Basic Math question and answers for October 24, 2024
- Q Graph the hyperbola using the transverse axis vertices and co vertices y x 22 12 1 9 36 Use the green key point to change the orientation of the transverse...
- Q A table lamp emits light in the shape of a hyperbola If the hyperbola is modeled by the equation 25x 144y 2 3 600 0 which of the following equations...
- Q Find the standard form of the equation of the hyperbola satisfying the given conditions.x-intercepts 6, foci at (-10,0) and (10,0)
- Q Given an hyperbola which passes through point P has vertices V, and V?, and has foci F, and F?, which of the following statements is a fact about hyperbolas?Choose the...
- Q Use vertices and asymptotes to graph the hyperbola. State the coordinates of the vertices. Find the equations of the asymptotes.1) (x^2/4)-(y^2/16)=1
- Q Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer does not exist, enter DNE.)(x^2)/9 - (y)^2/25 =1
- Q Write an equation for the hyperbola with center at (5, 4), focus at (8, 4), and vertex at (7, - 4).An equation for the hyperbola is ____ .
- Q The cross-section of a nuclear power plants cooling tower is in the shape of a hyperbola. Suppose the tower has a base diameter of 264 meters and the diameter at...
- Q The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose the tower has a base diameter of 210 meters and the diameter at...
- Q Determine the direction of opening or openings for the hyperbola (x-3)/9 - (y+4)/4 = 1a. Leftb. Upc. Left and rightd. Up and down
- Q A hyperbola has vertices (1,2) and (3,2). Which of the following equations couldrepresent this hyperbola? Select all that apply.
- Q 7. Given the following information, write the standard form equation of each hyperbola and determine the equations for the asymptote lines of the hyperbola.a. Vertices: (-5, 5), (-5, 3): Foci:...
- Q Consider the equations below and complete the following:Before completing any calculations, consider the equation and write down an educated guessas to which type of conic section is represented. Explain briefly...
- Q A telescope contains both a parabolic mirror and a hyperbolic mirror. They share focus F?, which is 42 feet above the vertex of the parabola. The hyperbola's second focus F2...
- Q Find the vertices and asymptotes of x/49-y/9=1List the coordinates of the vertices:Write the equation of the asymptote with positive slope:y=
- Q The eccentricity of a hyperbola is defined as e = c/a. Find an equation of a hyperbola with vertices (1,-1) and (-5, -1) and e=5/3 The equation of the hyperbola...
- Q Your mission is to track incoming meteors to predictwhether or not they will strike Earth. Since Earth has acircular cross section, you decide to set up a coordinatesystem with its...
- Q Sketch a graph of each conic section from the Discuss below without using a graphing calculator. Show all ofyour work. For ellipses, circles, and hyperbolas, clearly label the coordinates of...
- Q Find an equation for the hyperbola described. Graph the equation.Center at (0,0), focus at (0,6), vertex at (0,1)An equation of the hyperbola is= 1.(Type an equation. Use integers or fractions...
- Q Find an equation for the hyperbola described below. Graph the equation by hand.Foci at (0, 10) and (0,10); asymptote the line y = -xAn equation of the hyperbola is-= 1.(Use...
- Q A table lamp emits light in the shape of a hyperbola. If the hyperbola is modeled by the equation 25x2 - 144y2 + 3,600 = 0, which of the following...
- Q For each hyperbola below, find its center, vertices, co-vertices, foci, and asymptotes.a.(x?1)/9 -(y+2) /16= 1Coordinates of center:Coordinates of vertices:Coordinates of co-vertices:Coordinates of foci:Equations of asymptotes:
- Q Find the equation of the hyperbola with vertices (1,6) and (1,0) and foci (1,9) and (1, -3). Select the correct answer below: (y-3)/27 - (x+1)/9 = 1(y-3)/9 -(x-1)/27 = 1(x-1)/9...
