Need help on this math problem
1 answer:
Answer:
Step-by-step explanation:
We can solve the first equation, f of -3. The value of the function f is , and plugging in -3 gets us
, this results in 10 divided by negative 2, which is negative 5.
Now, we must solve g of negative one third. The function g is defined as . Plugging in negative one third into the question gets us
9 times negative one third is -3, and -3 minus 15 is -18. The absolute value of -18 is 18.
Now, we must solve h of negative 2, and h is defined as . Plugging in negative 2, we have
. Negative 8 times negative 2 is positive 16, and 16 minus 3 is 13. The answer is the square root of 13
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Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think.
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly 17.0045249336018 meters tall
Answer: 17.0045249336018
Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly 17.0045249336018 meters tall
Answer: 17.0045249336018
Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to
In short, the average rate of change is plainly the slope of the set, so we can pick any two points off there, say 2, 35 and 10, 115,
