What are the center and radius of a circle defined by the equation x^2+y^2- 6x+ 8y+ 21=0?
2 answers:
You might be interested in
Values of the composite function:
Step-by-step explanation:
Given two functions f(x) and g(x), their composite function is given by
Which means using the output value of g(x) as input for f(x).
Let's start by computing
First, we compute the value of f(-1), which is (from the graph)
f(-1) = 1
Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:
Now we evaluate
First, we compute the value of f(0), which is (from the graph)
f(0) = 0
Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:
Now we evaluate
First, we compute the value of g(-1), which is (from the graph)
g(-1) = 5
Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:
Finally we evaluate
First, we compute the value of g(4), which is (from the graph)
g(4) = 4
Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:
Learn more about composite functions:
#LearnwithBrainly
Answer:
x = 17, y = 34
Step-by-step explanation:
Since the triangle is right use trig ratios to find x and y
note exact values sin30° = , tan30° =
sin30° = =
multiply both sides by y
y sin30° = 17 ( divide both sides by sin30° )
y = = 34
tan30° = =
multiply both sides by x
x tan30° = 17 ( divide both sides by tan30° )
x = = 17