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Elenna [48]
3 years ago
14

Which one please help y’all

Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0
I am pretty sure it’s numerators
AnnyKZ [126]3 years ago
3 0

Answer:

Numerator :)

Step-by-step explanation:

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4. Find the standard from of the equation of a hyperbola whose foci are (-1,2), (5,2) and its vertices are end points of the dia
Ad libitum [116K]

The <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

<h3>How to find the standard equation of a hyperbola</h3>

In this problem we must determine the equation of the hyperbola in its <em>standard</em> form from the coordinates of the foci and a <em>general</em> equation of a circle. Based on the location of the foci, we see that the axis of symmetry of the hyperbola is parallel to the x-axis. Besides, the center of the hyperbola is the midpoint of the line segment with the foci as endpoints:

(h, k) = 0.5 · (- 1, 2) + 0.5 · (5, 2)

(h, k) = (2, 2)

To determine whether it is possible that the vertices are endpoints of the diameter of the circle, we proceed to modify the <em>general</em> equation of the circle into its <em>standard</em> form.

If the vertices of the hyperbola are endpoints of the diameter of the circle, then the center of the circle must be the midpoint of the line segment. By algebra we find that:

x² + y² - 4 · x - 4 · y + 4= 0​

(x² - 4 · x + 4) + (y² - 4 · y + 4) = 4

(x - 2)² + (y - 2)² = 2²

The center of the circle is the midpoint of the line segment. Now we proceed to determine the vertices of the hyperbola:

V₁(x, y) = (0, 2), V₂(x, y) = (4, 2)

And the distance from the center to any of the vertices is 2 (<em>semi-major</em> distance, a) and the semi-minor distance is:

b = √(c² - a²)

b = √(3² - 2²)

b = √5

Therefore, the <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

To learn more on hyperbolae: brainly.com/question/27799190

#SPJ1

5 0
2 years ago
Question shown in images
Mars2501 [29]
Answer is 2 (answer choice a)
5 0
3 years ago
Read 2 more answers
238 +439 round you're answer to the. earest dollar​
Paha777 [63]

Answer:

677

Step-by-step explanation:

238 + 439 = 677

It is t possible to round it form the ones (dollar) place.

8 0
3 years ago
Cómo simplificar -3/4
Lunna [17]
No se puede simplificar ya. ✅
3 0
3 years ago
a metal alloy weighing 3 mg and containing 40% copper is melted and mixed with 2 mg of pure copper. what percent of the resultin
Oduvanchick [21]
64%, because 40% of 60% is 24%, and 2 mg of pure copper is 40% of the overall alloy, so add 24 and 40
4 0
3 years ago
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