What's a equation for $150 dollars for 50 T-Shirts
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The standard form of the equation of the hyperbola:
How did we get the values?
To write the standardform of the equation of a hyperbola, you need to rearrange the given equation into the following form:
Where (h, k) is the center of the hyperbola, and "a" and "b" are positive constants related to the shape and size of the hyperbola.
Start by completing the square for both the x and y terms:
1. Group the x terms and y terms separately:
4x² - 16x - 9y2 - 36y - 56 = 0
2. Complete the square for the x terms by adding and subtracting the appropriate constant inside the first bracket:
4(x² - 4x + 4) - 9y² - 36y - 56 = 0
3. Complete the square for the y terms by adding and subtracting the appropriate constant inside the second bracket:
4(x² - 4x + 4) - 9(y² + 4y + 4) - 56 + 36 = 0
4. Now, rewrite the equation and simplify:
4(x² - 4x + 4) - 9(y² + 4y + 4) - 20 = 0
5. Factor the squares:
4(x - 2)² - 9(y + 2)² - 20 = 0
6. Divide both sides by the constants to isolate the equation:
Now, you have the standard form of the equation of the hyperbola:
The center of the hyperbola is at (h, k) = (2, -2), "a" is the square root of 5, and "b" is the square root of 20/9.
learn more about standard form: brainly.com/question/19169731
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Answer:
(x-2)^2/3^2 - (y+2)^2/2^2 =1
Step-by-step explanation:
Plato
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U.S. senator
or state representative.
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Answer:
Local Commissioner
Step-by-step explanation:
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Answer:
U (1, 16 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ), then the midpoint M is
M = ( ,
) ← midpoint formula
let (x₁, x₂ ) = U (x, y ) and (x₂, y₂ ) = V (13, 8 )
substitute these values into the midpoint formula and equate to the corresponding coordinates of M (7, 12 )
= 7 ( multiply both sides by 2 )
x + 13 = 2 × 7 = 14 ( subtract 13 from both sides )
x = 1
and
= 12 ( multiply both sides by 2 )
y + 8 = 2 × 12 = 24 ( subtract 8 from both sides )
y = 16
coordinates of U = (1, 16 )
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Answer:
4
Step-by-step explanation:
y = -x + 4
if y = 0, then
0 = -x + 4
x = 4