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Lisa [10]
3 years ago
5

Please help! An archway will be constructed over a walkway. A piece of wood will need to be curved to match a parabola. Explain

to Maurice how to find the equation of the parabola given the focal point and the directrix.
Mathematics
2 answers:
Eduardwww [97]3 years ago
8 0

draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry. The vertex(h, k) will be located on the line half way between the focus and directrix. The distance from the focus to the vertex is called the focal length, call it a. The then equation is (x - h)^2 = 4a(y - k) the equation can be manipulated to y = 1/4a(x - h)^2 + k hope it helps

andreev551 [17]3 years ago
3 0

Answer:

To solve the equation of the parabola, I need to use the distance formula and substitute the focal point in (x1-y1). Also, I will use the distance formula for the direct x. Since it is a straight line, the x part could be eliminated and the remaining part of the formula would be used, substituting the y for the given measurement of the direct x. The two unfinished formulas would be combined and then solved for the equation. f(x) would be the unit of measurement for the parabola.

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Which of the following is a sum of cubes?
saul85 [17]

Answer:

D) x^3+8y^6

Step-by-step explanation:

We have been given four choices.

A) 3x^3+8y^6

B) 8x^3-27y^6

C) 125x^6-9y^3

D) x^3+8y^6

Now we need to find about which of the above choices is a sum of cubes.

Basically we need to check which one of the given choices can be represented in cubic form along with addition sign.

3 and 9 can't be written in cubic form unless we use radical numbers.

So the only choice left is D)

D) x^3+8y^6

=x^3+2^3(y^2)^3

=x^3+(2y^2)^3

which is clearly visible as sum of cubes.

6 0
3 years ago
Read 2 more answers
a moving sidewalk at an airport moves at a rate of 1.2 ft / SEC. Walking on the moving sidewalk, a person travels 106 ft Ford an
Digiron [165]

A moving sidewalk at an airport moves at a rate of 1.7 ft/sec. Walking on the moving sidewalk, a person travels 104 ft forward in the time it takes to travel 52 ft in the opposite direction.

8 0
3 years ago
Can someone please help find the value of x? i didn’t do it right :(
slava [35]

Answer:

Step-by-step explanation:

cos(20°) = (14/2)/x

x = 7/cos(20°) ≈ 7.45

5 0
3 years ago
11
Mila [183]

A = $4,312.00

I = A - P = $2,112.00

Hey!

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

A = 2200(1 + (0.08 × 12)) = 4312

A = $4,312.00

The total amount accrued, principal plus interest, from simple interest on a principal of $2,200.00 at a rate of 8% per year for 12 years is $4,312.00.

-------------------------------------------------------------

Hope this helped in some way..have a great day!

4 0
3 years ago
Two garen plots are to have the same area. One is square and one is rectangular. The rectangular plot is 2 meters wide and 32 me
Brrunno [24]

Answer:

Length l = 8 m

The length of one side of the square is 8 m

Step-by-step explanation:

The area of a rectangle is;

Area = length × breadth

Given;

Length = 32 m

Breadth = 2 m

Area of the rectangle can be expressed as;

A = 32 × 2 = 64 m^2

Area of a square is;

Area = length × length = l^2

Since the area of the square is equal to the area of the rectangle, then the area of the square is 64 m^2

A = l^2

64 = l^2

l = √64

l = 8 m

The length of one side of the square is 8 m

5 0
3 years ago
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