Question: The area of a square is 324 square inches. What is the length of one side of the square?
The formula for finding area of squares is:
Length x Width
Squares have 4 sides, and all sides measure the same. If the area is 324 square units, that means the length and width are the same.
x X x=x2
X2=324
x squared(x²) is equal to 324. To find x, you have to do the opposite of squaring, which is finding the square root.
x2= 324 —> square root of 324=x
To find x, you have find the square root of 324.
Square root of 324 is 8
The length of one side is 18 inches
Check:
The formula for finding area is:
Length x Width
The length and width gotten was 18. Put that into the formula:
18 x 18
Multiply:
18 x 18= 324
That means the answer is correct. Your answer is 18 inches.
If you have any questions, feel free to ask in the comments! :)
C) x+3
first one factors to (x+3)(x-3)
second factors to (x+3)(x-2)
Answer:
13 units
Step-by-step explanation:
The legs of an isosceles trapezoid are congruent, then
x + 8 = 48 - 7x ( add 7x to both sides )
8x + 8 = 48 ( subtract 8 from both sides )
8x = 40 ( divide both sides by 8 )
x = 5
Then
leg = x + 8 = 5 + 8 = 13
Answer:
See method below.
Step-by-step explanation:
m/n + n/3 = 2
2/m + n = 4
First eliminate the fractions by multiplying the first equation by 3n:-
3m + n^2 = 6n...........(1)
and the second equation by m:-
2 + mn = 4m..............(2)
Now we solve using substitution:-
From equation (2):-
4m - mn = 2
m = 2 / (4 - n)
Now substitute for m in equation (1):-
6/ (4 - n) + n^2 = 6n
6 + n^2(4 - n) = 6n(4 - n)
6 + 4n^2 - n^3 = 24n - 6n^2
n^3 - 10n^2 + 24n - 6 = 0
This will not factor so we could solve this using graphical software.
To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.
