1. Two numbers when multiplied equals 40.If one number is x and theother number is less than x by 3a) Represent the information given in equation formb) Express as a quadratic equationc) Solve the quadratic equation to find possible values for xd) If told that the two number were positive, give the values of the two original numbers.

Q: Use the proof by cases to prove that there are no solutions in integers x and y to the equation 4x?…

A: Here we use the fact that x2≥0 and y2≥0 and will be square of some integers. So possible values of…

Q: A piggy bank was filled with only quarters ($0.25) and nickels ($0.05). If there was exactly 51…

A:

Q: (3) Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a…

A: Given:The width of the bottom rung is 49 inchesThe width of the top rung is 19 inches.Also, each…

Q: Given any three lengths, it is possible to draw a triangle. Which of the following scenarios does…

A: For the triangle

Q: [20] Find the general solutions of 4y" – y = 8et/2 2+ et/2

A:

Q: Show the solution.  1) What kind of triangle whose lengths of the sides are 11, 15, and 9? 2) A…

A:

Q: In Circle O, is a diameter, is a secant, and  is a tangent. If the measure of arc DC is 3 less than…

A: The measure of arc DC is 3 less than twice the measure of arc AD.

Q: Qeston#l Simplex methed to solve the Use Hoblems. Max: Sait 422 felanwing Subject to 321+232 t 12…

A: Given the maximization problem is, Max: z=5x1+4x2 Subject to  3x1+2x2≤12x1+2x2≤6x2≤2-x1+x2≤1where,…

Q: How many non-negative integer solutions are there to the equation 21 + x2+ x3 + x4 + æ5 = insist…

A:

Q: 13. AQRS is an equilateral triangle. If QR is seven less than twice x, RS is 61 less than five times…

A: Given that  ∆QRS is an equilateral triangle   QR is seven less than twice x. Hence,QR=2x-7RS is 61…

Q: of the lengths of any two sides of a triangle is greater than the length of the third side. What can…

A: In a triangle ABC , AB, BC and AC are the sides of a triangle. Inequalities of a triangle, AB+AC…

Q: Four of the interior angles of a hexagon measure 92°92°, 100°100°, 94°94°, and 140°140°. The…

A: Sum of interior angles of a hexagon is 720 degrees

Q: 16 22 The length of the unknown side has to be greater than and less than

A: In triangle length of any side must be Greater than difference of other two side and must be less…

Q: Suppose you are standing such that a 30-foot tree is directly between you and the sun. If you are 5…

A:

Q: If AC = x+ 11, and AB = 20 solve for x. B

A:

Q: 4) Niko owns a dog-training facility and wants to create a ramp for the dogs to run up a platform.…

A:

Q: х3 — 2х? - 5 %3D0, [1,4]

A: Sol

Q: 2o Solve by veritadion oð jerameders m peramelers y"ty -secx

A: The given differential equation is y''+y=sec x              (i)

Q: The value of x such that 8x + 4, 6x – 2, 2x+7 will be consecutive terms in an AP is

A:

Q: Complete

A:

Q: 11. Without solving, determine the number of real solutions for each quadratic equation. Show work.…

A: Given:- a) 5q²-3q-6=0 b) 3y²-5y +9=0  To find:- Number of real roots of given quadratic equations

Q: 2. consider the equation 2ri – 3x2 + x3 + X4 = 3 (a) In te six possible combinations, set any two of…

A: Given equation2x1-3x2+x3+x4=3The all six  possibilities of equations with any two variables equal to…

Q: 9) THE SUM OF THE ANGLES OF A TRUANGLE IS 180 (F THE ECOND ANGUE IS TTREE TIMES THE SI2E OF THE SMA…

A: Since we know that for a triangle ΔABC Sum of angle of a triangle = 1800  That means ∠A+∠B+∠C=180°

Q: The perimeter of a triangle is 62 in. The longest side is 13 in. longer than the medium side, and…

A: SOLUTION-

Q: Given: If x= 3 paincesei 4x +6 22 Prove: Proof: Assume that equation by is false. So we add -6 to…

A: Given:  x=3 To Find:  To prove 4x+6≠22

Q: If AC = x + 8, and AB = 25 solve for x. B

A: if two tangents are drawn to a circle from a single point then there lengths are equal

Q: 14. Greg starts his typical morning jog at point (4, 7) and runs to work which is at point (9, 12).…

A:

Q: How many non-negative integer solutions are there to the equation x1 + x2 + x3 = 13, if we insist…

A:

Q: O#1.- Solve ine following diffeodeal egpeation method. s fmodiped Eules's 2. 9x-799) =9

A:

Q: 19) 41° C 5.3

A:

Q: 19. Find the exact solutions and simplify as much as possible: 2x2 + 9 = 12x. Show work.

A: Given equation:

Q: Solve the smultaneaus equations belas 10 and L t =4 xyこ %3D

A:

Q: As nemo swims on the bottom of 120 foot ocean, he spots his Dory at surface of the water at an anglo…

A: Nemo swims on the bottom of the 120-foot ocean, he spots his Dory at the surface of the water at an…

Q: If AC = x + 11, and AB = 23 solve for x. %3D

A: Given that     AC= x+11  and AB= 23 We have to find the value of x.

Q: A circle has a radius of 16 inches. In it is inscribed an equilateral triangle. In the triangle is…

A:

Q: If the area of a triangle with vertices (5,2), (k, 4), and (0, -3) is 12 ½, solve for the possible…

A:

Q: Solve for u, where u is a real number, 4√u = 2, if there is more than one solution, seperate with…

A: To determine: The value of u, where u is a real number, 4√u = 2

Q: 1 ne - T zdyaxdz = 1-x 6 |

A:

Q: How many solutions are there to the equation:x1 + x2 + x3 + x4 + x5 = 25such that x1 ≥ 1, x2≥ 5, x3…

A:

Q: 2. Without solving them, find the point of intersection of L, and L2.

A:

Q: The sum of the reciprocals of two consecutive positive even integers is . Find all pairs of integers…

A: Let n and n+2 be consecutive even integer.

Q: 1-A box with a square base and no top is to be made from a square piece of carboard by cutting 2 in.…

A: As per the bartleby guidelines for more than one question only one has to be solved ,please upload…

Q: How many non-negative integer solutions are there of the equation: x + y + z + w = 15, such that w=5…

A: If we have an equation of the form x⩾a then the variable x can take up any value greater than or…

Q: A gopher has dug holes in opposite corners of a rectangular yard. One length of the yard is 6.5…

A: We will find the width.

Q: How many solutions are there to the equation x₁ + x₂ + x3 = 22, if each x, is a positive integer?…

A:

Q: How many solutions are there to ax + b = 0 with a 0?

A: Given  ax+b=0   ;  a≠0

Q: How many real-number solutions are there to the quadratic equation 2x2 + 5x + 1 = 02 a. eslim b. 1…

A:

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 is whereas…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Solve for x and y, using GEOMETRIC conjectures, etc. (Someone answered this with what looked like…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.