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
Ugo [173]
3 years ago
9

Given the following equation of the hyperbola, what are the x-values of the vertices? x^2/4 - y^2/49 = 1 is it 2 and -2?

Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

Answer:

  yes, ±2

Step-by-step explanation:

The x-intercepts are found by setting y=0 and solving for x:

  x^2/4 = 1

  x^2 = 4

  x = ±√4

  x = ±2

The x-values of interest are -2 and +2.

You might be interested in
The _____ of two sets X and Y is denoted by X-Y​
lidiya [134]

Answer:

Cartesian product

Step-by-step explanation:

The Cartesian product of two sets, X and Y, denoted by X × Y, is the set of all ordered pairs (x, y), where x is an element of X and y is an element of Y: 8 (2.4.1) X × Y = { (x, y) ∣ x ∈ X ∧ y ∈ Y } For example, if Children = { Peter, Mark, Mary }, and Parents = { Paul, Jane, Mark, Mary }, then

5 0
2 years ago
Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8.
AlladinOne [14]

Answer:

(1,6) & (7,0)

Step-by-step explanation:

y = -x + 7

y = -0.5(x - 3)² + 8

To solve the system, solve these two equations simultaneously

-x + 7 = -0.5(x - 3)² + 8

-x + 7 = -0.5(x² - 6x + 9) + 8

-x + 7 = -0.5x² + 3x - 4.5 + 8

0.5x² - 4x + 3.5 = 0

x² - 8x + 7 = 0

x² - 7x - x + 7 = 0

x(x - 7) - (x - 7) = 0

(x - 1)(x - 7) = 0

x = 1, 7

y = -1 + 7 = 6

y = -7 + 7 = 0

(1,6) (7,0)

Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)

8 0
3 years ago
HELPPP PLEASE <br> i need a fast reply<br> asking for a friend in need of desperate help :((((
weqwewe [10]

Answer:

y =14

11x = 11*3.5 =38.5

3x+2y = 11x = 38.5

Step-by-step explanation:

The perimeter of a triangle is the sum of all three sides

3x+2y + 11x+y = 91

Combine like terms

14x +3y = 91

The lines mean the sides are equal

3x+2y = 11x

Simplify

Subtract 3x from each side

3x-3x+2y = 11x-3x

2y = 8x

Divide by 2

2y/2 = 8x/2

y = 4x

Substitute 4x in the first equation every time you see y

14x +3y = 91

14x +3(4x) = 91

14x+12x=91

26x = 91

Divide by 26

26x/26 =91/26

x = 3.5

Now we can find y

y = 4x

y = 4(3.5)

y = 14

We know x and y we can find the length of each of the sides

y =14

11x = 11*3.5 =38.5

3x+2y = 11x = 38.5

8 0
3 years ago
Please help +25 points
mestny [16]
The answer is D.
Hope I helped
8 0
2 years ago
8/x = 32 <br> ..................
krok68 [10]

Answer:

Step-by-step explanation:

x= 1/4

6 0
3 years ago
Other questions:
  • -6.56 × 14.2 = !!!!!
    11·1 answer
  • Find an equation of the line containing the centers of the two circles whose equations are given below.
    8·1 answer
  • Discount on LCD TV is $240.<br><br> Sale Price is $1575.00<br><br> What was the list price?
    10·1 answer
  • Sienna published 2/3 of the poems she wrote in a book. Additionally, published 4 different poems in a newspaper. The total numbe
    9·1 answer
  • Exterior angle shown, solve for x.
    12·1 answer
  • (-3/7) divided by (-1 1/14)<br>hurry!
    6·1 answer
  • With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress?
    5·1 answer
  • HELP ME 10 POINTS!!!!!!
    8·2 answers
  • The stock price of the company was $38. The stock price fell to $12.60. Which is the closest to the percent decrease in this sto
    5·1 answer
  • Divide : (8a^2b^4 - 20a^4b^5 + 48a^6b^6) by 4a^2b^4​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!