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kherson [118]
3 years ago
9

Four students wrote sequences during math class.

Mathematics
2 answers:
N76 [4]3 years ago
6 0
Doug because his sequence follows a rule of multiplying by -1/2 Hope I got it right for your sake.
AleksAgata [21]3 years ago
4 0

Answer:

Doug wrote geometric sequence.

Step-by-step explanation:

a geometric sequence is where we get common ratio between consecutive terms

\text{common ratio}=\frac{a_2}{a_1}

In case of Andre:

On substituting the values so as to find common ratio is

\frac{\frac{3}{8}}{\frac{3}{4}}=\frac{-1}{2}

\frac{\frac{-3}{16}}{\frac{3}{8}}=\frac{-1}{2}

\frac{\frac{-3}{32}}{\frac{-3}{16}}=\frac{1}{2}

Andre did not write a geometric sequence.

In case of Brenda:

On substituting the values so as to find common ratio is

\frac{\frac{-3}{8}}{\frac{3}{5}}=\frac{-5}{8}

\frac{\frac{3}{16}}{\frac{-3}{8}}=\frac{-1}{2}

\frac{\frac{3}{32}}{\frac{3}{16}}=\frac{1}{2}

Brenda did not write a geometric sequence.

In case of Camille

On substituting the values so as to find common ratio is

\frac{\frac{3}{8}}{\frac{3}{4}}=\frac{1}{2}

\frac{\frac{-3}{16}}{\frac{3}{8}}=\frac{-1}{2}

\frac{\frac{-3}{32}}{\frac{-3}{16}}=2

Camille did not write a geometric sequence.

In case of Doug:

On substituting the values so as to find common ratio is

\frac{\frac{-3}{8}}{\frac{3}{4}}=\frac{-1}{2}

\frac{\frac{3}{16}}{\frac{-3}{8}}=\frac{-1}{2}

\frac{\frac{-3}{32}}{\frac{3}{16}}=\frac{-1}{2}

Doug wrote a geometric sequence.

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Answer:

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Step-by-step explanation:

The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.

The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.

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<em>Additional comment</em>

The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.

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3 years ago
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What is the slope of (-4,6) and (2,-5)
Dominik [7]

Answer:

-11/6

Step-by-step explanation:

Slope can be found with this equation:

(y₁ - y₂) / (x₁ - x₂)

What this essentially tells us to do is to put one set of the x and y coordinates into x₁ and y₁, respectfully. Then, put the other set of x and y points as x₂ and y₂.

With this scenerio, we can substitute the given points into the formula.

(6 - (-5)) / (-4 - 2) =

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On Sunday a library checked out 52books .if 24 of the books were fiction what is the ratio of non fiction books to fiction books
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Answer:

Ratio of Non Fiction : Fiction books = 7 : 6

Step-by-step explanation:

Total number of books checked out =  52

Number of fiction books checked out = 24

So, number of non fiction books =  Total books -  number of fiction books

Or, number of non fiction = 52 - 24   =  28  books

Now, ratio of Non Fiction : Fiction books = 28 : 24

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