John and David graphed a circle with center (-3,1)

Mathematics

1 answer:

mihalych1998 [28]2 years ago

8 0

Neither of them are fully correct because the equation of a circle is:

$(x - h) ^{2} + (y - k) ^{2} = r ^{2}$

h = x value of center coordinate

k = y value of center coordinate

r = radius

Therefore, the correct equation of the circle is:

$(x + 3) ^{2} + (y - 1) ^{2} = 49$

David had the correct values in each of the parentheses while John had the correct value on the right side of the equation.

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vfiekz [6]

9514 1404 393

Answer:

the correct answer is marked

Step-by-step explanation:

The graph ranges vertically between 9 and 15, starting at 9 (the minimum) when x=0. The minimum appears again at x=350.

This means the vertical offset is (9+15)/2 = 12, and the amplitude is (15 -9)/2 = 3. The period is 350, so the coefficient of x is (2π/350). All of the answer choices agree on these parameters.

So, the selection comes down to an understanding of how the sine and cosine curves vary. The sine curve starts at zero and increases from there. The cosine curve starts at its maximum (1) and decreases. Here, the curve starts a its minimum and increases, so could be the opposite of the cosine function.

y = -3cos(2πx/350) +12 . . . . . . matches choice C

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2 years ago

8.6 + 5.6x - 1.5 = 40.7

Bumek [7]

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$x=6$