All categories

3 years ago

HELP Which equations represent hyperbolas?

Mathematics

2 answers:

MissTica3 years ago

7 0

An elliptical equation is in the form
Ax^2+Bx+Cy^2+Dy+E=0
the equation is a Hyperbola. When x and y are both squared, and exactly one of the coefficients is negative and exactly one of the coefficients is positive.
1-49x^2-98x-64y^2+256y-2831=0
2-4x^2+32x-25y^2-250y+589=0
3-81x^2+512x-64y^2-324y-3836=0

Hoochie [10]3 years ago

5 0

Answer: The required equations of hyperbolas would be

$49x^2-98x-64y^2+256y-2831=0\\\\4x^2+32x-25y^2-250y+589=0\\\\81x^2+512x-64y^2-324y-3836=0$

Step-by-step explanation:

Since we know that

The general equation for a conic section:

$Ax^2+Bxy+Cy^2+Dx+Ey+F=0$

In case of hyperbola, we get that

$Discriminant=B^2-4AC>0$

According to this, both x and y are squared.

And one of the coefficient of x and y must be positive and one of the coefficient of x and y must be negative.

So, the required equations of hyperbolas would be

$49x^2-98x-64y^2+256y-2831=0\\\\4x^2+32x-25y^2-250y+589=0\\\\81x^2+512x-64y^2-324y-3836=0$

You might be interested in

Which value is the 10th term in the sequence: -62, -48, -34, -20, -6....?

Karolina [17]

B) 64, because all these numbers have a difference of 14, and it you keep going, the 10th term will be 64.

8 0

4 years ago

Read 2 more answers

a line passes through (9, –9) and (10, –5).write an equation for the line in point-slope form. rewrite the equation in standard

Cerrena [4.2K]

The equation of the line in point-slope form is given by:
$y-yo = m (x-xo)
$
Where,
(xo, yo): point that belongs to the line
m: slope of the line
The slope is given by:
$m = \frac{y2-y1}{x2-x1}$
Substituting values:
$m = \frac{-5-(-9)}{10-9}$
Rewriting:
$m = \frac{-5+9}{10-9}$
$m = \frac{4}{1}$
$m=4$
Now we choose an ordered pair:
$(xo, yo) = (10, -5)
$
Substituting values we have:
$y-(-5)=4(x-10)$
$y+5=4(x-10)$
We now rewrite the equation in its standard form:
$y = mx + b
$
Where,
b: cut with the y axis.
We have then:
$y = 4x - 40 - 5

y = 4x - 45$
Answer:
point-slope form:
$y+5=4(x-10)$
or
$y+9=4(x-9)$
standard form
$y = 4x- 45$

3 0

4 years ago

which of the following must be true for an expression to be a difference of two squares a.all variables are raised to an even po

Andrej [43]

Answer:

A.all variables are raised to an even power.

B. there are only two terms.

Step-by-step explanation:

An example of an expression that is a difference of two squares is:

= a² - b²

In this case;

Where both terms have an even power and there are only two terms.

5 0

3 years ago

Dillard's checking account charges a $13.25 monthly service fee and a $0.24 per check fee. if Dillard writes 18 check per month,

Arturiano [62]

Answer:

C. Yes, because his monthly fees are currently greater than $17.50.

Step-by-step explanation:

To find out if Dillard will benefit from changing to a checking account that charges $17.50 with no per check fee, we first need to calculate how much he currently spends.

Since Dillard write 18 checks per month, we need to multiply that by $0.24 and add the total value to his current monthly service fee.

18 x 0.24 = $4.5

Now that we know how much he spends for all the 18 check a month we just add his monthly service fee to get his total amount.

$4.5 + $13.25 = $17.75

The other checking account charges $17.50 per month without a service fee, therefore:

$17.75 > $17.50

So Dillard with benefit from changing his checking account.

4 0

3 years ago

(-3.6)-45.19-(-27.033)

patriot [66]

-21.757 because it is right

5 0

3 years ago