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laila [671]
3 years ago
15

The equation (x + 11)^2 + (y – 27)^2 = 2.25, with units in yards, represents a circular fountain in a park. The park entrance ma

ps to (0, 0). If the positive x-axis represents east and the positive y-axis represents north, what is the location of the fountain relative to the park entrance?
11 yards east and 27 yards north

11 yards west and 27 yards north

11 yards east and 27 yards south

11 yards west and 27 yards south
Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Got it right on test

LenKa [72]3 years ago
4 0

Answer:

B

Step-by-step explanation:

edge

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The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.
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Using the midpoint formula, the coordinates of endpoint H are (4, -6).

<h3>The Midpoint Formula</h3>

The midpoint formula is given as: (x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )

<em>Where</em>,

(x_m, y_m) = coordinates of the midpoint

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

Given the following:

(x_m, y_m) = M( 6,-4)

(x_1, y_1) = G(8,-2)

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Plug in the values into the midpoint formula

M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )

Solve for the x-coordinate and y-coordinate separately

6 = \frac{8 + x_2}{2}

  • Multiply both sides

6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}

-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}

Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).

Learn more about midpoint formula on:

brainly.com/question/13115533

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