Answer:
Answer:
x = 2
Step-by-step explanation:
The vertex form of the parabola is given by
Comparing this equation with vertex form of a parabola , where (h,k) is the vertex
h = 2
k = 3
Hence, vertex is (2,3)
Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.
Hence, axis of symmetry of the parabola is given by
x = h
x = 2
Third option is correct.
Pythagorean Theorem
x^2 = 15.7^2 -7.8^2
x^2 =
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185.65
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x =
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13.6253440324
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Answer is C
Answer:
A. 2x+4y=20 B. x+6y=10 C. 3x+3y=13 D. 4x+2y=20
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:
115
Step-by-step explanation:
The angle is vertically opposite to 115. vertically opposite angles are equal
