Option A and Option D are correct, and are added to form the polynomial
To find two polynomials that have a sum of
Add the coefficients of the corresponding terms in each polynomial and see if they match the coefficients of the given polynomial.
In the given options, let us consider two polynomials:
and
Add these two polynomials:
Group the like terms:
Combine like terms:
Hence, the two polynomials that have a sum of are and . Option A and D are correct.
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Answer: - 2x^2 + 4x + 3
Step-by-step explanation:
( -x^2 - 4x - 5) + ( -x^2 + 8x + 8)
Take out parentheses:
- x^2 - 4x - 5 - x^2 + 8x + 8
Write in a way so that like terms are grouped together:
- x^2 - x^2 - 4x + 8x - 5 + 8
Combine 'x^2' terms:
- 2x^2 - 4x + 8x - 5 + 8
Combine 'x' terms:
- 2x^2 + 4x - 5 + 8
Combine integers:
- 2x^2 + 4x + 3
1.
Three less than 9 times a number is 21.
2.
The sum of 3 times a number and 9 is 21.
3.
The difference of 9 times a number and 3 is 21.
4.
Nine less than 3 times a number is 21.
A.
3n + 9 = 21
B.
9n – 3 = 21
C.
3n – 9 = 21
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
-------> equation A
-----> equation B
Isolate the variable y in the equation B
------>
Equation A and equation B are equal
Line A and Line B are the same
therefore
The system of equations is a consistent dependent system
The system of equations has infinitely solutions
All ordered pairs belong to the line are solutions of the system
see the graph in the attached figure
A.
7.5 centimeters
B.
35 centimeters
C.
15 centimeters
D.
2.5 centimeters
The width of the rectangle is 2.5 cm. Therefore, option D is the correct answer.
Given that, a rectangle has an area of 25 square centimeters and a length of 10 centimeters.
The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Now, put length = 10 cm and area of a rectangle = 25 cm² in area of rectangle formula
That is, 25 = 10 × width
Width = 2.5 cm
The width of the rectangle is 2.5 cm. Therefore, option D is the correct answer.
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