Find the values of the variables in this kite. Enter your answer and show all the steps that you used to solve this problem.
1 answer:
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Answer: -7
Step-by-step explanation:
First, lets use the functions to find the answer to f(-8) and g(4)
f(-8) is the same as asking for the value of y when x is -8
Therefore, f(-8) = -5 (according to the graph)
Using the same rule, g(4) would be the value of y when x = 4 which,
according to the graph, g(4) = 3
Plug these values back into the original equation to get:
using the order of operations, we will multiply the values first
. Multiplying the denominator by
gives
Subtracting this from the numerator gives a remainder of
. Multiplying the denominator by
gives
and subtracting this from the previous remainder gives a new remainder of
This last remainder is exactly the same as the denominator, so divides through it exactly and leaves us with 1.
What we showed here is that
and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:
which matches the original numerator.