Aparticle traverses the parabola y = x2 with constant speed 3 cm/s. What is the distance traveled during the first minute? Hint: Only simple computation is necessary.

Q: As arch is in the form of parabola with its axis vertical. The arch is 10m high and 5 at the base.…

A: Topic:- application of geometry

Q: ...***... .. . .. The area of an ellipse with axes of length 2a and 2b is nab. The percent change in…

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

Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

A: If the axis of parabola is y = 1, then the parabola is horizontal. As we know that the standard…

Q: What is the length of the latus rectum (LR) of the parabola y = -÷(x – 2)“ + 5?

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Q: 3. The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the…

A: Solution:-   First we are draw a rough diagram based on the given problem.      Both towers are…

Q: The parabola y = - 16 (X – 2)- -+1 has its fócus at (2, -3). Determine and state the equation of the…

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Q: Find a parabola with equation y = ax2 + bx + c that has slope 11 at x = 1, slope -25 at x = -1, and…

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Q: What is the length of the latus rectum of a parabola having its vertex at the origin and focus at…

A: The length of latus rectum of parabola = 4a

Q: The area of the triangle formed by the tangent and the normal to the parabola y = 4ax both drawn at…

A: Given  the parabola y² = 4ax both drawn at the same end of the latus rectum and the axis of the…

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3. (two…

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Q: If a person shoots a basketball overhand from a position 8 feet above the​ floor, then the path of…

A:

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: Here we have to calculate the height of cable

Q: nstructions: Solve the following and show your complete solution 1. The cables of a suspension…

A: Given :- The cable of a suspension bridge are in the shape of a parabola. The towers supporting the…

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3.

A: Given :          The equation of directrix of the parabola is x + 1 = 0          The length of the…

Q: The Dufferin Gate is a parabolic arch that is approximately 20 m tall and approximately 22 m wide.…

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Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is

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Q: Find the equation for the parabola that has its vertex at the 1 origin and has directrix at y 41…

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Q: How do you find the vertical stretch or shrink of a square root equation on a graph

A: Explained below

Q: ises 17–30, find the equations of the parabola

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Q: An arch 18 m high has a form of parabola with a vertical axis. The length of the horizontal beam…

A: NOTE: Refresh your page if you can't see any equations. . from the given data, draw a figure

Q: 80 ft 150 ft 600 ft

A: Solution:GivenTowers that support the cable are 600ft apart and are 80ft highTo find the height  of…

Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

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Q: What is the correct standard form of the equation of the parabola? Enter your answer below. Be sure…

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Q: Find the tangent line to the parabola x2-6y=10 through (3,5) (ILLUSTRATE SOLUTION)

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Q: .... .. ......... ....*.*. ..* * ..... The area of an ellipse with axes of length 2a and 2b is nab.…

A: As per our guidelines , we can only solve first question. Please resubmit other questions as next…

Q: Find the shortest distance +rom the point (0,5)to the ellipse 3 y? = x'

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Q: What is the maximum area of a rectangle inscribed in the ellipse 25 + y? = 1?

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Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3. (two…

A: The equation of directrix of the parabola is x+1=0. The length of the latus rectum is 3. The…

Q: The parabola y = x² is shifted up by 7 units and to the left by 1 unit. What is the equation of the…

A: Equation of parabola is given as y=x2. If the parabola is shifted by a units and to the left by b…

Q: 1. What is the equation of the line to the parabola y = x2 + 5x +1 through the 15 point at

A: Given, Parabola  y=x2+5x+1 Point 12, 154

Q: 21. What's the standard form equation of a parabola with directrix x = -10 and focus (10,0)?

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Q: An arch 18 m high has the form of parabola with a vertical axis. The length of a horizontal beam…

A: Given: An arch 18m high has the form of parabola with a vertical axis. The length of a horizontal…

Q: What are the coordinates of the end points of the latus rectum of the parabola with equation a - 2z…

A: What are the coordinates of the end points of the latus rectum of the parabola with equation…

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 2.

A:

Q: 1. The straight line in the figure is tangent to the parabola. Find the value y = za2 - 4x + 10 6.…

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Q: A 24 meter long tension wire is tied firmly between two vertical poles with identical height of 5…

A: To Find:a) Write an equation of the parabola.b)How far is the center of the beam to the wire's 1 cm…

Q: Show the figure or model of a rectangular object 25 m wide is to pass under a parabolic arch that…

A: given that Parabolic arch has a width 32m at the base and height 24m at the center Vertex of…

Q: A parabola with directrix y = -1 and one endpoint of the latus rectum at (-1,3)

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Q: Find the length of the latus rectum of the parabola x2 = 4py. Then find the length of the parabolic…

A: Given , Equation of parabola  x2 = 4py     Comparing with the Standard Equation of Parabola  x2=4ay…

Q: A certain bridge arch is in the shape of the top half pf an ellipse 122 feet wide and 25.6 feet…

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Q: 3A parabolic arch has a height of 24 meters and a width of 32 meters at the base. If the vertex the…

A: according to our guideline we are supposed Answer only the first question if you want any particular…

Q: If a person shoots a basketball overhand from a position 8 feet above the​ floor, then the path of…

A: The path of the basketball through from the hoop is modeled by the parabola,

Q: Find the equation of the parabola with directrix x + 2 = 0, axis y = 4, and latus rectum 4.

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Q: A cable durpended between two Do po has a Jag of 1. 20 meters apart a form of a parabola, find its…

A: The distance between the pole = 20 m and the sag of 112 m=32 m. We have to find the equation of the…

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…

A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.

Q: Plot both the following curves on the same set of axes. r = 5 − 4cos(θ), and the parabola y = x².

A: We have to Plot both curves on the same set of axes. r = 5 − 4cos(θ), and the parabola y = x².

Q: An arch in the shape of an arc of a parabola measures 6m across the base and its vertex is 2.5m…

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Q: 20. Parabolas with vertex and focus on the x-axis. llel to the y.

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Q: A satellite in a 100 mile high circular orbit around the earth has a velocity of approximately…

A: Assuming the general form of(y - k) = (1/4p)(x - h)^2If we say the origin is at the point (0,0). The…

Q: If a person shoots a basketball overhand from a position 8 feet above the​ floor, then the path of…

A: Given that a person shoots a basketball overhand from a position 8 feet above the​floor, then the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.