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Question: Identify the graph that represents the equation 4x y Steps to derive 1 4x 2 y 2 2 x 2 8 y 2 4 3 The standard form of the equation of ellipse is ( x - h ) 2 a 2 ( y - k ) 2 b 2 x y h k 4 Compare the given equation with the standard form of the equation of ellipse.5 The center of the ellipse is at (0, 0).6 a 2 = 87 a 2 8 b 2 = 49 b 10 Length of the major axis = 2a 2 2 11 Length of the minor axis = 2b 12 c 2 = a 2 - b 2 a b c 13 c 2 = 8 - 4 = 414 c 15 So, the foci of the ellipse are (2, 0) and (- 2, 0).c c 16 From the given graphs, we can observe that the ellipse in Graph 4 have center at the origin, foci as (2, 0) and (- 2, 0), length of the major axis as 42 x 2 y 17 Therefore, Graph 4 represents the given equation of the ellipse.Hence the right answer is Option A Click Here To Go Back A vessel is in the shape of a cylinder mounted on a hemisphere of same radius 8 cm. The he.. A cylindrical road roller made of iron is 5 m long. Its internal diameter is 52 cm. The th.. Find the volume of the solid in the figure. Given a = 36 in., b = 24 in., c = 12 in.... Find the volume of the solid in the figure. Given a = 3 in., b = 5 in.... Solve the system by addition. 4x - 5y = 7; 20x - 25y = 10.. Solve the system by addition. - 4x + 10y = 16; 2x - 5y = - 8.. When the two equations 9x + 12y = 9; 9x + 11y = 12 are added, what number would you multi.. By what number would you multiply the first equation in order to eliminate the variable x .. By what number would you multiply the first equation in order to eliminate the variable 'x.. What numbers would you multiply to each of the equations 9x + 4y = 39; - 11x + 9y = 15 in .. By what numbers would you multiply each of the equations 9x - 10y = 2 and 7x - 6y = 8 in.. By what numbers would you multiply each of the equations - 6x + 9y = 22; 3x - 11y = - 5 in.. Are the given linear systems of equations equivalent?x + y = 13x - y = 3 .. Are the given linear systems of equations equivalent ? 8x - 7y = 98 x + y = - 1 .. Are the given linear systems of equations equivalent? 7x + 4y = 3713x + 12y = 87 &nbs.. Are the given linear systems of equations equivalent? 9x + 3y = 3313x - 6y = 120 &nbs.. One quart of sugar costs $3, and one quart of wheat costs $2. Rebecca bought 22 quarts in .. Solve the linear system: 5x + y = 2; 20x + 20y = - 20.. Solve the linear system: 0.03x + 0.02y = 0.08; 0.09x - 0.03y = 0.15... Solve the linear system: 3(2x + y) = 0, 2(x + 5) = - 6y.. Solve the linear system. 9y - 8 = 11x - y10; 18x - 1080 = y10.. Solve the system by substitution. 4x + y = 5- 16x - 4y = - 20.. Solve the system by substitution: 10x + 10y = 10012x = - 12y + 108.. Find the value of a for the given dependent system.y = 5x + a30x - 6y = 54.. Find the value of a for the given dependent system.6y = 7x30y - 41a - 35x = 0.. Find the value of m that makes the system inconsistent. y = mx8y - 7x = 9 .. Find the value of m that makes the system inconsistent.y = mx - 13122x + 5y = 5.. In a sports competition, Henry received 50% more prize money than Justin. Altogether, the.. Jason bought 5 books and a pen for $67 and Nathan bought a book and 12 pens of the same ki.. Brad ate 3 biscuits more than William. Together they ate 23 biscuits. How many did Brad e.. Dennis has some pens and stamps. The number of pens is equal to 8 times the number of stam.. Jim and Jack have some dimes and quarters. The number of coins that Jim has is 28 and th.. The number of boys in a class room is 2 times the number of girls. If 3 new boys join the .. Solve the system by substitution: 4x - 2y = 6- 10x + 5y = - 15.. Solve the system by substitution:2x + 6y = 85x = - 15y + 25.. A carpenter earns $16 as a salary for a five - hour shift. He