<span> we have that
standard form of equation for parabola:
(x-h)^2=-4p(y-k)
(h,k) --------->being the (x,y) coordinates of the vertex.
Parabola opens downwards because focus is below vertex on the axis of symmetry.
For given problem:
</span><span>vertex: (-3,2)
axis of symmetry: x=-3
p=distance from vertex to focus on the axis of symmetry=2-(-1)=3
4p=12
Directrix: y=2+p=5
Equation:
(x+3)^2=-12(y-2)
the answer is </span>(x+3)^2=-12(y-2)
Since 93p+84=85
subtract 84 from both sides
93p=1
p=(1/93)
In the general case, it is (x, y+3), where y = f(x).
5√2 · 9√6
Simplify.
5 × 9 √ 2 x 6 ⇒ Multiply 2 × 6.
5 × 9 √12
Simplify √12 to 2√3.
5 × 9 × 2√3 ⇔ Multiply
90√3
Therefore, the <u>correct alternative</u> is <u>option "B".</u>
The whole length of the poster is 4 feet. There are three people who will paint an equal length, so this means that we need to divide the 4 feet of the poster between 3 people.
4 ÷ 3 <span>≈ 1.3
Each student will paint 1.3 feet, or 1 foot and 4 inches of the poster.</span>