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Morgarella [4.7K]
3 years ago
5

Lady Di is planning a tea party for 30 ladies of the castle. She has asked one of the village bakers, the French lady Pia, to ma

ke tiny fancy tarts for the party. She has asked the other baker, Bart ·Graf if he would bake scones for everyone. She has sent instructions to each baker detailing how many of each kind of tart and scone she wants. She told Pia that each lady would eat three tarts, and she wanted one-third of the tarts to be apple tarts and half as many lemon tarts as apple. She also ordered 20 raspberry tarts, and half as many plum tarts as raspberry. She also wanted as many cheese tarts as plum, and the rest should be quince tarts. Lady Di thought two scones for each lady would be enough. So from Bart Graf, she ordered a blueberry scone for each lady and half as many raisin scones as blueberry. She wanted one-third as many cinnamon scones as blueberry and said the rest could be plain scones. The poor bakers were confused by Lady Di's orders, but of course, they wouldn't dare question her. Can you make two graphs, one for Pia and one for Bart, to show them how many of each tart and scones they needed to bake?
Mathematics
2 answers:
lana66690 [7]3 years ago
8 0

Step-by-step explanation:

and im not trying to read all that, those are a lot of words

jekas [21]3 years ago
5 0
I’m gonna swingggggggg
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It is given in the question that

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Find the total surface area of this triangular prism 13cm 5cm 12cm 9cm 15cm 20cm
labwork [276]

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Step-by-step explanation:

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Identify the standard form of the equation by completing the square.
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Answer:

\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

Step-by-step explanation:

<u>Given equation</u>:

4x^2-9y^2-8x+36y-68=0

This is an equation for a horizontal hyperbola.

<u>To complete the square for a hyperbola</u>

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

\implies 4x^2-8x-9y^2+36y=68

Factor out the coefficient of the x² term and the y² term.

\implies 4(x^2-2x)-9(y^2-4y)=68

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2

\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36

Factor the two perfect trinomials on the left side:

\implies 4(x-1)^2-9(y-2)^2=36

Divide both sides by the number of the right side so the right side equals 1:

\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}

Simplify:

\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1

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