Based on the above:
The slope of P'Q' is = -3/2
The length of P'Q' is approximately =
<h3>What is the polygon about?</h3>
The slope of P'Q'
= -6/4 = -3/2
The length of P'Q' =
P'Q' =
=
=
Therefore;
P'Q' =
P'Q' = x
=
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Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
1) no
2)yes
3)yes
1)no
2)yes
3)yes
4)no
the factors of 12 are 1,2 ,4 , 6,12
the factors of 25 are 1,5,25
the factors of 48 are 1,2,3,4,6,8,12,16,24,48
no because 64 is not a factor of 6 and there will be some of the plastic
miniature dinosaurs left over
the factors of 42 are 1,2,3,6,7,14,21,42
i can give you everything in pairs at the comment section