If
is the variable of the horizontal axis, then you can solve for
to get the equation of the line in slope-intercept form in the
plane:
i.e. a line with slope
through the origin, which means it is contained in the first and third quadrants. Since the terminal side of
has a negative sine, the angle must lie in the third quadrant.
Because the slope of the line is
, you can choose any length along the line to make up the hypotenuse of a right triangle with reference angle
. Any such right triangle will have
, regardless of whether the angle is the first or third quadrant. But since
is known to lie in the third quadrant, and so
and
are both negative, you have
This is the standard form equation 
What is the ellipse?
The equation for an ellipse is typically written as x² a² + y² b² = 1. x² a² + y² b² = 1. An ellipse with its origin at the center is defined by this equation. The ellipse is stretched further in both the horizontal and vertical directions if a > b, a > b, and if b > a, b > a, respectively.
The standard form of the equation of an ellipse with center (h, k)and major axis parallel to the x-axis is:
where,
a > b
the length of the major axis is 2a
the coordinates of the vertices are (h±a,k)
the length of the minor axis is 2b
the coordinates of the co-vertices are (h,k±b)
the coordinates of the foci are (h±c,k),
where c² = a² − b².
so,
Hence, this is the standard form equation .
To learn more about ellipse, visit
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Answer:
X=4
Step-by-step explanation:
Figure B is .8 times the size of Figure A, so to find the value of x you would take the scale factor and multiply it by 5 in this case.
Answer:
90
Step-by-step explanation:
x
−
12
y
=
−
210
=
=
−
210
x
−
6
y
=
90
=
=
90
x
=
=
90
Answer:
1.25
Step-by-step explanation:
1/2 of 2.5 is 1.25
Think of it as the following
250 divided by 2 is 125 because 125+125=250
