Answers:
Part A: The value of x must be 0
Part B: The value of x can be any real number
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Explanation:
Part A) We have the equation (7^2)^x = 1 which simplifies to 7^(2x) = 1. The only way to get the left side equal to the right side is to have the exponent of 2x equal zero. If 2x = 0, then x = 0. So that's why x = 0 is the only solution here.
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Part B) Similar to part A above, but the exponent is slightly different now. We have (7^0)^x = 1 which turns into 7^(0*x) = 1. The exponent 0*x is really 0 no matter what x is. We can plug in any real number we want for x and the left side will always be 1. This is why the solution set to this equation is the set of all real numbers.
Hope this answer can help you
Answer:
5 miles
Step-by-step explanation:
Think of this like a triangle. From the bottom of the tower, to the top of the tower, to the point 3 miles away, and back to the bottom of the tower.
So we already have 2 side lengths. The height of the tower, 3 miles, and the base, 4 miles. In order to find the 3rd length, the distance from the top of the tower to the point 4 miles away from the bottom, we need to apply the formula A squared + B squared = C squared.
We have A and B, (3 and 4) and we need C.
A squared (3 squared) is 9
B squared (4 squared) is 16
so 9 + 16 = C squared
9 + 16 = 25
C squared = 25
square root of 25 is 5
C = 5
The distance from the top of the tower to the point 4 miles away is 5.
Answer:
D
Step-by-step explanation:
Answer:
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Step-by-step explanation:
