22 A rectangle is graphed on a coordinate grid with (x, y) representing the location of a certain point on the grid. The rectangle is transformed using the rule (x, y) (nx, ny). Which statement must be true? F If n is between 1 and 2, the image of the rectangle is congruent to the rectangle. G If n is between 0 and 1, the image of the rectangle is smaller than the rectangle. H If n is less than 0, the image of the rectangle is congruent to the rectangle. J If n is greater than 1, the image of the rectangle is smaller than the rectangle.

Q: a. Show that h(x) = x3/4 and k(x) = (4x)1/3 are inverses of one another. b. Graph h and k over an…

A:

Q: SING THE GRAPHIC METHOD. Determine n and m that satisfy: 15 n + 10 m ≤ 150 4n - m ≥ 0 n ≥ 0 m ≥ 0…

A: Follow the procedure given below.

Q: A farmer will use up to 250 square meters for planting flowers and vegetables. She wants the area…

A: Here we have given some conditions between the area used for flowers and vegetables and we have to…

Q: Find the minimum and maximum of A over a particular interval [0, 6]. A(x) = | f(t) dt The graph of y…

A: The Fundamental Theorem of Calculus

Q: 3. (a) Find a simplified fom of the difference quotient and (b) complete the following table. f(x +…

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

Q: Abdulaziz will donate up to $440 to charity. The money will be divided between two charities: the…

A: solution is given below..

Q: 1.27 Find the coefficients a, b, and c so that the graph of f(x) = ax? + bx +c passes through the…

A:

Q: 6. 2. Given , f(x) = x-3 and g( x ) = 1 Find the following %3D a) (gof ) (x) b) Domain of (gof)

A:

Q: y= (x) is a polynomial function. Assume the function is of the lowest posible degree. -1 -4- /hich…

A: Polynomial function

Q: . A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1). Which statement…

A: Given that,

Q: 7. An open rectangular box having a volume of 9 m is to be constructed from a tin sheet. a) Show…

A:

Q: 2. The general form of a cubic is p(x) = ao + a1x +a2x² + a3x³ %3D Suppose you are given the…

A: What we basically need to do in this question is interpolation which can be done by various methods,…

Q: Q.4) The Wronskian W(e~2", e",e²), is: a) 12e b) –12e c) 6e² d) -6e"

A:

Q: The coefficient recursion relation for the solution y E an xn+1 of the n=0 equation 2y" – y' + (1+…

A:

Q: Your major online bookstore is in direct competition with Amazon.com, BN.com, and BooksAMillion.com.…

A: Given Rx,y,z=10,000-0.01x-0.02y-0.01z+0.00001yz

Q: #5. Alfred collects black and brown socks but loses a lot of them. If 60% of all his socks are…

A:

Q: 4 2 y = x +x - 9 y = -x Symmetry: Symmetry:

A: Definition used  -               Symmetry about x-axis -                If point (a,b) is on graph…

Q: 3. Which of the following statements are true given the graph below? I. The polynomial has an equal…

A: topic - polynomial and application of derivatives

Q: 3. The revenue function for selling n fidget spinners is R(n)= n(8 - 0.02n) a) Determine the number…

A: (a) The revenue function R(n) is: R(n)=n(8-0.02n) Differentiate the revenue function with respect to…

Q: 4. Find the greatest value of x"y" where x and y are positive, x + y = a, and m and n are positive.…

A:

Q: The graph of quadratic function k is shown on the grid. 12 11 10 -4 -3 2 -8 -7 -6 -5 -4 -3 -2 -1 1…

A:

Q: 2. Use Desmos to solve the system below. Round solution(s) to two decimal places. Attaclh your…

A: The graph of both equation is shown below.

Q: 4 A committee contains n members. If the total number of subcommittees with 3 members is 56, what is…

A:

Q: A rectangular field is to have an area of 900 sq. m . This is to be enclosed and divided into three…

A: We need relation between x and y and then replace y to get P(x)

Q: Lenterville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A: As the location where the cable split on x-axis is (x,0).Let d1 be the distance of Centreville from…

Q: The ordering and transportation cost C for componets used in a manufacturing process is approximated…

A:

Q: 11 In this question, take the number n of stages of a binomial variable X~ B(n, p) to be fixed, and…

A: Solution : For solution of d, e we take  direct results of binomial distribution. for…

Q: Consider the rational system that yields the pole-zero plot shown below while preserving the…

A: We are given the pole zero system of a discrete system. And we have to find the gain subject to the…

Q: 16 - Consider the grids below. (xo, Yo), (x1, y1), (x2, V2), (x3, Y3) · (x4, Y4) Construct the…

A:

Q: (r2 – 1)² (r³ + 1)² = 0 is the auxiliary quation of the homogenous D. E. eith constant coefficient,…

A:

Q: 4R Consider the mep T:R3B is given by a E(a-b) +(b-c)x+ (a-clr e) You linear Txmsformation Fnd its…

A:

Q: A gardener will use up to 240 square feet for planting flowers and vegetables. He wants the area…

A: Let x be the area of flowersLet y be the area of vegetablesThe given constraints are  x +y ≤240y…

Q: Example 2 Let's back to the opening exercise to find x and y using Pythagorean Theorem. go 4 12 8.

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

Q: A service station has both self-service and full-service islands. On each island, there is a single…

A:

Q: the degree of homogeneity, if there is one, for eac 1 X1,X2, X3) = - xf +x +x X2 X3 O gro finotion:…

A: Introduction: For a function f(x,y), the degree of homogeneity is an integer n such that,…

Q: Gonzalez Manufacturing borrowed ​$39000. Part of the money was borrowed at 8​%, part at 10​%, and…

A:

Q: 1. A rectangular piece of cardboard has dimensions 30 cm by 20 cm. Strips of width x cm and y cm are…

A: Length of the bigger rectangle=30Width of the bigger rectangle=20 Length of the smaller…

Q: -3 47 Define T: R? - R³ by T(x) = Ax, where A =|-5 3 - . - 28 Find an x whose image under T is -32

A:

Q: c. Gauss-Jordan Reduction X1 + 2x2 + 3x3 = 5 X1 + 3x2 + 3x3 = 4 2x1 + 4x2 + 7x3 = 12

A:

Q: The base of a three-dimensional figure is bound by the semi-circle y = V9 x. Vertical cross sections…

A:

Q: C) A rectangle has its base on the x-axis and its upper two vertices on the curve y = 192 -x, as…

A:

Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

A:

Q: The graph of f(x) = x² is shown on the grid. -12 10 -2 -1 Which statement about the relationship…

A: Here, f(x)= x^2. g(x)= 7.x^2.

Q: A gardener will use up to  250  square feet for planting flowers and vegetables. She wants the…

A: A gardener will use up to 250 square feet for planting flowers and vegetables. She wants the area…

Q: Q3: IfREAL variables x and y have values 2.0 and 1.0, and INTEGER variables Z and ZT have values 5…

A: Given, x=2.0 and y=1.0,, then x2 =4, y2 =1 Z=5, Z1=3, implies Z3=125, Z13=27

Q: 4) A rectangle in the first quadrant has can be made with its lower left vertex at the origin, one…

A: Consider the following figure:

Q: (8) To verify that (x+1) is a factor of P(x) = x' + 2x-5x-6, which of the following is correct? P:…

A:

Q: Amy does a weekly exercise program consisting of cardiovascular work and weight training. Each week,…

A: Topic = Inequalities

Q: 6. The diagonals of square EFGH intersect at point L. a. Draw and label the square below. b. If…

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.