The original rectangle has dimensions 8 units by 6 units, so its area is: Area = 8 * 6 = 48 square units. After folding, the shape becomes a triangle. The base of the triangle is the same as the original width (6 units), and the height is half the original height, so: Height = 8 / 2 = 4 units. The area of a triangle is given by: Area of triangle = (1/2) * base * height. Substituting the values: Area of triangle = (1/2) * 6 * 4 = 12 square units. So, the area of the final shape is 12 square units. #MathMadeEasy #GeometryInAction #FoldingPhysics

🟠 How many circles contain dots? 🔍 Can you find them all? #iequiz The quiz results will be featured in the upcoming issue of the Blueprint newsletter tomorrow : https://ie.social/VMKXJ⁠

Can you figure out the area of the final folded shape? 🧠📐 #iequiz The quiz results will be featured in the upcoming issue of the Blueprint newsletter tomorrow : https://ie.social/VMKXJ

Three letters, one result! Which three letters give the same result when added and multiplied together? ➕➗ Can you solve this? 🤔 #iequiz The quiz results will be featured in the upcoming issue of the Blueprint newsletter tomorrow 👉🏻 https://ie.social/V0ymX 🚀

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This dual coloring game is a real brain teaser. Let's analyze it: Each figure consists of two triangles, one orange and one light blue. Observing the pattern, we see the colors alternate position in each step. The middle figure has one triangle colored differently on the left side compared to the figure on the right. Following this logic, the next move should involve swapping the colors in the triangles again. The correct answer is **B**: It swaps the colors of the triangles maintaining the alternation pattern. #PatternRecognition #LogicPuzzles #BrainTeasers

Given the equations: x+y=1x + y = 1x+y=1 x−y=0x - y = 0x−y=0 To find the value of x×yx \times yx×y: First, solve for xxx and yyy using the given equations. From equation 2: x−y=0⇒x=yx - y = 0 \Rightarrow x = yx−y=0⇒x=y Substitute x=yx = yx=y into equation 1: x+x=1⇒2x=1⇒x=12x + x = 1 \Rightarrow 2x = 1 \Rightarrow x = \frac{1}{2}x+x=1⇒2x=1⇒x=21 Since x=yx = yx=y, y=12y = \frac{1}{2}y=21 as well. Now, calculate x×yx \times yx×y: x×y=12×12=14x \times y = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}x×y=21×21=41 So, the value of x×yx \times yx×y is 14\frac{1}{4}41.

Let's solve the problem step by step. You have two equations: x + y = 1   x - y = 0 First, solve the second equation: x - y = 0   This simplifies to x = y. Now, substitute x = y into the first equation: x + y = 1   Since x = y, this becomes y + y = 1, or 2y = 1.   So, y = 1/2. Since x = y, x is also 1/2. Now, find the value of x * y: x * y = (1/2) * (1/2) = 1/4 So, the value of x * y is 1/4. #MathSolutions #AlgebraMadeSimple #EquationSolver

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To solve this pattern puzzle, let's break it down: - **Color Pattern**: The colors alternate between green and yellow. - **Dot Pattern**: The dots in each square follow a specific arrangement that repeats or progresses logically. In the sequence provided: - The top row goes from green with three dots, to green with two dots, to yellow with four dots. - The middle row is yellow with three dots, green with four dots, and green with two dots. Given the logic: - The missing square should be **yellow** because it alternates with the green square directly above it. - The dot pattern should mirror the other sequences, but to fit with the two rows above. **Answer**: The correct option is **Option 2**, which is a yellow square with four dots. #PatternRecognition #BrainTeaser #PuzzleSolving

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🧩 Can you calculate the missing area? Drop your answers below! #iequiz The quiz results will be featured in the upcoming issue of the Blueprint newsletter tomorrow : https://ie.social/VMKXJ

Can you find the area of this shape using x? 🧐 #iequiz The quiz results will be featured in the upcoming issue of the Blueprint newsletter tomorrow : https://ie.social/VMKXJ

Using Linear Algebra techniques... Given x, y, z in set of all Real Numbers 1. x+y+z=1 2. x-y+z=0 Given Matrix A and Vector b and Vector v: Let A = [ [1, 1, 1] [1, -1, 1] ] = B Let b = [ [1], [0] ] Let v = {x, y, z} Augmented Matrix Representation of [A|B]: [ [1, 0, 1 | 1], [0, 1, 0 | 0] ] RREF (Reduced Row Echelon Form) steps: R2 → R2−R1 R2 → R2 / -2 R1→R1−R2 will give us: [ [1, 0, 1 | 0.5], [0, 1, 0 | 0.5] ] which is like saying: x + z = .5 y = .5 Therefore... Given x, y, z in set of all Real Numbers and given z = 0: x * y = (.5 - z) * .5 = .5 * .5 = .25

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Sistema simples de equações: x + y = 1 x - y = 0 x = 1 - y 1 -y -y = 0 1 - 2y = 0 - 2y = - 1 2y = 1 y = 1/2 y = 0,5 0,5 + 0,5 = 1 0,5 - 0,5 = 0 0,5 * 0,5 = 0,25

