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If triangle ABC undergoes a dilation of scale factor 3 centered at the origin, the coordinate of the image of point B is known to be option D. (6,9).
<h3>What is the dilation about?</h3>The term Dilation is known to be a kind of a transformation, that is used to change the size of an object.
Note that Point B has coordinates of (2, 3)
So the Dilation factor 3 will alter the coordinates as:
(2*3, 3*3)
= (6, 9)
Hence, If triangle ABC undergoes a dilation of scale factor 3 centered at the origin, the coordinate of the image of point B is known to be option D. (6,9).
See full question below
If triangle ABC undergoes a dilation of scale factor 3 centered at the origin, what will be the coordinate of the image of point B?
A. (6,3)
B. (2,9)
C. (5,6)
D. (6,9)
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Based on the construction, the length of the bridge deck is given by r = √(x² + y²) units.
<h3>What is a deck?</h3>A deck is also referred to as the roadway and it can be defined as the functional area which is designed and developed to allow automobile vehicles and pedestrians to cross highways, valleys, and water bodies.
In order to determine the length of the bridge deck, we would apply Pythagorean's theorem as follows:
r² = x² + y²
<u>Where:</u>
- r is the length of the bridge deck.
- a is the adjacent side (horizontal distance).
- b is the opposite side (rise of the bridge).
Making r the subject of formula, we have:
r = √(x² + y²)
Read more on Pythagorean theorem here: brainly.com/question/16176867
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