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Vsevolod [243]
3 years ago
11

On Monday, Harold picked up four donuts and three large coffees for the office staff. He paid $4.96. On Tuesday, Melinda picked

up six donuts and six large coffees for the office staff. She paid $8.70. What is the cost of one donut? what is the cost of one large coffee?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0
x-cost\ of\ donut\\y-cost\ of\ coffee\\\\ \left \{ {{4x+3y=4.96\ \ |\cdot-2} \atop {6x+6y=8.7}} \right. \\\\ \left \{ {{-8x-6y=-9.92} \atop {6x+6y=8.7}} \right.\\+-----\\\\-2x=-1.22\ \ \ |:-2\\x=0.61\\\\4\cdot0.61+3y=4.96 \\2.44+3y=4.96\\3y=4.96-2.44\\3y=2.52\\y=0.84\\\\Donut\ cost\ 0.61\ and\ coffee\ cost\ 0.84
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The coordinates of vertex B' is P'(x,y) = (-2, -8).

<h3>How to calculate the coordinate of point by reflection</h3>

A point if reflected across the line y = -2 by means of the following formula:

P'(x,y) = P(x,y)+2\cdot [(x_{P}, -2)-P(x,y)] (1)

Where:

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If we know that P(x,y) = (-2,4) and x_{P} = -2, then the coordinates of the vertex is:

P'(x,y) = (-2, 4) + 2\cdot [(-2,-2)-(-2,4)]

P'(x,y) = (-2, 4) +2\cdot (0, -6)

P'(x,y) = (-2, 4) + (0,-12)

P'(x,y) = (-2, -8)

The coordinates of vertex B' is P'(x,y) = (-2, -8). \blacksquare

To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272

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