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3 years ago

Describe the sequence of transformations for which Triangle B is the image of Triangle A.

Mathematics

2 answers:

Helga [31]3 years ago

7 0

Answer:

reflection in x = 1
translation up 2

Step-by-step explanation:

The orientation of B is the opposite of the orientation of A, so a reflection is involved. The smallest angle is at the bottom in both figures, and the largest angle is on the right in A and the left in B, so the reflection is left-right, rather than up-down.

The point midway between the largest angle vertices is on the vertical line x=1, so that line can be used for reflection. Reflecting A across that line will put its large-angle vertex at (3, 0), so a translation up 2 units is also needed.

The reflection on x=1 and translation up 2 can be done in either order.

_____

<em>Additional comment</em>

A combination of reflection and translation is called a "glide reflection." Our choice of x = 1 as the line of reflection takes care of any horizontal translation that would be required if a different vertical line were used. For example, reflection across the y-axis would require a subsequent translation up 2 and right 2.

sergejj [24]3 years ago

7 0

Answer:

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000. Jason’s sample consiste

UkoKoshka [18]

Answer: Last Option is correct.

Step-by-step explanation:

Since we have given that

Total number of population = 25000

Percent of sample of Jason = 0.24%

Percent of sample of Yolanda's = 0.32%

So, Number of population according to Jason's sample is given by

$\frac{0.24}{100}\times 25000\\\\=0.0024\times 25000\\\\=60$

Number of population according to Yolanda's sample is given by

$\frac{0.32}{100}\times 25000\\\\=0.0032\times 25000\\\\=80$

Both the sample can be used to make inferences about the population

Hence, Last Option is correct.

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Bx%7D%5E%7B3%20%7D%20%20%2B%20%20%7B3x%7D%5E%7B2%7D%20-%209x%20%2B%205"

9966 [12]

Answer:

$f(1) = {(1)}^{3} + 3 {(1)}^{2} - 9(1) + 5 \\ (x - 1) = 0 \rightarrow \: x = 1 \\\frac{{x}^{3 } + {3x}^{2} - 9x + 5}{x - 1} = {x}^{2} + 4x - 5 \\ (x + 5)(x - 1) = 0 \\ x = - 5 \: or \: x = 1 \\ \color{red}\boxed{x_{1} = 1} \\\color{yellow} \boxed {x_{2} = 1} \\ \color{green}\boxed{x_{3} = - 5}$

The answer would be C and F

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2 years ago

Turn 12.5 into a decimal

jek_recluse [69]

12.5 is already a decimal...

If you mean 12/5, then it is 2 and 2/5, which is 2.4.

If you mean 12 x 5, then it's 60.

If you mean fractions equivalent to 12.5 then it's 25/2.

If you mean decimals then 12.50, or 12.500.

Hope this helps

5 0

4 years ago