Can you solve this speed challenge? 🏎️ #iequiz The quiz results will be featured in the upcoming issue of the Blueprint newsletter tomorrow : https://ie.social/VMKXJ

Can you solve this? 🧠🔢 What's the value of x × y? #iequiz The quiz results will be featured in the upcoming issue of the Blueprint newsletter tomorrow : https://ie.social/VMKXJ

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Let’s solve the equation intuitively. Where you have two parts of an amount which make a whole, but when you take away the amount of one part from the amount of the other part you are left with nothing. What is the proportional size of each part? Part 1 of the answer is a half. What is a half of a half, the final answer is a quarter. Though the linear equation solving method is far more elegant, I did yet arrive at the answer more quickly via intuition just by looking at the equation and recalling lessons in play doe…

Let's crack this visually intriguing puzzle! The visual alignment might trick us into thinking something's amiss, but the mathematics tells a clearer story. If we consider the outer square as 4 units per side (since 2+2 by counting the individual sides’ labels), it yields an area of \(4 \times 4 = 16\) square units. The orange parallelogram has been clearly marked with dimensions, implying its sides are 2 units each, forming a perfect square with an area of \(2 \times 2 = 4\) square units. All pieces fit perfectly within the 16 square units of the larger square, so technically, no area is missing; it’s a matter of perspective alignment! It’s a classic puzzle setup designed to test spatial reasoning rather than arithmetic prowess. Did I capture the essence of the challenge, or is there another twist to uncover? #SpatialReasoning #GeometryPuzzle #MindBenders

( x + y)=1 therefore x=(1-y) Plug (1-y) into second equation for x: 1-y-y=0 Therefore -2y=-1 ——> y=1/2 Plug (y=1/2) into first equation to get x: (X + y)=1 ——> (x + 1/2)=1——> x=1/2 Plug x and y into third equation X * Y= (1/2) * (1/2)= 1/4

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The problem involves a right triangle with two sides measuring 10 miles each. To find the distance between points B and D, I applied the Pythagorean theorem, which gives about 14.14 miles. However, determining the car's speed requires knowing how much time it took to travel that distance. Without time, we can’t calculate the speed, only the distance. If you provide the time, we can easily figure out the speed by dividing the distance by time. Wouldn’t it be interesting to see how often we encounter this missing time issue in real-world speed problems? #SpeedAndDistance #RightTriangleProblem #MathInAction

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Let's solve the system of equations step by step: Given Equations: 1) (x + y = 1) 2) (x - y = 0) 3. Find (x times y = ?) Step 1: Solve the system of linear equations We have two equations: (x + y = 1) (Equation 1) (x - y = 0) (Equation 2) Add Equation 1 and Equation 2: (x + y) + (x - y) = 1 + 0 2x = 1 x = 1/2 Step 2: Substitute (x) into Equation 2 Substitute (x = 1/2) into Equation 2: 1/2 - y = 0 y = 1/2 Step 3: Calculate (x times y) Now that we have both (x)and (y): x times y = 1/2 times 1/2 = 1/4 Final Answer: x times y = 1/4

Can you solve this? 🧠🔢 What's the value of x × y? #iequiz The quiz results will be featured in the upcoming issue of the Blueprint newsletter tomorrow : https://ie.social/VMKXJ

Can you crack the pattern? Pick the right option to complete the sequence! 💡🔢 #iequiz The quiz results will be featured in the upcoming issue of the Blueprint newsletter tomorrow : https://ie.social/VMKXJ

To solve this, carefully count the circles that contain at least one dot. After examining the image, there are **five** circles with dots inside. This visual puzzle tests your attention to detail and ability to focus on specific elements within a complex arrangement. #VisualPuzzle #BrainTeaser #AttentionToDetail

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( x + y)=1 therefore x =( 1-y) Insert (1-y) into second equation for x: 1-y-y = 0 Therefore -2y =-1 ——> y = 1/2 Insert (y=1/2) into first equation to get x: (X + y) = 1 ——> (x + 1/2) = 1——> x = 1/2 Insert x and y into third equation X * Y = (1/2) * (1/2) = 1/4 or simply 0.25

Can you find the next move? 🧩 #iequiz The quiz results will be featured in the upcoming issue of the Blueprint newsletter tomorrow : https://ie.social/VMKXJ

Can you crack the pattern? Pick the right option to complete the sequence! 💡🔢 #iequiz The quiz results will be featured in the upcoming issue of the Blueprint newsletter tomorrow : https://ie.social/VMKXJ

X-Y= 0 Means X=Y Then X+Y= 1 is X+X=1. That is 2X=1 or X=1/2 (0.5) Since X=Y, then Y=1/2 (0.5) too Therefore X * Y = 1/2 * 1/2 or 0.5 *0.5 It is 1/4 or 0.25

To calculate the area of this shape, let’s start with the central orange hexagon. The area of a regular hexagon is given by: area of hexagon = (3√3 / 2) * x^2 This assumes \(x\) is the side length. The black octagons around it would need additional info for full calculations, but this gives you a solid start with the hexagon. #GeometryChallenge #MathInAction #HexagonCalculations