Answer:
We know that the area of a square of side length L is given by:
A = L^2
Here, the total area of the white square is:
A = (3x + 1)^2
And the area of the shaded square is:
A' = (2x + 3)^2
a) If we remove the shaded area from the white area, the remaining area is just the difference between the two, then:
area = A - A' = (3x + 1)^2 - (2x + 3)^2
This is the expression we wanted.
b) Now we need to expand and simplify the expression:
area = (3x + 1)^2 - (2x + 3)^2
area = (3x)^2 + 2*(3x)*1 + 1^2 - (2x)^2 - 2*(2x)*3 - 3^2
area = 9x^2 + 6x + 1 - 4x^2 - 12x - 9
area = (9 - 4)*x^2 + (6 - 12)*x + 1 - 9
area = 5*x^2 - 6*x - 8
This is the simplified equation for the remaining area.
In math, prime factorization is defined as the <span>finding of the </span>prime<span> numbers that multiply together to make a particular number. A prime number is a number that is only divisible by itself and one. In this case, the correct prime factorization of 28/98 is </span><span>(2x2x7)/(2x7x7), and when you reduce the fraction to its lowest term, you will get 2/7. Hope this answer helps.</span>
I'm pretty sure its the first chose but I'm not sure sorry i couldn't help more
Answer:
Your solution is 21 = x.
Step-by-step explanation:
This problem involves two fractions. The LCD is 6. Mult. both sides of this equation by 6 to obtain 2(x+6) = 3(x-3).
Performing the indicated multiplication, we get 2x + 12 = 3x - 9.
Combining like terms: 21 = x
Answer:
The common ratio to the given geometric sequence is 
Therefore common ratio is 
Step-by-step explanation:
Given sequence is 9,-3,1,
Given that the given sequence is a geometric sequence
To find the common ratio of the given sequence :
Let 
Common ratio 
Substitute 
Therefore
Common ratio 
Substitute 
Therefore
The common ratio to the given geometric sequence is
Therefore common ratio is