gets $4 for an extra hour. .. Choose the transformations to obtain y = |x| - 3?.. What are platonic solids?.. Which figure represents the net for the triangular prism shown?.. Which figure represents the net for the given hexagonal prism?.. What solid does the net represent?.. What is the sum of measures of the interior angles of a n-gon?.. In a polygon, if a diagonal has no points outside it, then name that polygon... In a polygon a diagonal has points outside it. Name the polygon... What is the sum of measures of the exterior angles of a polygon?.. What is the measure of an interior angle of a regular hexagon?.. What is the measure of an exterior angle of a regular heptagon?.. Find the measure of interior angle of a regular pentagon... Find the value of y in the figure shown. [Given a = 130, b = 83 and x = 75.].. In the figure shown, a = 125, b = 81 and c = 115. Find the value of x... What is the sum of the measures of the interior angles of a 7 - gon?.. The sum of the measures of the interior angles of a polygon is 900°. Find the number o.. Solve for x... Find the value of x in the octagon if a1 = 132, a2 = 132, a3 = 134, a4 = 134, a5 = 132, .. The measure of an exterior angle of a regular polygon is 60. Find the number of sides of .. In the figure, a = 103, b = 103 and c = 95. Find the values of x and y ... What is the measure of each exterior angle in a regular polygon of 15 sides?.. Find the measure of each exterior angle of a regular octagon... Identify the convex polygon... A diagonal of a polygon is a segment that connects any two.. Which of the following is correct in the case of a polygon?.. Find the value of y in the figure... In which figure the sum of interior angles is more?.. Find Q in the figure... Which of the following statements is correct?.. In ΔABC, tan A =.. In ΔABC, the leg opposite to ∠C is.. In ΔPQR, if x = 13, y = 12 and z = 5 then find the value tan P... In ΔRST, find tan R × tan T. [Given x = 8, y = 15 and z = 17.].. Relationship between tan P and tan R is [Given x = 8 and y = 15.].. Find ∠B in ΔBAC... The slope of line l is [Given a = 18 and b = 24.].. The slope of a line is 13. Find its inclination... The length of the shadow of a vertical pole of height a cm is b cm. Find the approximate i.. Find the acute angle that the line y = 3x + 5 makes with positive x-axis... In ΔABC, x = 8 and z = 17. Find the value of tan A... If tan x° = 5.1, then find the value of x... If tan 3° = 9x, then find the value of x... Which is greater, tan 13° or tan 14°?.. If tan x° = 815, then Tan-1(158) = ?.. Which of the following is true?.. Find the value of y in the right triangle for a = 13 and x = 44... In the interval [ 0, π2], as the value of the angle increases, tangent ratio approaches.. Which of the following is true?.. Which is greater: tan 1° or tan 1 radian?.. Find the value of tan 90° . .. Range of tan x is.. Domain of tan x is.. In the interval (0, π2), which of the following is true? (Angle x is in radians).. Find tan x in right triangle ABC for a = 17 and b = 8... Which of the following is true?.. Relationship between tan θ and cot θ is.. The incenter of the triangle is at the point A(x1, y1). Q, Y(x2, y2) are two points on th.. The segment whose end points are a vertex of a triangle and the midpoint of the side oppos.. What is the perpendicular segment from a vertex to the opposite side in a triangle?... What is the point which is equidistant from the sides of a triangle?.. The point equidistant from the vertices of a triangle is known as.. Two perpendicular bisectors of the sides of a triangle are x = 7 and y = 9. Find the cent.. In an acute angled triangle altitudes lie.. In the triangle ABC, O is the circumcenter and AO = x cm. What is the measure of OB + OC ..
