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Zielflug [23.3K]
3 years ago
6

What is the area of the parallelogram shown?

Mathematics
1 answer:
salantis [7]3 years ago
7 0

Answer:

What is the Parallelogram?

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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
Together teammates Pedro and Ricky got 2669 base hits last season Pedro had 275 more hits than Ricky how many hits did each play
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Pedro had 1,609.5 and Ricky had 1,074.5.
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3 years ago
5. Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately norma
Triss [41]

Answer:

percent (%) of ancient prehistoric thinner than 3 is 0.0013

Step-by-step explanation:

Given data

mean =  5.1 millimeters (mm)

standard deviation = 0.7 mm

to find out

percent (%) of ancient prehistoric thinner than 3

solution

we have given mean and SD

so Z will be = x -mean  / SD

Z = ( x - 5.1 ) / 0.7

so P( x < 3 ) = P ( (x - 5.1 ) / 0.7  <  ( 3 - 5.1 ) / 0.7 )

P( Z  = ( 3 - 5.1 ) / 1.5 )

P( Z  =  -3 ) = 0.0013

percent (%) of ancient prehistoric thinner than 3 is 0.0013

4 0
3 years ago
What is the value of 0.1561 rounded to the nearest tenth?
Ainat [17]

We have to round the value of 0.1561 to the nearest tenth.

The number after decimal is the number at tenth place. Consider the number to the right of the tenths place and use the number to determine if you will round up or stay the same. Notice that the number to the right of tenth place is more than or equal to 5 or less than 5. If that number is greater than or equal to 5, then the number will round up but if that number is less than 5, then the number will not round up. It will remain same.

Let us consider the given number 0.1561

The number at tenths place is 1

The number after the tenths place is 5 (which is either greater than or equal to 5)

So, the number will round up to 0.2

8 0
3 years ago
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How many solutions does this system have <br> 2x+3y=-3<br> 3x+5y=-9
olga nikolaevna [1]

Step-by-step explanation:

please mark me as brainlest

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2 years ago
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