Answer:
The answer is 57.0095
Step-by-step explanation:
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
Answer:
A
Step-by-step explanation:
Measure of major arc=360°-135° (since one circle adds up to 360)
Major arc=225°
Answer:
Step-by-step explanation:
18=2×3×3
48=2×2×2×2×3
G.C.F.=2×3=6
18+48=66
6×11=66
Answer:
x=−44 + 3y
x=
Step-by-step explanation:
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