Answer:
Based on the results it is expected that the slope of the tangent line at the point (0.5,10) is -20.
Step-by-step explanation:
To see that compute, the slopes for the given points as follows:
1. For
we have:

2. For
we have:

3. For
we have:

4. For
we have:

So, we observe that the slope of the tangent line at
is close to the value -20.
The graph shown below is useful to see the secant lines that approximates the tangent line.
Answer:9.072×10³
Step-by-step explanation:
A number is said to be written in a scientific notation or standard form if it is expressed in the form a×10n where 1 is less than or equal to a and a is less than 10 and n is an integer
9072 is more than 10
So 9072÷10=907.2
Still 907.2 is more than 10
So 907.2÷10=90.72
Still 90.72 is more than 10
So 90.72÷10=9.072
9.072 is less than 10
We divided 9072 by 1000 and 1000 as a power of ten is 10³
So the answer is 9.072×10³
Answer:
x = 30
Step-by-step explanation:
110 and 3x - 20 are supplementary angles, sum to 180° , then
110 + 3x - 20 = 180
90 + 3x = 180 ( subtract 90 from both sides )
3x = 90 ( divide both sides by 3 )
x = 30