akiko's dog has three puppies they weigh 2.6 pounds 2.74 pounds and 3.1 pounds how much more does the heaviest puppy weigh than
2 answers:
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Option A: is the third vertex
Option B: is the third vertex.
Explanation:
The two vertices of the right triangle are and
The third vertex of the right triangle can be determined by plotting the points in the graph.
Option A:
By plotting the points ,
and the third vertex
in the graph, the the hypotenuse of the triangle passes through the vertices
and
The legs of the triangle passes through the vertices ,
and
,
Hence, the third vertex forms a right triangle.
Therefore, Option A is the correct answer.
Option B:
By plotting the points ,
and the third vertex
in the graph, the hypotenuse of the triangle passes through the vertices
and
The legs of the triangle passes through the vertices ,
and
,
Hence, the third vertex forms a right triangle.
Therefore, Option B is the correct answer.
Option C:
By plotting the points ,
and the third vertex
in the graph, we can see that the three vertices does not make a right angled triangle.
Hence, the third vertex does not form a right triangle.
Therefore, Option C is not the correct answer.
Option D:
By plotting the points ,
and the third vertex
in the graph, we can see that the three vertices does not make a right angled triangle.
Hence, the third vertex does not form a right triangle.
Therefore, Option D is not the correct answer.
Answer:
The answer is below
Step-by-step explanation:
The co-vertices of an ellipse are the endpoints of the minor axis. The equation for an ellipse is given by:
Where (h, k) is the center of the ellipse, (h, k±b) is the co-vertices, (h ± a, k) is the vertices, (h ± c, k) is the foci and c² = a² - b²
Since the center is the origin, hence (h, k) = (0, 0). i.e h = 0, k = 0.
Foci = (h ± c, k) = (± c, 0) = (±3, 0). c = 3
co-vertices = (h, k±b) = (0, ±b) = (0, ±4). b = 4
c² = a² - b²
a² = c² + b²
a² = 3² + 4² = 25
a = 5
Therefore the equation of the ellipse is: