An arch is in the shape of a parabola. It has a span of 350 feet and a maximum height of 25 feet. Find the equation of the parabola (assuming the origin is halfway between the arch's feet). Determine the height of the arch 104 feet from the center.

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: Given:y=4x2+17x+15for finding the x-intercept of the equation. we need to put y=0so, 4x2+17x+15=0we…

Q: Find the equation of a parabola, in vertex form.

A: Equation of the parabola in vertex form is given by :y=a(x-h)2+kwhere (h,k) is vertex of the…

Q: Describe the part of a hyperbola given by the equation.

A: Given equation is  x=23y2-36

Q: write the equation of a parabola whose directrix is x = 5.75 and has a focus at (12.25, 5).

A:

Q: determine the equation of this parabola

A: The general form of the parabola is y=ax-h2+k where h,k is the vertex of the parabola.

Q: find the equation for the parabolic cooker.

A:

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given equation is: x2 + 3x = 3y - 6 x2 + 3x + 9/4 = 3y - 6 + 9/4 x+322=3y-154⇒x+322=3y-54…

Q: If you are given the standard form of the equation of a parabola with vertex at the origin, explain…

A:

Q: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…

A:

Q: Find the standard equation of the parabola shown in the figure.

A: Find the equation of the given graph.(x-h)2=-4a(y-k) (h,k)=(2,-4) Focus(0,a)=(0,5)…

Q: Find the equation of a hyperbola with center at (3,-1) if the transverse axis is horizontal, the…

A: Given Centre = (3,-1) Focal distance = 20 units Length of transverse axis = 16 units

Q: Examine this parabola and determine the solutions.

A: given parabola :

Q: Find the equation of the hyperbola having center at the origin with transverse axis on the x-axis,…

A: Given-  Hyperbola having center at the origin with transverse axis on the x-axis, a=4, and latus…

Q: Write the equation of a parabola whose directrix is 0.25 and has a focus at (– 2, 5.75). -

A:

Q: The cables that hold up a suspension bridge form a parabola. The distance between the towers is 600…

A: Given that, the distance between towers as 600 feet and the height of each tower is 500 feet from…

Q: given the equation of parabola y^2 -8x -4y -20=0,find the length of latus rectum

A:

Q: Write the equation of a parabola whose directrix is æ 0.25 and has a focus at (1.75, 6)

A: Given, The parabola whose  Directrix is x = 0.25 Focus at 1.75, 6  We have the write the equation…

Q: Find the equation of the directrix of the parabola y=16x.

A:

Q: A racetrack is in the shape of an ellipse 100 feet long and 50 feet wide. What is the width 10 feet…

A: Given that shape of ellipse is 100 feet long and 50 feet wide. Draw a rough sketch showing the given…

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

A:

Q: What is the equation of the axis of symmetry for the parabola shown at the right? 바

A: NOTE: Refresh your page if you can't see any equations. .

Q: Describe the part of a hyperbola given by the equation.

A: A hyperbola is a type of conic section formed when a plane cuts a right circular cone. Consider a…

Q: A cable suspended between two posts that are of the same height and 20 meters apart has a sag of 1/2…

A: Given: A cable suspended between two posts that are of the same height and 20 meters apart has a…

Q: If the diameter of the parabolic mirror is 100 meters and the sunlight is focused 25 meters from the…

A: It is given that the diameter of the parabolic dish is 100 m and the focus of the dish is 25 m.

Q: Find the equation for the parabola that has its vertex at the origin and the focal point is 278…

A: Consider the equation of parabola vertex at origin and focus to the right of directrix. y2=4ax…

Q: Use the given information to write the equation of the parabola.

A: Since the directrix is y=3, So then the foci will be (0,-3).   Find equation of parabola on y- axis:…

Q: A satellite dish is being designed so that it can pick up radio waves coming from space. The…

A:

Q: Find the equation of the parabola

A:

Q: Find an equation for the indicated half of the parabola.Right half of (x + 1)2 = y - 4

A: (x+1)2=y-4

Q: Classify the graph of the equation 4x2 − y2 − 4x − 3 = 0 as a circle, a parabola, an ellipse, or a…

A: The general equation of the curve is, ax2+by2+cx+dy+e=0 where a, b, c, d, and e are the constants.…

Q: Find the standard equation of the parabola shown in the figure.

A: Standard equation of parabola: y=ax-h2+k        ...(1) Where (h, k) is the vertex of a parabola.

Q: 12

A: In this question, concept of parabola is applied. Parabola A parabola is a curve equation in which a…

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

Q: A certain bridge arch is in the shape of half an ellipse 134 feet wide and 34.6 feet high. At what…

A:

Q: A certain bridge arch is in the shape of half an ellipse 104 feet wide and 32.3 feet high. At what…

A: Given , a certain bridge is in the shape of half an ellipse which is104 feet wide & 32.3 feet…

Q: Divide both sides of 4x² – 9y? = 36 by 36 and simplify. How does the simplified equation differ from…

A: Given- 4x2-9y2=36 To simplify- The above expression by dividing 36 in both sides and then state how…

Q: Which equation represents the parabola graphed on the coordinate plane below?

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the vertex form…

Q: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…

A:

Q: The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose…

A:

Q: Describe the part of a hyperbola given by the equation.

A: The standard form of equation of hyperbola having center at (0,0) and major axis on x axis is given…

Q: Write an equation for the parabola shown to the right.

A:

Q: Suppose that two people standing 1.5 mi (7920 ft) apart at points A and B hear a car accident. The…

A:

Q: Describe the part of a hyperbola given by the equation.

A: Given: y=94x2-16

Q: Consider the parabola given by the equation: 1æ? y = 2x + 8 -

A:

Q: Find an equation of the parabola whose graph is shown. y X (4, –2)

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the equation of a hyperbola with center at (3, -1) if the transverse axis is horizontal, the…

A:

Q: if the radio signal travel at a speed of 980ft/ms , find an equation of the hyperbola on which the…

A: Consider points A & B are two sending station and K is the of the ship, and suppose two-point be…

Q: Write the equation of a parabola whose directrix is x 12.5 and has a focus at (5.5, – 9). -

A:

Q: Determine the equation of the parabola shown.

A: From the given equation of the parabola, the graph crosses the x-axis at two points which are x = -5…

Q: Find the equation in standard form of a parabola whose focus is at (-3,-2) and whose directrix is x:…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.