29.07.2022

A parabola can be drawn given a focus of (8, -11) and a directrix of y = 7. Write the equation of the parabola in any form.

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09.07.2023, solved by verified expert
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Check the picture below, so the parabola looks more or less like so, with a "p" distance that is negative since it's opening downwards.

A parabola can be drawn given a focus of (8,, №18011255, 29.07.2022 11:58

A parabola can be drawn given a focus of (8,, №18011255, 29.07.2022 11:58


A parabola can be drawn given a focus of (8,, №18011255, 29.07.2022 11:58
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Mathematics
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P Answered by Specialist

Check the picture below, so the parabola looks more or less like so, with a "p" distance that is negative since it's opening downwards.

\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=8\\ k=-2\\ p=-9 \end{cases}\implies 4(-9)[y-(-2)]~~ = ~~(x-8)^2\implies -36(y+2)=(x-8)^2 \\\\\\ y+2=-\cfrac{1}{36}(x-8)^2\implies y=-\cfrac{1}{36}(x-8)^2 -2


A parabola can be drawn given a focus of (8, -11) and a directrix of y = 7. Write

the equation of
Mathematics
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P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
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P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
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P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
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P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
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P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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