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Mathematics

1 answer:

rewona [7]3 years ago

5 0

Answer:

Range: [-5, 0]

General Formulas and Concepts:

Algebra I

Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, the line's y-values span from -5 to 0. Since both are closed dot, they are inclusive in the range:

[-5, 0] or -5 ≤ y ≤ 0

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A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t

yan [13]

Answers:
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

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3 years ago

Read 2 more answers

One researcher wishes to estimate the mean number of hours that high school students spend watching tv on a weekday. a margin of

PtichkaEL [24]

Margin of error, e = Z*SD/Sqrt (N), where N = Sample population

Assuming a 95% confidence interval and substituting all the values;
At 95% confidence, Z = 1.96

Therefore,
0.23 = 1.96*1.9/Sqrt (N)

Sqrt (N) = 1.96*1.9/0.23

N = (1.96*1.9/0.23)^2 = 262.16 ≈ 263

Minimum sample size required is 263 students.

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3 years ago

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A cylinder holds 27.72 litres of water,when full.Find the hieght of the cylinder if the diameter is 42cm

krek1111 [17]

Answer:

27.72litres=27.72×1000 cm^3

(¡)Height of cylinder=27720×7/(22×21^2)=20cm

Step-by-step explanation:

(¡)First convert litres in to cm^3 take it as the volume of the cylindrical container

(¡¡)Then use V=22/7×r^2×h equation and substitute the values to V and r. Then find the value of h

#V=27.72×1000 (V= volume)

# r = 42/2=21 (r = radius)

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3 years ago

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Musya8 [376]

The answer you already have selected in the image is correct. Even eyeballing it, you can see that the smaller shape fits into the larger shape 4 times.

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3 years ago