If b2 + d = 24, which of the following values could b and d have? Select all correct answers.a. b = 4 and d = 8b. b = 8 and d = 4c. b = 0 and d = 24d. b = 3 and d = 18
Question
If b2 + d = 24, which of the following values could b and d have? Select all correct answers.a. b = 4 and d = 8b. b = 8 and d = 4c. b = 0 and d = 24d. b = 3 and d = 18
Solution
To find the correct values for b and d, we need to substitute the given values into the equation b^2 + d = 24 and see if the equation holds true.
a. b = 4 and d = 8 Substituting these values into the equation gives us 4^2 + 8 = 24. Simplifying this gives us 16 + 8 = 24, which is true. So, a is a correct answer.
b. b = 8 and d = 4 Substituting these values into the equation gives us 8^2 + 4 = 24. Simplifying this gives us 64 + 4 = 24, which is not true. So, b is not a correct answer.
c. b = 0 and d = 24 Substituting these values into the equation gives us 0^2 + 24 = 24. Simplifying this gives us 0 + 24 = 24, which is true. So, c is a correct answer.
d. b = 3 and d = 18 Substituting these values into the equation gives us 3^2 + 18 = 24. Simplifying this gives us 9 + 18 = 24, which is not true. So, d is not a correct answer.
Therefore, the correct answers are a and c.
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