Prove that the quadrilateral with vertices A(0,0),B(4,3),C(7,-1) and D(3,-4) is a square.   Prove that the quadrilateral with vertices A(2,2),B(5,-2),C(9,1) and D(6,5) is a square.

Q: Determine the domain and the range of the given graph of a function. The domain of the graph of the…

A: Given query is to find the domain.

Q: Say your gross pay is $51,212 annually. You take home 85% of it. Figure out how much you take home…

A: Simply calculate the percentage of total income spend in each category.

Q: Consider the function T: R2 → R³ given by - T(x, y) = (−x + 3y, 2x − y, −y). Find the matrix A of T…

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Q: . -{[2] =R²₁-2₂20} Select the correct statements for W = = The zero vector is in W If u, v € W, then…

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Q: Suppose the total cost forxtoys isC(x)=2x+5. Suppose the total revenue isR(x)=x(947−5x). What is the…

A: Given , total cost C(x) for x toys is C(x) = 2x+5. total revenue is R(x) = x (947−5x).

Q: According to the information in the picture attached, what is the percentage of green pencils?

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Q: The Sierpinski carpet is a two-dimensional counterpart of the Cantor set. It is constructed by…

A: clearly we can see that....Sierpinski carpet ' and side of square is 1 so, its area is 1 sq. unit…

Q: Let u be a vector and c₁ and c₂ be scalars. Select the best statement. ○ A. c₁ + (u)c₂ = C₁ + C₂u B.…

A: Need to choose the correct statement.

Q: Use the graph of f to evaluate the following: -1 6 5 4 3 2 1 f(x) X 1 2 3 4 5 6 The average rate of…

A: average rate of change=f(5)-f(2)5-2

Q: An airplane whose speed in still air is 760 kph can travel 2000 km flying with a tailwind, in the…

A: We use the formula  Distance = speed × time.

Q: Write a polynomial function f of least degree that has rational coefficients, a leading coefficient…

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Q: Find the following matrix product, if it exists. -8 A. 5 7-2 Select the correct choice below and, if…

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Q: The graph of a function g is shown below. Use the graph of the function to find its average rate of…

A: Graph of a function is given.

Q: Identify the relationship: D

A: A graph of the scatter plot and its regression graph is given, we have to find its relationship.

Q: Find the number of ways to get the following card combinations from a 52-card deck. All diamonds in…

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Q: Calculate the number of ways to generate a password consisting of 6 characters according to the…

A: First three distinct letters of the name. Since the first three letters must be distinct and cannot…

Q: Solve the system using Cramer's Rule. x + 3y + 2z = -19 -5x - 2y + 4z = 29 6x - y - 4z = -22 Find…

A: Given:  x+3y+2z=-19, -5x-2y+4z=29, 6x-y-4z=-22 we can set up the given set of equations as AX = B…

Q: A credit union is offering 30-year home loan with annual rates of 4.1% with 1.5 points or 3.8% with…

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Q: Mary and her husband are each starting a saving plan. Mary will initially set aside $250 and then…

A: Given:- The Amount A=250+165NThe Amount B=395N

Q: (a) 3 inches is what part of a foot? (b) 3 inches is what part of a yard? (c) 2 dimes is what part…

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Q: Construct the truth table for the following statement: (p→~q) v (~p^q) Р T T F F q T F T F

A: We have to construct the truth table for given p and q conditions.

Q: The point (18, 8) is on the graph of y = f(x). - a) A point on the graph of y = g(x), where g(x) =…

A: Solution: Given: y=g(x),

Q: A 5000-seat theater has tickets for sale at $24 and $40. How many tickets should be sold at each…

A: Let $24 tickets sold = x  Let $40 tickets sold = y

Q: ³ let v = 2 and w [12] 3 -3 5 7 ow that is perpendicular to v.

A: Given query is to show the vectors are perpendicular.

