Find the center and radius of the circle with equation (x + 8)2 + (y + 3)2 = 49.
2 answers:
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Answer:
The slope of the line that is parallel to the given line is
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope of the line who has an equation ax + by = c is m =
Let us use these rules to solve the question
∵ The equation of a given line is 7x + 4y = -16
→ Compare it with the form of the equation above
∴ a = 7 and b = 4
∵ The slope of the line =
∴ The slope of the line =
∵ Parallel lines have the same slope
∴ The slope of the line that is parallel to the given line is
We are given the function below;
PART A
We then proceed to find if the function has a minimum or maximum value. To find if the function has a minimum or maximum value. If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum.
ANSWER: From the above, we can see that x^2 is negative, hence the function has a maximum
PART B and C
To find the minimum or maximum value, we would plot the graph of the f(x). The graph can be seen below.
From the graph, the black point helps answer part A and part B.
ANSWER: The function's maximum value is f(x)=2.
This is the point where the slope of the graph is equal to zero
ANSWER: The maximum value then occurs at x= -1
We can also solve this by differentiating the function.
