The first three terms of a geometric sequence are 2, 7, and 24.5. What is the next term in the sequence? A 85.75 B 49 C 42D 29.
1 answer:
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Answer:
The coordinate of the wells are
Step-by-step explanation:
The y coordinate of the stream is given by . Also, the y coordinate of the houses are determined by y=-15x+10. We will assume that the houses are goint to be built on the exact position where we build the wells. We want to build the wells at the exat position in which both functions cross each other, so we have the following equation
or equivalently
(by summing 15x and substracting 10 on both sides)
Dividing by 2 on both sides, we get
Recall that given the equation of the form the solutions are
Taking a =2, b = 16 and c = -21, we get the solutions
If we replace this values in any of the equations, we get
