The picture in the attached figure
we know that
area of the <span>the shaded region=area of rectangle -area of a kite
area of rectangle=(3x+x)*(x+x)----> 4x*2x---> 8x</span>²
area of a kite=(1/2)*[d1*d2]
where d1 and d2 are the diagonals
d1=4x
d2=2x
so
area of a kite=(1/2)*[4x*2x]----> 4x²
area of the the shaded region=8x²-4x²-----> 4x²
the answer is 4x²
Answer:
The number of
Fiction books = x = 2400 fiction books
Non fiction books = y = non fiction books
Step-by-step explanation:
Let the number of
Fiction books = x
Non fiction books = y
The libary has 4,000 books in total.
Hence: x + y = 4000........ Equation 1
The number of fiction books in a libary is %150 of the number of non-fiction books.
x = 150% of y
x = 150/100 × y
x = 1.5y
We substitute 1.5y for x in Equation 1
x + y = 4000
1.5y + y = 4000
2.5y = 4000
y = 4000/2.5
y = 1600 non fiction books
Solving for x
x = 1.5y
x = 1.5 × 1600
x = 2400 fiction books.
Therefore,
The number of
Fiction books = x = 2400 fiction books
Non fiction books = y = non fiction books
Answer: The quotient is (2x+1)
Step-by-step explanation:
Here, the dividend = 
Divisor = 
By the long division method for finding the quotient we will follow the following steps,
Steps 1 : Write dividend inside the division sign and divisor outside the division sign,
Step 2: Multiply the divisor by 2x and subtract the result by the dividend,
Step 3: Now, again multiply the divisor by 1,
Step 4: Subtract the result by the remaining dividend,
Since, further division is not possible,
Hence, the sum of all terms that are multiplied = 2x+1
Which is our quotient.
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The discriminant is ...
b^2 -4ac = (-4)^2 -4(2)(16) = 16 -128 = -112
A negative discriminant means there are no real solutions to the equation.
_____
The complex solutions are 1±i√7.
If we assume the equation has a typographical error and is intended to be ...
2x^2 -4x -16 = 0
The solutions are x = -2 and x = 4.
Answer: -29
Subtract 18 FROM -11.
That means that 18 would go after -11.
-11 - 18 = -29