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antoniya [11.8K]
3 years ago
9

An archway will be constructed over a walkway. A piece of wood will need to be curved to match a parabola. Explain to Maurice ho

w to find the equation of the parabola given the focal point and the directrix.
The directrix is at 9 and the focus is at (7, 6)
Mathematics
1 answer:
mariarad [96]3 years ago
6 0
Ok

so the focus is on the opening side of the parabola

so for a vertex of (h,k)
opening up and down
(x-h)²=4p(y-k)
p is the distance from vertex to focus
it is also the distance from the vertex to the closes point on directix
2p=distance from focus to directix

p is positive if the focus is above the directix

ok
y=9 and (7,6)
9>6
directix is above the vertex
p is negative
find distance
from 9 to 6 is 3
3=2p
1.5=p
p is negative
and the vertex will be 1.5 above the focus and 1.5 below the directix
vertex is (7,7.5)

(x-7)²=4(-1.5)(y-7.5) is de equation
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Answer:

2.5 × t = 2.5 t

Step-by-step explanation:

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Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x
zimovet [89]

Answer:

2.8-5.4

Step-by-step explanation:

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8 0
3 years ago
In is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says t
Y_Kistochka [10]

Answer:

A. $27.23

B. $467.77

Step-by-step explanation:

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

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A. Amount earned by the salesperson = 5 1/2% of $495

= 5.5% × 495

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B.How much money will the store get from the sale of the couch?

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8 0
3 years ago
A coral reef grows 0.15 m every week. How much does it grow in 11 weeks?
Misha Larkins [42]
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3 0
2 years ago
Hello Brainly,<br> Please send the details for the area of each shape.<br> Sincerely,<br> Leanoriaia
Ainat [17]
This type of problems are solved by partitioning the figure into rectangles, whose areas we can find easily.

Picture 1)

From the point denoted by E, draw two altitudes towards the sides AG and AC.

Since ED is 3, then BC is 3. Thus, AB=4-3=1. 

Since EF is 1, then HG is 1, so AH=3-1=2.


The area of the figure is equal to the area of rectangle ACDH + the area of the square HEFG.

That is, the area of the figure is 4*2+1*1=8+1=9 (square in).

Picture 2)

As in the first part, draw the altitudes EB and EH from point E.

GF is 5, so AB is 5. This means that BC=7-5=2 (in).

FE is 3, so GH is 3, that is HA=6-3=3.

Thus, Area(figure)=Area(ABFG)+Area(BCDE)=5*6+2*3=30+6=36 (square in.)

Answer: 9 (square in); 36 (square in.)

7 0
3 years ago
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