1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
exis [7]
2 years ago
7

2.

Mathematics
1 answer:
Alex787 [66]2 years ago
4 0
I think the answer is 20
You might be interested in
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
1 year ago
At a toll booth, an attendant found that for every 5 vehicles that passed through the toll, 2 were trucks.
kompoz [17]

Answer:

Step-by-step explanation:

5-2=3

other vehicles:Trucks::3:2

3 0
3 years ago
[15 ÷ 5 • 3 + (2³ – 3)] + [4 • (36 – 3³)]
liubo4ka [24]

Answer:

50

Step-by-step explanation:

[15 ÷ 5 • 3 + (2³ – 3)] + [4 • (36 – 3³)]

[3 × 3 + (8 - 3)] + [4 × (36 - 27)]

(9 + 5) + (4 × 9)

14 + 36

50

3 0
3 years ago
Read 2 more answers
You are choosing a song for your dance recital. Song A has 11 beats in 10 seconds. Song B has 7 beats in 6 seconds. Which song h
Pachacha [2.7K]
By greater if you mean faster, then you are comparing the fractions 11/10 and 7/6. Finding a common denominator, which is thirty, we get the fractions 33/30 and 35/30. We can see that 35>33, making Song B faster. 
8 0
2 years ago
54x^3 +250y^3<br> in the sum of cubes<br> please helpppp
Slav-nsk [51]

Answer:

What is exactly the question?

4 0
3 years ago
Other questions:
  • Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a blue ma
    7·2 answers
  • Which of the following shows the correct solution steps and solution to 7x-4= -18?
    5·2 answers
  • Each fraction given below will make one of the comparisons in the chart true when the b is replaced with the fraction. Decide wh
    11·1 answer
  • The triangles are similar.<br> What is the value of x?<br> Enter your answer in the box
    15·1 answer
  • Jim is showing his work in simplifying (−8.5 + 6.1) − 1.3. Step 1: (6.1 − 8.5) − 1.3 Step 2: 6.1 − (8.5 + 1.3) Step 3: 6.1 − (9.
    9·1 answer
  • Median of 28, 30, 34, 35
    13·1 answer
  • Pls answer the question in the pic i will mark u as brainliest
    5·1 answer
  • Help ASAP pleaseee!!!!!!!
    7·2 answers
  • 9. Consider the diagram below. First, solve for x, then y.
    12·2 answers
  • An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more effic
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!