Write the equation of a circle with center upper c left-parenthesis 4 comma negative 5 right-parenthesis that passes through upp
er p left-parenthesis 1 comma negative 2 right-parenthesis number .
1 answer:
The square of the distance between C(4, -5) and P(1, -2) is given by the Pythagorean theorem as
(4-1)² +(-5-(-2))² = 18
This is the square of the radius of the circle, so we can use it for r² in the formula
(x -h)² +(y -k)² = r² . . . . . . . circle of radius r and center (h, k)
Your circle has equation ...
(x -4)² +(y +5)² = 18
(4-1)² +(-5-(-2))² = 18
This is the square of the radius of the circle, so we can use it for r² in the formula
(x -h)² +(y -k)² = r² . . . . . . . circle of radius r and center (h, k)
Your circle has equation ...
(x -4)² +(y +5)² = 18
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So,
"The sum of five times a number and -6"
5n + -6 or 5n - 6
"is -2"
= -2
5n - 6 = -2
Add 6 to both sides.
5n = 4
Divide both sides by 5.
"The sum of five times a number and -6"
5n + -6 or 5n - 6
"is -2"
= -2
5n - 6 = -2
Add 6 to both sides.
5n = 4
Divide both sides by 5.
ANSWER
EXPLANATION
The frequency of a wave function refers to the number of times the graph repeats its cycle within the interval [0,2π]
We can observe explicitly from the graph that the frequency is half.
The period of the given function is 4π
Hence the frequency is half.