Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
To solve the problem, we need to find which expression is equivalent to [tex]\(9^2 + 4^2\)[/tex].
Let's start by evaluating [tex]\(9^2 + 4^2\)[/tex].
[tex]\[ 9^2 \][/tex] means 9 multiplied by itself, which is:
[tex]\[ 9 \times 9 = 81 \][/tex]
[tex]\[ 4^2 \][/tex] means 4 multiplied by itself, which is:
[tex]\[ 4 \times 4 = 16 \][/tex]
Adding them together:
[tex]\[ 81 + 16 = 97 \][/tex]
Now we will check each provided option to find which one equals 97.
1. [tex]\((9 + 4)^2\)[/tex]
[tex]\[ 9 + 4 = 13 \][/tex]
[tex]\[ 13^2 = 13 \times 13 = 169 \][/tex]
This is not equivalent to 97.
2. [tex]\((9 \times 4)^2\)[/tex]
[tex]\[ 9 \times 4 = 36 \][/tex]
[tex]\[ 36^2 = 36 \times 36 = 1296 \][/tex]
This is not equivalent to 97.
3. [tex]\((9 \times 9) + (4 \times 4)\)[/tex]
[tex]\[ 9 \times 9 = 81 \][/tex]
[tex]\[ 4 \times 4 = 16 \][/tex]
Adding them together:
[tex]\[ 81 + 16 = 97 \][/tex]
This is equivalent to 97.
4. [tex]\((9 + 9) + (4 + 4)\)[/tex]
[tex]\[ 9 + 9 = 18 \][/tex]
[tex]\[ 4 + 4 = 8 \][/tex]
Adding them together:
[tex]\[ 18 + 8 = 26 \][/tex]
This is not equivalent to 97.
After careful evaluation, the expression that is equivalent to [tex]\(9^2 + 4^2\)[/tex] is [tex]\((9 \times 9) + (4 \times 4)\)[/tex].
Thus, the correct answer is:
[tex]\[ (9 \times 9) + (4 \times 4) \][/tex]
Let's start by evaluating [tex]\(9^2 + 4^2\)[/tex].
[tex]\[ 9^2 \][/tex] means 9 multiplied by itself, which is:
[tex]\[ 9 \times 9 = 81 \][/tex]
[tex]\[ 4^2 \][/tex] means 4 multiplied by itself, which is:
[tex]\[ 4 \times 4 = 16 \][/tex]
Adding them together:
[tex]\[ 81 + 16 = 97 \][/tex]
Now we will check each provided option to find which one equals 97.
1. [tex]\((9 + 4)^2\)[/tex]
[tex]\[ 9 + 4 = 13 \][/tex]
[tex]\[ 13^2 = 13 \times 13 = 169 \][/tex]
This is not equivalent to 97.
2. [tex]\((9 \times 4)^2\)[/tex]
[tex]\[ 9 \times 4 = 36 \][/tex]
[tex]\[ 36^2 = 36 \times 36 = 1296 \][/tex]
This is not equivalent to 97.
3. [tex]\((9 \times 9) + (4 \times 4)\)[/tex]
[tex]\[ 9 \times 9 = 81 \][/tex]
[tex]\[ 4 \times 4 = 16 \][/tex]
Adding them together:
[tex]\[ 81 + 16 = 97 \][/tex]
This is equivalent to 97.
4. [tex]\((9 + 9) + (4 + 4)\)[/tex]
[tex]\[ 9 + 9 = 18 \][/tex]
[tex]\[ 4 + 4 = 8 \][/tex]
Adding them together:
[tex]\[ 18 + 8 = 26 \][/tex]
This is not equivalent to 97.
After careful evaluation, the expression that is equivalent to [tex]\(9^2 + 4^2\)[/tex] is [tex]\((9 \times 9) + (4 \times 4)\)[/tex].
Thus, the correct answer is:
[tex]\[ (9 \times 9) + (4 \times 4) \][/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.