 (each with the same number of seats)
To find:
An equation that can be used to determine the number of seats in each car.
Solution:
Let s be the number of seats in each car.
Total number of seats in 4 cars = 4s
Using the given information,
Total number of seats = Occupied seated + Empty seats
= 21 + 3
= 24
Now, the required equation is

Therefore, the required equation is
.
Divide both sides by 4.


Therefore, the number of seats in each car is 6.
14^(7x) = 17^(-8-x)
Take the log of both sides:
7x*log 14 = -(8+x)*log 17, or 7x^log 14 = -8*log 17 - x*log 17.
Grouping the x terms, we get x(7*log 14 + log 17)= -8*log 17
Then:
-8*log 17
x= -------------------------- (answer)
7*log 14 + log 17