IDNLearn.com: Your go-to resource for finding precise and accurate answers. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.
Sagot :
To determine which equation is true among the given options, let's analyze each one step-by-step:
Option A: [tex]\(4 \times n \times n \times n \times n = 4 n^4\)[/tex]
- Here, on the left-hand side, we have [tex]\(4 \times n \times n \times n \times n\)[/tex], which is equivalent to [tex]\(4n^4\)[/tex]. Clearly, this simplifies directly to the right-hand side, [tex]\(4n^4\)[/tex].
- Therefore, [tex]\(4 \times n \times n \times n \times n = 4n^4\)[/tex] is true.
Option B: [tex]\(10 h - 10 = 10 - 10 h\)[/tex]
- Let's simplify the left-hand side first: [tex]\(10h - 10\)[/tex].
- Now, compare it to the right-hand side: [tex]\(10 - 10h\)[/tex].
- These two expressions are not the same; they are actually negatives of each other unless [tex]\(h = 1\)[/tex].
- Therefore, [tex]\(10 h - 10 = 10 - 10h\)[/tex] is generally not true for all [tex]\(h\)[/tex].
Option C: [tex]\(x^2 + 3 v = (x + x) + v \times v \times v\)[/tex]
- The left-hand side is [tex]\(x^2 + 3v\)[/tex].
- The right-hand side is [tex]\((x + x) + v^3\)[/tex] which simplifies to [tex]\(2x + v^3\)[/tex].
- These two expressions are different unless specific values of [tex]\(x\)[/tex] and [tex]\(v\)[/tex] make the equation true by coincidence.
- Therefore, [tex]\(x^2 + 3v \neq 2x + v^3\)[/tex] in general.
Option D: [tex]\(6 \times (2 + 7) = (6 \times 2) + 7\)[/tex]
- Simplify inside the parentheses on the left-hand side: [tex]\(6 \times 9 = 54\)[/tex].
- Now, simplify the right-hand side: [tex]\(6 \times 2 + 7 = 12 + 7 = 19\)[/tex].
- These are clearly different values.
- Therefore, [tex]\(6 \times (2 + 7) \neq 6 \times 2 + 7\)[/tex].
Based on analyzing each equation step-by-step, the true equation is:
Option A: [tex]\(4 \times n \times n \times n \times n = 4n^4\)[/tex].
Option A: [tex]\(4 \times n \times n \times n \times n = 4 n^4\)[/tex]
- Here, on the left-hand side, we have [tex]\(4 \times n \times n \times n \times n\)[/tex], which is equivalent to [tex]\(4n^4\)[/tex]. Clearly, this simplifies directly to the right-hand side, [tex]\(4n^4\)[/tex].
- Therefore, [tex]\(4 \times n \times n \times n \times n = 4n^4\)[/tex] is true.
Option B: [tex]\(10 h - 10 = 10 - 10 h\)[/tex]
- Let's simplify the left-hand side first: [tex]\(10h - 10\)[/tex].
- Now, compare it to the right-hand side: [tex]\(10 - 10h\)[/tex].
- These two expressions are not the same; they are actually negatives of each other unless [tex]\(h = 1\)[/tex].
- Therefore, [tex]\(10 h - 10 = 10 - 10h\)[/tex] is generally not true for all [tex]\(h\)[/tex].
Option C: [tex]\(x^2 + 3 v = (x + x) + v \times v \times v\)[/tex]
- The left-hand side is [tex]\(x^2 + 3v\)[/tex].
- The right-hand side is [tex]\((x + x) + v^3\)[/tex] which simplifies to [tex]\(2x + v^3\)[/tex].
- These two expressions are different unless specific values of [tex]\(x\)[/tex] and [tex]\(v\)[/tex] make the equation true by coincidence.
- Therefore, [tex]\(x^2 + 3v \neq 2x + v^3\)[/tex] in general.
Option D: [tex]\(6 \times (2 + 7) = (6 \times 2) + 7\)[/tex]
- Simplify inside the parentheses on the left-hand side: [tex]\(6 \times 9 = 54\)[/tex].
- Now, simplify the right-hand side: [tex]\(6 \times 2 + 7 = 12 + 7 = 19\)[/tex].
- These are clearly different values.
- Therefore, [tex]\(6 \times (2 + 7) \neq 6 \times 2 + 7\)[/tex].
Based on analyzing each equation step-by-step, the true equation is:
Option A: [tex]\(4 \times n \times n \times n \times n = 4n^4\)[/tex].
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.