- Q Find the equation of the hyperbola with vertices (-4,-1) and (-4,-5) and foci (-4,5) and (-4,-11).Select the correct answer below:O (3-3)60(x+4)O (3-3)60O(x-4)4O(x+4)4(y+3)4(x+4)4(y-3)604(y-3)60(y+3)60(x+4)60= 1= 1= 1= 1= 1= 1
- Q Write the following conic equation in standard form and use that equation to graph the conic. Identify any vertices, foci, major, minor or transverse axes or directrixes that apply.4x-25y +50y-24...
- Q Use the information provided to write the standard form equation of the hyperbola. Show your work using either the equation editor or submit your work in the dropbox.Vertices: (8, -1)...
- Q Find the asymptotes of the hyperbola below.(y + 1)/9 - (x - 2) / 64 = 1Select the correct answer below:The asymptotes are y = 8/3(x ? 2) + 1.The...
- Q Find the asymptotes of the hyperbola below.Use y -(y ? 1)/16- (x+3)/4 = 1a/b(x ? h) + k or y = 2b/a(x ? h) + k for the equation of...
- Q A vase can be modeled using x^2 / 5.5225 - (y-5)^2 / 42.25 = 1 and the x-axis, for 0 ? y ? 20, where the measurements are in inches....
- Q A telescope contains both a parabolic mirror and a hyperbolic mirror. They share focus F?, which is 42 feet above the vertex of the parabola. The hyperbola's second focus F2...
- Q In a solar system two comets pass near the sun which is located at the origin Comet E is modeled by all measurements are in astronomical units Part A What...
- Q 4 An elliptical whispering gallery is 10 m long Anna and Francis find that if they each stand 4 m away from the ends of the gallery at its foci...
- Q A tunnel is constructed with a semielliptical arch The width of the tunnel is 70 feet and the maximum height at the center of the tunnel is 20 feet What...
- Q A one way road passes under an overpass in the shape of half an ellipse 20 ft high at the center and 20 ft wide Assuming a truck is 16...
- Q Drag each sign and value to the correct location on the image Each sign and value can be used more than once but not all signs and values will be...
- Q the following equation of an ellipse Answer Step 3 of 4 Find the endpoints of the major and minor axes of this ellipse 9x 64y 72x 128y 368 0 Enter...
- Q Find the equation of the ellipse with the following properties. Express your answer in standard form.Vertices at (-5, -2) and (-5, 12)Minor axis of length 2
- Q Graph the given ellipse. Identify the domain, range, center, vertices, endpoints ofthe minor axis, and foci in the figure.(x-1)/4 + (y + 1)/9 =1The center of the ellipse is...
- Q Consider the following equation of an ellipse.9x + 49y +90x+ 392y + 568 = 0Step 1 of 4: Rewrite this equation in the standard form of an ellipse.Answer
- Q Consider the following equation of an ellipse. (x+2)^2 /9 + (y-1)^2 /81 =1Find the center of this ellipse.AnswerEnter the coordinates to plot points on the graph.center:
- Q Consider the following equation of an ellipse.(x - 2)/4+(y + 2) /16 =1 Step 3 of 3: Find the coordinates of the two foci of this ellipse. Round your answer...
- Q An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feetwrite the standard...
- Q Find an equation of an ellipse satisfying the given conditions.Foci: (-4, 0) and (4, 0)Length of major axis: 12
- Q Find the equation of the ellipse with the center (6,3), a focus at (3,3), and a vertex at (11,3).
- Q An elliptical-shaped path surrounds a garden, modeled by (x-22)/225+ (y-26)/324 =1, where all measurements are in feet. What is the maximum distance between any two persons on the path, and...
- Q An equation of an ellipse is given.x2/25 + y/16 = 125 16(a) Find the vertices, foci, and eccentricity of the ellipse.
- Q An equation of an ellipse is given.(a) Identify the center of the ellipse.(b) Determine the value of a.(c) Determine the value of b.(d) Identify the vertices.(e) Identify the endpoints of...
- Q Consider the standard form of the equation x/25 + y/36 = 1The value of a is, so the y-intercepts are The graph passes through the ordered pairs which are the...
