If you are given five data points, How many quadratic splines will you have? How many number of unknowns will you need to solve? How many equaitons will you need to find?

Q: 2) The length of a rectangle is 5 cm less than three times its width. If the perimeter of the…

A: length of rectangle is 19cm and width of the rectangle is 8cm

Q: the length of the rectangle is 4m more than its width. if its perimeter must be at least 40m…

A: We have to solve given problem:

Q: Suppose that the length of a rectangle is 3 times the width. If the area is 300 square feet, then…

A: The explanation of the solution as follows:

Q: A​ triangular-shaped deck has one side that is 4 feet longer than the shortest side and a third side…

A: Given A​ triangular-shaped deck. Let the shortest side be x feet. So according to the question; one…

Q: you have 80 meters of fencing and want to enclose a rectangular area up against a long, straight…

A: Given:- If you have 80 meters of fencing and want to enclose a rectangular area up against a long,…

Q: If 5 cm and 3 cm are added to the length and width of a square, the perimeter of the resulting…

A: Given data:   The final length of the rectangle is L=x+5. The final width of the rectangle is B=x+3.…

Q: Find the dimensions of a rectangle whose width is 7 meters less than its length, and whose area is…

A: Answer:  the dimension of rectangle : length and width are as follows :

Q: Find three real numbers whose sum is 9 and the sum of whose squares is as small as possible.

A:

Q: (a) Sum of the areas of two squares is 850 m2. If the difference of their perimeters is 40 m. Find…

A: Let x and y be the sides of two squares. According to the given, Sum of the areas of two squares =…

Q: The second side of a triangular deck is 4feet longer than the shortest​ side, and the third side is…

A: We have given,

Q: The length of a rectangle in terms of x is x - 2x + 3, and its width is 4x - 5, what is the…

A: To find the perimeter of the rectangle

Q: The second side of a triangular deck is 6 feet longer than the shortest side, and the third side is…

A:

Q: The length of a rectangle is 7 inches longer than it is wide. If the area is 198 square inches, what…

A: Put width =x and length = x+7 and solve for area.

Q: The second side of a triangular deck is 5 feet longer than the shortest​ side, and the third side is…

A:

Q: The length of a rectangle is 5 inches longer than it is wide. If the area is 84 square inches, what…

A: Let the width be 'x', then the length is 'x+5' Area = 84 square inches ∴ x(x+5) = 84 => x2 + 5x -…

Q: The second side of a triangular deck is 5 feet longer than the shortest side, and the third side is…

A:

Q: A rectangular piece of land whose length is twice it’s width has a diagonal distance of 96 yards.…

A: A rectangular piece of land whose length is twice its width has a diagonal distance of 96 yards.

Q: The length of arectangle is one inch less than three times its width. If the perimeter of the…

A:

Q: The length of a rectangle is 44 m longer than its width and the area of the rectangle is 320320 m22.…

A:

Q: The length of the first side of a triangle is twice the length of the second side, and the length of…

A: We know that perimeter of triangle is , P = a + b + c  Here a , b and c are the sides of triangle .

Q: In a basketball league consisting of 12 teams, each team plays each of the other teams exactly…

A: Let's do the calculation if the teams play exactly one game with each team. In this case number of…

Q: The length of a rectangle is 2 cm longer than its width. If the perimeter of the rectangle is 48 cm,…

A:

Q: In a 45-45-90 triangle, the hypotenuse is _________ times as long as each leg

A: In a 45-45-90 triangle, the hypotenuse is ______√2___ times as long as each leg

Q: A man can seed a large field in 8 hours. His daughter can do the job in 6 hours. If she starts an…

A:

Q: A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and…

A: Given- A flower bed is in the shape of a triangle with one side twice the length of the shortest…

Q: The length of a rectangle is 10 m more than its breadth. If the perimeter of rectangle is 80 m, find…

A:

Q: If the product of five consecutive even integers is equal to one of the integers,what is the largest…

A: Let a, b, c, d, e be five consecutive even integers.It is given that product of five consecutive…

Q: A rectangular garden has a width of 20 feet and a length of 24 feet. If eachside of the garden is…

A:

Q: The length of a rectangle is 3 feet less than 4 times its width.  If the perimeter of the rectangle…

A: Given that length of the rectangle is 3 feet less than 4 times its width and the perimeter of the…

Q: The second side of a triangular deck is 5 feet longer than the shortest​ side, and the third side is…

A:

Q: A piece of wire36cm long is cut into two​ pieces, each to be bent to make a square. The length of a…

A: Given: The length of the wire is 36 cm and cut into two pieces.  each to be bent to make a square.…

Q: Find the dimensions of a rectangle given that its perimeter is 86 cm and its length is 1 cm more…

A:

Q: A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and…

A:

Q: If the length of a certain rectangle is  decreased by 4 feet and the width is increased by 3 feet ,…

A:

Q: The length of a rectangle is 3 yd longer than its width. If the perimeter of the rectangle is 50 yd,…

A:

Q: Find three consecutive even integers such that the square of the third is 68 more than the sauare of…

A: Let 3 consecutive integers are x-2, x, x+2 according to question square of third is 68 more then…

Q: A certain triangle has a perimeter of 3083mi. The shortest side measures 74mi less than the middle​…

A:

Q: A board of length (3x* + 9x - 6) meters is to be cut into three pieces of the same length. Find the…

A:

Q: find two consecutive even integers if the sum of their squares is 164

A:

Q: The length of a rectangle is 3 cm longer than twice its breadth. If the perimeter of the rectangle…

A: From the given data:

Q: The length of the rectangle exceeds its breadth by 3 cm. If the length and breadth are each…

A:

Q: Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given…

A:

Q: A flower bed is in the shape of a triangle with one side twice the length of the shortest side and…

A: We need to find shortest side.

Q: Find the dimensions of rectangle whose perimeter is 28 and whose area is 40 square metres

A:

Q: the area of a rectangle is x2+3x-40. If the length is x+8, what is its width?

A: The area function of the rectangle is given by the quadratic equation, A=x2+3x-40 The given area…

Q: The second side of a triangular deck is 4 feet longer than the shortest side, and the third side is…

A:

Q: Find the dimensions of a rectangle whose perimeter is 22 feet and whose area is 24 square feet.

A: The perimeter of a rectangle: Perimeter=2(l+w) Area of a rectangle is; Area=l×w Where, l is the…