1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Pls help em i dont get this- 4 is 16% of?
anyanavicka [17]

Answer: 25

Step-by-step explanation:

You take 100/16 and get 6.25. Then you just multiply 4 by 6.25 to get 25

7 0
3 years ago
If sine theta equals negative square root of three over two and pi less than theta less than three times pi over two, what are t
Romashka-Z-Leto [24]

Cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

<h3>What is angle measurement?</h3>

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given data;

sin(1/2) = π/6

The value of the trignometric function are;

cos(π/6) = (√3)/2

tan(π/6) = 1/√3 = (√3)/3

In the second quadrant, where the cosine and tangent signs are both negative, is the angle of interest.

θ = 5π/6

cos(5π/6) = -(√3)/2

tan(5π/6) = -(√3)/3

Hence. cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.

To learn more about the angle measurement, refer to the link;

brainly.com/question/14684647

#SPJ1

7 0
2 years ago
L(t) models the length of each day (in minutes) in Manila, Philippines tt days after the spring equinox. Here, t is entered in r
SVETLANKA909090 [29]

Answer:

Given that:

L(t) = 52\sin(\frac{2 \pi t}{365})+728

where

L(t) represents the length of each day(in minutes) and t represents the number of days.

Substitute the value of L(t) = 750 minutes we get;

750= 52\sin(\frac{2 \pi t}{365})+728

Subtract 728 from both sides we get;

22= 52\sin(\frac{2 \pi t}{365})

Divide both sides by 52 we get;

0.42307692352= \sin(\frac{2 \pi t}{365})

or

\frac{2 \pi t}{365} = \sin^{-1} (0.42307692352)

Simplify:

\frac{2 \pi t}{365} =0.43683845

or

t = \frac{365 \times 0.43683854}{2 \times \pi} = \frac{365 \times 0.43683854}{2 \times 3.14}

Simplify:

t \approx 25 days

Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days

4 0
3 years ago
Read 2 more answers
Alex has three less than four times as many baseball cards as his brother jon. If they have 407 baseball cards. how many does ea
natta225 [31]

103 cards

3-4x=407 is the equation

8 0
3 years ago
The following dataset represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80
neonofarm [45]

Answer:

yes

Step-by-step explanation:

The mode is the measure of the central tendency for the given data set. The mode represents the highest frequency of the number

Since in the given data set as we can see that the 100 would be appeared 6 times

So this represent that the mode is 100

So here the mode would be the good measure

3 0
3 years ago
Other questions:
  • Can someone answer this question correctly it's my test please don't answer if you don't understand please show work I need it t
    13·1 answer
  • ​​ What is the area of a rectangle with points at ​ (−4, 0), (−3, 1), (0, −2), and (−1, −3)? Do not round any side lengths.
    7·1 answer
  • a spinner with 8 equally sized slices is shown below. The daily is spun and stops on a slice at random. what are the odds in fav
    11·1 answer
  • What is the difference between a line segment and a ray and the difference between a line and a line segment?
    11·1 answer
  • Trapezoid Area Problem
    9·1 answer
  • In what direction is the line containing the point (5, -6) and (-2, -6) going
    14·1 answer
  • A machine paints 340 toy boats in 45 minutes.Which expression equals the rate per hour?
    10·1 answer
  • 12y=17-9x and -4y-3x=31 solve by elimination
    7·1 answer
  • Adrian
    15·1 answer
  • Would it be a<br> B<br> C<br> Or d
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!