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Mathematics 17 Online
OpenStudy (timaashorty):

PLEASE HELP Check my answer?

OpenStudy (jdoe0001):

got picture?

OpenStudy (timaashorty):

nope there's no picture

OpenStudy (timaashorty):

@Mertsj can you please help me?

OpenStudy (mertsj):

I think that is right...assuming that the 24 is 2p, or is it 4p? I forget. I'd better look it up.

OpenStudy (jdoe0001):

more or less

OpenStudy (jdoe0001):

the mic is 24 inches wide, thus 12 units on one side and 12 units on the other

OpenStudy (timaashorty):

so its either 4 or 12?

OpenStudy (jdoe0001):

then you'd just need to get the equation of that parabola, to get the distance from the focus to the vertex since the mic itself is at the focus of the dish

OpenStudy (jdoe0001):

recall that \(\large \bf (x-h)^2=4p(y-k)\) p = distance from the vertex to the focus

OpenStudy (jdoe0001):

so you're really being asked for "p"

OpenStudy (timaashorty):

h,k is 12, 4 or 24, 4 ?

OpenStudy (jdoe0001):

(h, k) is the vertex of the parabola, notice the parabola is at the origin

OpenStudy (jdoe0001):

so we know the vertex, thus (h, k) then we'd need another point in the parabola, notice the picture, you'd have two you can use so let's say let use use the (-12, 4) so \(\bf (x-h)^2=4p(y-k)\implies (x-0)^2=4p(y-0)\implies x^2=4py \\ \quad \\ {\color{blue}{ (-12, 4)}}\implies {\color{blue}{ -12}}^2=4p{\color{blue}{ 4}}\) solve for "p"

OpenStudy (jdoe0001):

well, I should enclose the "x" , so \(\bf (x-h)^2=4p(y-k)\implies (x-0)^2=4p(y-0)\implies x^2=4py \\ \quad \\ {\color{blue}{ (-12, 4)}}\implies ({\color{blue}{ -12}})^2=4p{\color{blue}{ 4}}\)

OpenStudy (timaashorty):

so p = 4 c; ; the vertix should be placed 4 inches far

OpenStudy (timaashorty):

Can you please help me with 2 more?

OpenStudy (jdoe0001):

hmmm p = 4?

OpenStudy (timaashorty):

its not correct?

OpenStudy (timaashorty):

weird it doesn't show your viewing this, I keep thinking youve left

OpenStudy (jdoe0001):

\(\bf {\color{blue}{ (-12, 4)}}\implies ({\color{blue}{ -12}})^2=4p{\color{blue}{ 4}}\implies \cfrac{144}{4\cdot 4}=p\)

OpenStudy (timaashorty):

wait 9 ? what

OpenStudy (jdoe0001):

yes

OpenStudy (timaashorty):

I think I did some wrong at first but thank you so much(:

OpenStudy (jdoe0001):

as far as the other... repost anew, thus more exposure and we can revise each other

OpenStudy (timaashorty):

Okay (:

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