Some help would be appreciated
1 answer:
max = 5, min = -1
mid = (5-1)/2 = 2
{observe for sinx,
max = 1, min, = -1, mid=0}
since mid=2 we can let the function
y=a•sin(bx+c)+2
2a=max-min=6
a=3
y=3sin(bx+c)+2
the graph cross (0,2) so
2=3sin(c)+2
3sin(c)=0
c=0 or c=π
since the graph go down after (0,2), then we choose c=π.
max=5 with x=-1, so
5=3sin(-b+π)+2
sin(-b+π)=1
b=π/2
at last the get the exact equation, that's
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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:
Answer:
The equal sides' length = 10
Third side length = 18
Step-by-step explanation:
Let the two equal sides' length be "x"
Let the third side length be "y"
Third side (y) is 2 LESS THAN TWICE the equal side, so we can write:
y = 2x - 2
The perimeter is 38. The perimeters is the sum of all three sides. So we can write:
x + x + y = 38
Replacing y with 2nd equation, we have:
x + x + (2x - 2) = 38
Now, we can solve this for x first:
Now, y is:
y = 2x - 2
y = 2(10) - 2
y = 20 - 2
y = 18
The equal sides' length = 10
Third side length = 18