Answer: y<-3/2x+1 or C
Step-by-step explanation: The shaded region is below the indicated line therefore y is less than the slope which is -3/2 because rise/run
Answer:
Not similar
Step-by-step explanation:
Two polygons are similar if their corresponding side lengths are proportional to each other. In other words, the ratio of their corresponding side lengths should be the same.
Let's find the ratio of the corresponding side lengths:
3/5 = 3/5
4/12 = 1/3
5/13 = 5/13
3/5 ≠ 4/12 ≠ 5/13
The ratio of their corresponding side lengths are not equal, therefore, the two polygons are not similar to each other.
Answer:
651 - ( -13 ) = 664
Step-by-step explanation:
As we know when there is a minus sign we hv to change the sign of the number after it .....
Therefore... ( -13 ) will become ( + 13 )
Then we can solve the equation...
651 - ( -13 ) = 651 + 13 = 664
Hope this helps....
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Pls mark my ans as brainliest :)</em></u></h2>
Answer:
a. y = {x+1, x≤2; x+2, x>2}
Step-by-step explanation:
The open circle at (2, 4) means the function is not defined as y=x+2 at that point. Only one answer selection correctly uses the inequality symbol > for that part of the function definition.
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Comment on the other answer choices.
One selection (b) uses the region definitions x < 2 and x ≥ 2. That would put the open circle at (2, 3) and the filled circle at (2, 4)—not a match with the graph. The other function definitions (c, and d) have the relation defined as two different values at x=2. Such a relation is not a function.
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>
By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:
(x - h)² / a² + (y - k)² / b² = 1, where a > b (1)
Where:
- a - Length of the major semiaxis.
- b - Length of the minor semiaxis.
Now, we proceed to find the vertex and the lengths of the semiaxes:
a = 10 units.
b = 8 units.
Vertex
V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)
V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)
V(x, y) = (1.5, 1) + (- 4.5, 1)
V(x, y) = (- 3, 2)
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
To learn more on ellipses: brainly.com/question/14281133
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