What is the value of x in the figure? Enter your answer in the box.
2 answers:
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Answer:
The attached image shows the graph for the given function.
Step-by-step explanation:
We are given the following function in the question:
We have to graph the given function.
Properties of the given function are:
- It is an exponential function of the form
- Here, a = 2, b = -1
- The y-intercept of the given function is (0,0.5)
- There is no x-intercept.
- The domain of the given function is all real numbers.
- The range of given function is
The attached image shows the graph for the given function.
9514 1404 393
Answer:
BC ≈ 17.0 (neither Crow nor Toad is correct)
Step-by-step explanation:
The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.
The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.
The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.
Rather, the Law of Cosines must be invoked, first to find angle A (109.471°), then to use that angle to compute the length of BC given the side lengths AB and AC. That computation gives BC ≈ 16.971. (See the second attachment.)
