Find the following angle measures. mEAD = ° mCAB = °
2 answers:
<u>Part 1)</u> Find m∠EAD
we know that
m∠EAD+m∠DAF+m∠BAF= ----> by supplementary angles
solve for m∠EAD
m∠EAD=-(m∠DAF+m∠BAF)
in this problem we have
m∠DAF=
m∠BAF=
substitute in the formula above
m∠EAD=
therefore
<u>the answer part 1) is </u>
m∠EAD=
<u>Part 2)</u> Find m∠CAB
we know that
m∠CAB+m∠BAF= --------> by supplementary angles
solve for m∠CAB
m∠CAB=-m∠BAF
in this problem we have
m∠BAF=
substitute in the formula above
m∠CAB=
therefore
<u>the answer part 2) is</u>
m∠CAB=
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Answer:
The equation of a parabola is
Step-by-step explanation:
(h,k) is the vertex and (f,k) is the focus.
Thus, f = 1, k = −4.
The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.
Solving the system, we get h = 3/2, k = -4, f = 1.
The standard form is:
The general form is:
The vertex form is:
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.
The focal length is the distance between the focus and the vertex: 1/2.
The focal parameter is the distance between the focus and the directrix: 1.
The latus rectum is parallel to the directrix and passes through the focus: x = 1.
The length of the latus rectum is four times the distance between the vertex and the focus: 2.
The eccentricity of a parabola is always 1.
The x-intercepts can be found by setting y = 0 in the equation and solving for x.
x-intercept:
The y-intercepts can be found by setting x = 0 in the equation and solving for y.
y-intercepts: