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professor190 [17]
3 years ago
9

The coordinates of ΔABC are (-3, 4), (0, 4), and (2, 5). The coordinates of ΔA'B'C' are (-1.5, 2), (0, 2) and (1, 2.5). How do y

ou know that the transformation is a dilation? A) The coordinates of ΔABC have been multiplied by a scale factor of 0.5. B) The coordinates of ΔABC have been multiplied by a scale factor of 2. C) The signs of the coordinates of ΔABC have remained the same. D) The coordinates of ΔABC have been divided by 1 2 .
Mathematics
1 answer:
Korvikt [17]3 years ago
8 0
Answer: Choice A
The coordinates of triangle ABC have been multiplied by a scale factor of 0.5

In other words, the coordinates have been cut in half or they divided each coordinate value over 2
eg: (-3,4) --> (-1.5, 2)
since -3/2 = -1.5 and 4/2 = 2

The resulting figure is smaller. Specifically the linear dimensions are half that as the original.

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The x - intercept of 5x - 3y = 15 is (3, 0)

The y -intercept of 5x - 3y = 15 is (0, -5)

<h3><u>Solution:</u></h3>

Given equation is 5x - 3y = 15

<em><u>To find: x - intercept and y -intercept</u></em>

The x intercept is the point where the line crosses the x axis. At this point y = 0

The y intercept is the point where the line crosses the y axis. At this point x = 0.

<em><u>Finding x - intercept:</u></em>

To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x

So put y = 0 in given equation

5x - 3(0) = 15

5x = 15

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So the x - intercept is (3, 0)

<em><u>Finding y - intercept:</u></em>

To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y

So put x = 0 in given equation

5(0) - 3y = 15

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y = -5

So the y - intercept is (0, -5)

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