Answer:
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Answer:
The length of side PS is just the distance from point P to point S.
Point P (-2, 4)
Point S (3, 4)
So the length is the distance from -2 to 3, since the y coordinate is the same for both. The distance from -2 to 3 is 5 units.
So, PS is 5 units long.
Let me know if this helps!
Hey there!!
We have:
... 3²· 3ⁿ = 3²⁰
Remember the exponent rule:
When the bases are equal and the terms are multiplied, then we add up the exponent.
mⁿ · mˣ = mˣ⁺ⁿ
Hence, this equation would result as :
... 3²⁺ⁿ = 3²⁰
... 2+n=20
... n=18
Hence, the required answer is 18.
The directrix x=-7 must be perpendicular to the axis that goes through the focus (7,0), then the axis of this parabola is y=0
The directrix cuts the axis of the parabola at the point (-7,0)
The vertex of the parabola V=(h,k) is the midpoint of the points (-7,0) and (7,0=
h=(-7+7)/2=(0)/2→h=0
k=(0+0)/2=(0)/2→k=0
Vertex: V=(h,k)→V=(0,0)
As the axis of the parabola is horizontal, the parabola has an equation of the form:
(y-k)^2=4p(x-h)
The parabola opens to the right then p is positive (p>0)
p is the distance between the vertex and the focus, the p=7
(y-k)^2=4p(x-h)
(y-0)^2=4(7)(x-0)
y^2=28x
Answer: <span>The equation of the parabola whose focus is at (7, 0) and directrix at x = -7 is: y^2=28x</span>