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Vadim26 [7]
3 years ago
12

What is the mapping notation that will transform triangle ABC to triangle A'B'C'?

Mathematics
1 answer:
Kaylis [27]3 years ago
3 0

Answer:

The transformation is (y,-x)

Step-by-step explanation:

To know the mapping notation, we need to know the coordinates of the image and the pre-image

For the pre-image, we have;

A(3,8)

B(6,8)

C(6,2)

For the image, we have

A’( 8,-3)

B’ (8,-6)

C’ (2,-6)

So let us try and get the transformation from the coordinates

We can see that this is;

(x,y) to (y,-x)

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Re-phrase it like this (9-t/6=5)
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The average weight of David, Esther, and Henry is 42.6 kg. Esther is twice as heavy as Henry. David is 5.2 kilograms lighter tha
kari74 [83]

Answer:

  53.2 kg

Step-by-step explanation:

Let E represent Esther's weight. Then Henry's weight is E/2, and David's weight is E-5.2. Their average weight is ...

  ((E-5.2) + E + (E/2))/3 = 42.6

  2.5E -5.2 = 127.8 . . . . . . . . . . multiply by 3, simplify

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4 years ago
an oatmeal recipe calls for 1 1/2 cups of oat and 2 1/2 cups of water. A If you have 3 cups of oats,how many cups of oats water
natima [27]

\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}~\hfill \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}\\\\[-0.35em]\rule{34em}{0.25pt}


A)


\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]3&x\end{array}\implies \cfrac{~~\frac{3}{2}~~}{3}=\cfrac{~~\frac{5}{2}~~}{x}\implies \cfrac{~~\frac{3}{2}~~}{\frac{3}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{x}{1}}\implies \cfrac{3}{6}=\cfrac{5}{2x}\\\\\\6x=30\implies x=\cfrac{30}{6}\implies \blacktriangleright x=5 \blacktriangleleft


B)


\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]2&x\end{array}\implies \cfrac{~~\frac{3}{2}~~}{2}=\cfrac{~~\frac{5}{2}~~}{x}\implies \cfrac{~~\frac{3}{2}~~}{\frac{2}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{x}{1}}\implies \cfrac{3}{4}=\cfrac{5}{2x}\\\\\\6x=20\implies x=\cfrac{20}{6}\implies x=\cfrac{10}{3}\implies \blacktriangleright x=3\frac{1}{3} \blacktriangleleft


C)


\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]5&x\end{array}\implies \cfrac{~~\frac{3}{2}~~}{5}=\cfrac{~~\frac{5}{2}~~}{x}\implies \cfrac{~~\frac{3}{2}~~}{\frac{5}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{x}{1}}\implies \cfrac{3}{10}=\cfrac{5}{2x}\\\\\\6x=50\implies x=\cfrac{50}{6}\implies x=\cfrac{25}{3}\implies \blacktriangleright x=8\frac{1}{3} \blacktriangleleft


D)


\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]x&3\end{array}\implies \cfrac{~~\frac{3}{2}~~}{x}=\cfrac{~~\frac{5}{2}~~}{3}\implies \cfrac{~~\frac{3}{2}~~}{\frac{x}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{3}{1}}\implies \cfrac{3}{2x}=\cfrac{5}{6}\\\\\\18=10x\implies \cfrac{18}{10}=x\implies \cfrac{9}{5}=x\implies \blacktriangleright 1\frac{4}{5}=x \blacktriangleleft

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