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Zielflug [23.3K]
3 years ago
14

Graph the image of the figure after a dilation with a scale factor of 14 centered at (5, −5) .

Mathematics
2 answers:
kramer3 years ago
5 0
Check the attached file for the answer. Correction in the problem it is 1/4 not 14.

snow_lady [41]3 years ago
4 0

Given:

Scale factor(k) = 1/4,  and centered at (5, -5).

Labelled the given figure as A, B and C.

The coordinates of the given triangle ABC are;

A = (-3, 7)

B = (-7, -5)

C = (9, 3)

To find the image of the figure after a dilation with scale factor 1/4 centered at (5, -5).

The rule of dilation with scale factor 1/4 and centered at (5, -5) is given by;

(x, y) \rightarrow (\frac{1}{4}(x-5)+5, \frac{1}{4}(y+5)-5)

or

(x, y) \rightarrow (\frac{1}{4}x+\frac{15}{4}, \frac{1}{4}y-\frac{15}{4} )

The coordinates of the image of the figure after dilation are;

A(-3, 7) \rightarrow A'(\frac{1}{4}(-3)+\frac{15}{4}, \frac{1}{4}(7)-\frac{15}{4} )

A(-3, 7) \rightarrow A'(3, -2)

B(-7, -5) \rightarrow B'(\frac{1}{4}(-7)+\frac{15}{4}, \frac{1}{4}(-5)-\frac{15}{4} )

B(-7, -5) \rightarrow B'(2, -5)

and

C(9, 3) \rightarrow C'(\frac{1}{4}(9)+\frac{15}{4}, \frac{1}{4}(3)-\frac{15}{4} )

C(9, 3) \rightarrow C'(6, -3)

As, you can see the graph as shown below in the attachment.

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enyata [817]

Answer:

a) Null and alternative hypotheses are:

H_{0}: mu=183 days

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Step-by-step explanation:

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Null and alternative hypotheses are:

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Type II error happens if we fail to reject the null hypothesis, when actually the alternative hypothesis is true.

That is if we conclude that mean life of the batteries of the company when it is used in a wireless mouse is at most 183 days, but actually mean life is 190 hours, we make a Type II error.

4 0
4 years ago
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cestrela7 [59]
Notice that the terms in parentheses on both sides of the equation are added to 4.

(3x + 4) + 4 = (5x - 4) + 4


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8 = 2x


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4 is the only value that satisfies the statement.
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Answer:

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Step-by-step explanation:

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(I hope this is the answer)

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