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Rus_ich [418]
3 years ago
12

Haley constructed this 10-sided polygon using triangles,

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:

the answer is 8 just took the test and 10 was wrong

Step-by-step explanation:

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Given the function f(x) = x2 and k = 3, which of the following represents the graph becoming more narrow?
Bess [88]
Functions A and C and D are translations - this means that they are exactly the same shape as f(x), but are displaced on the axes. A translation in the y-direction by k units is represented by f(x) + k, and a translation in the x-direction by k units is represented by f(x - k). This can be summarised in column vector notation:

A translation of the graph y = f(x), by the vector \left[\begin{array}{ccc}a\\b\end{array}\right] results in the graph defined by y - b = f(x - a). This is done by replacing x with (x - a) and y with (y - b). Finally it is rearranged to make y the subject, as is often the convention: y = f(x - a) + b.

Since the graph needs to change shape, this requires a 'stretch'. A stretch is performed by multiplying x or y by a constant, which here is k.

To stretch in the x-direction by a factor n, replace x with (1/n)x. Similarly to stretch in the y-direction by a factor n, replace y with (1/n)y.

For example to stretch y = f(x) by factor n in the x-direction, it would become y = f((1/n)x).

A simple quadratic graph like y = x^2 behaves slightly differently to most other graphs, in that it can narrowed by a stretch in the x or y direction. This means that a more convenient option is to perform a stretch in the y direction, since the multiplier lies outside the function notation. The stretching factor is 3, so we replace y with (1/3)y:

(1/3)y = f(x)
y = 3f(x)

Since k = 3, this becomes

y = kf(x)

... and hence the correct answer is B
6 0
3 years ago
Read 2 more answers
Which arrangement shows275, 5.36, 535, and 336 in order from least to greatest?
Vadim26 [7]

Answer:

5.36,275,336,535

Step-by-step explanation:

7 0
3 years ago
-3 +<br> (- 1/6) what is ansewe help asap
vichka [17]

Answer:

-3.16666666667

Step-by-step explanation:

3 0
3 years ago
Help help me help me help me
elena-s [515]

Answer:

Step-by-step explanation:

Basically your gonna break up both numbers into smaller numbers and add them to get the same answer

5 0
3 years ago
What are the zeros of the function g(x) = (x + 6) (x – 4)(x + 2) ?
vitfil [10]

9514 1404 393

Answer:

  x in {-6, -2, 4}

Step-by-step explanation:

The zero product rule tells you that a product will be zero if and only if one of the factors is zero. These binomial factors are zero when x has a value that is opposite the constant of the binomial.

  x +6 = 0   ⇒   x = -6

  x -4 = 0   ⇒   x = 4

  x +2 = 0   ⇒   x = -2

The zeros of the function are the x-values -6, -2, and 4.

5 0
3 years ago
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