- Q Consider the equation of the following (x+8)/4 conic section: + (y + 6) = 1. Use Desmos and scratch paper to determine the following characteristics of the conic section: Name...
- Q An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, -8).Which equation represents this ellipse?
- Q Semielliptical Arch Bridge An arch in the shape of the upper half of an ellipse isused to support a bridge that is to span a river 12 meters wide. The...
- Q Find an equation of the ellipse that has center (5, 2), a minor axis of length 4, and a vertex at (1,2).
- Q Find an equation of the ellipse that has center (3, 2), a minor axis of length 2, and a vertex at (3,-9).
- Q Find an equation of the ellipse that has center (1,-4), a minor axis of length 4, and a vertex at (-2,-4).
- Q An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 20 meters wide. The center of...
- Q Convince me that the equation of an ellipse that has foci at (2,0) and (-2,0) and a major axis length of 6 has an equation of x^2/9 + y^2/5 =...
- Q Which of the following could be the equation of an ellipse? (More than one answer maybe possible)(x-4) = 24 (y + 8)(x-4) + (y + 8) = 1(x-4)/2 - (y...
- Q The equation of an ellipse is given below.(x+8)/169 + (y + 9)/25 =1What are the foci of this ellipse?Choose 1 answer:A(-8,-29) and (-8, 11)(28,9) and (-12,9)(-20, -9) and (4, 9)(8.29)...
- Q Given the following equation, what is the location of the center point and what is the length of the semi-minor axis?(x-2)/81 + (y+1)/25 =1(2,-1) and 25(2,-1) and 5(-2,1) and 5(-2,1)...
- Q Complete the sentence below.For the ellipse x/25 + y/9 = 1, the value of a is , the value of b is , and the major axis is the -axis.For...
- Q Given the ellipse below, determine the coordinates of the two foci. Enter your answers as ordered pairs (x, y) and leave in radical form.(x-1)2/36 + (y+2)2/16 = 1
- Q The vertices of an ellipse are located at (1,4) and (9,4) and its co-vertices are located at (5, 7) and(5, 1).a. Find the center of the ellipse.
- Q An elliptical whispering gallery is 10 m long. Anna and Francis find that if they each stand 4 m away from the ends of the gallery at its foci, they...
- Q To determine the break-even point, or the number of units that must be sold so that no profit or loss occurs, an economist uses the formula Px = Cx +...
- Q Fill in the blanks below:a. If an ellipse has a major axis length of 8, then its semi-major axis length is_b. If an ellipse has a minor axis length of...
- Q An inspector must select three tests to perform in a certain order on a manufactured part. He has a choice of seven tests. How many ways can he perform three...
- Q The plane x + y + 2z = 12 intersects the paraboloid z = x + y in an ellipse. Find the points on the ellipse that are nearest to...
- Q Write the equation of the ellipse 36x + 4y - 360x + 32y + 820 = 0 in standard form(x - h)pWhere:h =k =P =q=+(y k)-q=1M
- Q Bob's backyard is a rectangle 40 meters by 100 meters. He uses this backyard for an exercise area for his dog. Hedrove two posts into the ground and fastened a...
- Q A system of equations is made up of an ellipse and a hyperbola.Part A: Create the equation of an ellipse centered at the origin, with a horizontal major axis of...
- Q Which of the following is the equation of the ellipse with a vertical major axis, center at (1, -3), a = 7, and b = 5?
- Q A moon's elliptical orbit around a planet is modeled by the equation 225x + 900y2 = 202,500, where distance is measured in megameters (Mm). If the planet is the center...
- Q (x+16)400In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled byall measurements are in astronomical units.Part A: What are the...
- Q Complete the square to determine whether the equation represents an ellipse, parabola, or hyperbola, showing all your work. If the graph is an ellipse, find the center, vertices, and length...
- Q Find an equation for the ellipse. Graph the equation.center at (0,0); focus at (0,20); vertex at (0, - 25)Type the left side of the equation of the ellipse.
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!