Q: Part1)In 1948 an airlift campaign supplied more than 22 million people in West Berlin with food and…

A: Given:  In 1948 an airlift campaign supplied more than 22 million people in West Berlin with food…

Q: -12 1. The half-life of carbon-14 is about 5,730 years. A fossil had 6 picograms of carbon-14 at one…

A: According to question,Given data,Half life of carbon-14 = 5730 years

Q: A contractor builds homes of 8 different models and presently has 3 lots to build on. In how many…

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Q: The function f(x)=x^4 was transformed. Explain how you will create the n

A: given function is   f(x) = x4then we have to explain the tranformaed function :-(a)  H(x)=(x-3)4+7…

Q: A store is having a sale in which all items are marked 30% off. Part A Which equation represents…

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Q: Use the idea in Q1 to cover a 66-by-150 rectangle with d-by-d tiles where d is the largest possible…

A: To cover 66-by-150 rectangle with d-by-d tiles  (a) this is the drawing that is showing how…

Q: Jacky is having  10 coins, comprised of dimes and nickels. She will have a combined value of 80…

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Q: Perform a rotation of axes to eliminate the xy-term. (Use x2 and y₂ for the rotated coordinates.)…

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Q: Solve the given initial value problem using the method of Laplace transforms. y'' + 3y' + 2y =…

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Q: Writing an equation Greg is driving on the highway. He begins the trip with 18 gallons of gas in his…

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Q: Draw a Venn diagram to illustrate each group of sets. A universal set is not given, so choose one…

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Q: 10.2 Determine whether the following functions are p.r. erform a partial fr G (6) (c) (d) (e) F(s)…

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Q: Defining h(x)=3,f(x) as: f(x)={(x+1 if x<1),(1 if 1<=x<3),(2-x if 3<=x):} and g(x) as: g(x)={(|x+1|…

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Q: Find || proj₁u || if u = (2, 4) and a = = (3,-1). NOTE: Enter the exact answer or round the exact…

A: projau=u.aa2a   For two vectors u=u1,u2 and a=a1,a2a.u=a1×u1+a2×u2   For any vector x=x1,x2x=x12+x22…

Q: x-6 ≤2x + 2

A:

Q: 12. Nadia is hosting her sister Elizabeth's birthday party. Elizabeth's favorite dessert is a…

A: There are 78 person attending the party.   One box contains 8 eclairs. So number of box of eclairs…

Q: The length of a rectangle is 4 inches longer than it is wide. If the area is 117 square inches, what…

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Q: Jovan asked 2000 people if they are afraid of spiders. 274 people said yes. What percent of the…

A: The given data is: Total number of people=2000 People afraid from spider is 274

Q: The determinant of the matrix A = 6 7 8 9 6 6 7 89 [1 23 4 5 1 2 3 4 5 1 23 4 5 1 2 3 4 5 1 234 5 1…

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Q: . Consider the function T: R2 R³ given by T(x, y) = (x + 3y, 2x - y, -y). Using the definition of…

A: To solve the following problem and find whether T is a linear transformation.

Q: Given f(x)= 1 find the average rate of change of f(x) on the interval [1, 1+h]. > x+8 Your answer…

A: f(x)=1x+8average rate of change of f(x) in [a,b] is favg=f(b)-f(a)b-a

Q: Let and w be vectors in R". Show that if ||v + w||² = ||v||² + ||w||² then and w are perpendicular.

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Q: For what values of x is the expression √6x-x^2 defined as a real number?

A: A square root function is a function that contains a radical all radicals must be equal to or…

Q: The total cost, in dollars, to produce a bins of cat food is given by C= 14x + 6600. The revenue, in…

A: Given    Profit = Revenue - cost

Q: Write an expression to represent the phrase "9 plus the quotient of wand 4

A: quotient of w and 4 = w4

Q: 1. Using the Laplace transform, solve the initial value problem y" + 4y = 2 0≤t 3 with initial…

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