A coordinate system in geometry is a system that employs one or more integers. The coordinates of point H are (66, -19).
<h3>What are coordinates?</h3>
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5). Therefore, the difference between any two coordinates can be written as,
Difference
x ⇒ 9 - (-3) = 9 + 3 = 12
y ⇒ 5 - 9 = -4
Now, since the point are at equal distances, therefore, the difference in their coordinates will be the same as well,
The coordinates of point C are,
x = 9 + 12 = 21
y = 5 + (-4) = 1
- The coordinates of point C are (21, 1).
- The coordinates of point E are (39, -7).
- The coordinates of point H are (66, -19).
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The domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
The set of ordered pairs is given below.
{(-3, 2), (-2, 1), (-1,0), (0, -1)}
Then the line function will be
y – 0 = [(– 1 – 0)/(0 + 1)] (x + 1)
y = – x – 1
x + y + 1 = 0
Then the domain of the function will be (-∞, ∞) and the range of the function will be (-∞, ∞).
More about the domain and range link is given below.
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<u>The</u><u> </u><u>subtraction</u><u> </u><u>property</u><u> </u><u>of</u><u> </u><u>equality</u>
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Answer:
x ≈ 17.3
Step-by-step explanation:
The triangles are all similar, so the side lengths are proportional.
short side / hypotenuse = x/30 = 10/x
x² = 300 . . . . . . cross multiply
x = 10√3 . . . . . . take square root
x ≈ 17.3
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