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In the standard equation for a hyperbola that opens left and right the value b equals half the length of the hyperbola's transverse axis?
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∙ 11y ago
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∙ 11y ago
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In the standard equation for a hyperbola that opens up and down the value b equals half the length of the hyperbola's transverse axis?
true
What is the equation for a hyperbola with transverse axis of length 24 and centered at the origin?
The standard form of the equation of a hyperbola with center at the origin isx2/a2 - y2/b2 = 1 where the transverse axis lies on the x-axis,ory2/a2 - x2/b2 = 1 where the transverse axis lies on the y-axis.The vertices are a units from the center and the foci are c units from the center.For both equations, b2 = c2 - a2. Equivalently, c2 = a2 + b2.Since we know the length of the transverse axis (the distance between the vertices), we can find the value of a (because the center, the origin, lies midway between the vertices and foci).Suppose that the transverse axis of our hyperbola lies on the x-axis.Then, |a| = 24/2 = 12So the equation becomes x2/144 - y2/b2 = 1.To find b we need to know what c is.
How do you turn a slope intercept equation into a standard equation?
You place X and Y on the same side to get a standard equation.
What is standard form linear equation's?
A standard form of a linear equation would be: ax + by = c
What is the standard equation?
There is no such thing as a standard equation. Furthermore, there are standard forms - all different - for the equation of a line, a circle, a plane, a parabola, an ellipse and so on. the question needs to be more specific.
In the standard equation for a hyperbola that opens up and down the value b equals half the length of the hyperbola's transverse axis?
true
What is the definition and equation of rectangular hyperbola?
Defn: A hyperbola is said to be a rectangular hyperbola if its asymptotes are at right angles. Std Eqn: The standard rectangular hyperbola xy = c2
What is the equation for a hyperbola with transverse axis of length 24 and centered at the origin?
The standard form of the equation of a hyperbola with center at the origin isx2/a2 - y2/b2 = 1 where the transverse axis lies on the x-axis,ory2/a2 - x2/b2 = 1 where the transverse axis lies on the y-axis.The vertices are a units from the center and the foci are c units from the center.For both equations, b2 = c2 - a2. Equivalently, c2 = a2 + b2.Since we know the length of the transverse axis (the distance between the vertices), we can find the value of a (because the center, the origin, lies midway between the vertices and foci).Suppose that the transverse axis of our hyperbola lies on the x-axis.Then, |a| = 24/2 = 12So the equation becomes x2/144 - y2/b2 = 1.To find b we need to know what c is.
What does each variable represent in standard form?
There are different standard forms for different things. There is a standard form for scientific notation. There is a standard form for the equation of a line, circle, ellipse, hyperbola and so on.
How do you write the equation for each hyperbola in standard form when the equation is y2-3x2 plus 6x plus 6y equals 18?
y2-3x2+6x+6y= 18 is in standard form. The vertex form would be (y+3)2/24 - (x-1)2/8 = 1
How do you turn a slope intercept equation into a standard equation?
You place X and Y on the same side to get a standard equation.
What is standard form linear equation's?
A standard form of a linear equation would be: ax + by = c
What is the standard equation?
There is no such thing as a standard equation. Furthermore, there are standard forms - all different - for the equation of a line, a circle, a plane, a parabola, an ellipse and so on. the question needs to be more specific.
What is the standard form of an equation?
The standard form of an equation is Ax + By = C. In this type of equation, x and y are variables while A, B, and C are integers.
In the standard equation for an ellipse b is half the length of the what axis?
In the standard equation for an ellipse, b is half the length of the _____ axis.Answer:
What is a quadratic equation in standard form called?
It is still called a quadratic equation!
What is the standard equation of the parabola y3(x-4)2-22?
the standard form of the equation of a parabola is x=y2+10y+22
