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lorasvet [3.4K]
3 years ago
7

Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3

Mathematics
1 answer:
stepladder [879]3 years ago
3 0

Answer:

When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:

(K*a, K*b)

In this case, we can find the original coordinates of the endpoints of the original segment.

Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.

The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).

The first endpoint is (6, 9) and (12, 12)

Now we apply a dilation with a scale factor K = 2/3.

then we get the points:

((2/3)*6, (2/3)*9) = (4, 6)

and the other point is:

((2/3)*12, (2/3)*12) = (8, 8)

Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)

The segment can be seen in the graph below.

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Answer:

<h2>The right option is twelve-fifths</h2>

Step-by-step explanation:

Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

The right option is therefore twelve-fifths

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3 years ago
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Consider the triangle
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Step-by-step explanation:

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The equation of a line perpendicular to y = 3 and passes through the point (24, -56).
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Answer:

x = 24

Step-by-step explanation:

The given line y = 3 is a horizontal line with slope zero (0).

We wish to find the equation of a line that is perpendicular to y = 3.  Such a line would be a vertical one.  Vertical lines do not have slopes defined (due to division by zero).

Thus the general form of the equation of this new line is x = c.

This new line passes through (24, -56).  Thus, x must be 24:  x = 24

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in an election between two candidates one got 55% of the total valid votes 20% votes were invalid if the total number of votes w
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Answer:

25%- 1875 Votes

<em>7500 x 0.55 = 4125  (</em><em>first candite valid votes</em><em>)</em>

<em>7500 x 0.20 = 1500 (</em><em>invalid</em><em>)</em>

<em>first candite valid votes</em><em> </em><em>(</em><em>55</em><em>) + invalid votes (</em><em>20</em><em>) = 75% of total votes </em>

<em>first candite valid votes</em><em> </em><em>(</em><em>4125</em><em>) + invalid votes (</em><em>1500 </em><em>) = 5625 of total votes </em>

<em />

<em>100 (</em><em>total</em><em> </em><em>percent of votes</em><em>) - 75 (</em><em>total percent of votes</em><em>) = 25% Votes Left</em>

<em>7500 (</em><em>total</em><em> </em><em>number of votes</em><em>) - 5625 (</em><em>total number of votes</em><em>) = 1875 Votes Left</em>

<em>7500 x 0.25 = 1875 (</em><em>valid votes for the other candite</em><em>)</em>

<em>          </em>

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