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lorasvet [3.4K]
3 years ago
8

Madelyn has x nickels and y dimes, having a maximum of 15 coins worth no

Mathematics
1 answer:
aliina [53]3 years ago
4 0

9514 1404 393

Answer:

 2 nickels, 9 dimes

Step-by-step explanation:

When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the <em>unshaded</em> area the solution space. Here, the vertices of the triangular solution space are ...

  (2, 9), (2, 13), (6, 9)

Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.

__

Three solutions are shown:

  (x, y) = (2, 9), (3, 10), (4, 11)

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7 0
3 years ago
Someone please help asap! Thank you!
nekit [7.7K]

Answer:

The answer to your question is:

Perimeter = 26.5 units

Area = 22.5 units²

Step-by-step explanation:

Data

A (5, 9)

B (8, 0)

C (0, 9)

Formula

d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }

dAB = \sqrt{(8 - 5)^{2} + (0 - 9)^{2} }

dAB = \sqrt{3^{2} + 9^{2} }

dAB = \sqrt{90}

dBC = \sqrt{(0 - 8)^{2} + (9 - 0)^{2} }

dBC = \sqrt{8^{2} + 9^{2} }

dBC = \sqrt{145}

dAC = \sqrt{(0 - 5)^{2} + (9 - 9)^{2} }

dAC = \sqrt{5^{2} + 0^{2} } \\

dAC = \sqrt{25} = 5

Perimeter = \sqrt{90} + \sqrt{145} + 5

Perimeter = 26.5 units

Area = 1/2  [ ( 5x0) + (8x9) + (0 x 9) - (5x 9) - (0x 0) - (8x9)]

        = 1/2 [ 0 + 72 + 0 - 45 - 0 - 72]

        = 1/2 [-45]

        = 45/2

        = 22.5 units²

4 0
4 years ago
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