Question
Find the area of the rectangle below:
right side is 3x^3
bottom side is -4x^3 + 5
(1 point)
Responses
12x6−15x3
−12x9+15x3
−12x6+15x3
−x^3+5
11x^3−2
right side is 3x^3
bottom side is -4x^3 + 5
(1 point)
Responses
12x6−15x3
−12x9+15x3
−12x6+15x3
−x^3+5
11x^3−2
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the area of the rectangle, we need to multiply the lengths of its sides.
The right side of the rectangle is given as \(3x^3\) and the bottom side is given as \(-4x^3 + 5\).
Now, we will calculate the area (A):
\[
A = \text{Right Side} \times \text{Bottom Side} = (3x^3) \times (-4x^3 + 5)
\]
To calculate this, we distribute \(3x^3\) to both terms in the expression for the bottom side:
\[
A = 3x^3 \times -4x^3 + 3x^3 \times 5
\]
Calculating each part, we get:
1. \(3x^3 \times -4x^3 = -12x^{6}\)
2. \(3x^3 \times 5 = 15x^{3}\)
Now, we can combine these results to find the total area:
\[
A = -12x^6 + 15x^3
\]
Therefore, the area of the rectangle is:
\[
\boxed{-12x^6 + 15x^3}
\]
This corresponds to the third option in the responses provided.
The right side of the rectangle is given as \(3x^3\) and the bottom side is given as \(-4x^3 + 5\).
Now, we will calculate the area (A):
\[
A = \text{Right Side} \times \text{Bottom Side} = (3x^3) \times (-4x^3 + 5)
\]
To calculate this, we distribute \(3x^3\) to both terms in the expression for the bottom side:
\[
A = 3x^3 \times -4x^3 + 3x^3 \times 5
\]
Calculating each part, we get:
1. \(3x^3 \times -4x^3 = -12x^{6}\)
2. \(3x^3 \times 5 = 15x^{3}\)
Now, we can combine these results to find the total area:
\[
A = -12x^6 + 15x^3
\]
Therefore, the area of the rectangle is:
\[
\boxed{-12x^6 + 15x^3}
\]
This corresponds to the third option in the responses provided.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.