Maths-
General
Easy
Question
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
The correct answer is: 4 + 3 + 2 + 1 = 10
We have given the 5 non-collinear points
We have to find the number of ways to connect the different pairs of points
We will consider figure
![](data:image/png;base64,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)
We will consider the points from A to E
Here we will consider point A
Point A have 4 options to pair, that are B, C, D, E.
If we consider point B then,
Point B have 3 points to pair that are C, D , E. Because we have considered the pair with A before.
If we consider point C then,
Point C have 2 points to pair, that are D, E.
If we consider point D then
Point D have 1 point to pair, that are E.
Therefore total number of ways the points can be paired is = 4 + 3 + 2 + 1 = 10
We will consider the points from A to E
Here we will consider point A
Point A have 4 options to pair, that are B, C, D, E.
If we consider point B then,
Point B have 3 points to pair that are C, D , E. Because we have considered the pair with A before.
If we consider point C then,
Point C have 2 points to pair, that are D, E.
If we consider point D then
Point D have 1 point to pair, that are E.
Therefore total number of ways the points can be paired is = 4 + 3 + 2 + 1 = 10
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Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![2 x squared minus 28 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![2 x squared minus 28 x plus c](data:image/png;base64,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)
Maths-General
Maths-
A box is in the form of a cube with an edge 8 cm long, find the cost of a painting outside the box and on all the surfaces at the rate of Rs 7 per m2.
A box is in the form of a cube with an edge 8 cm long, find the cost of a painting outside the box and on all the surfaces at the rate of Rs 7 per m2.
Maths-General
Maths-
A box is in the form of a cube with an edge of 7 cm long. Calculate the total length of the edges
A box is in the form of a cube with an edge of 7 cm long. Calculate the total length of the edges
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
3, 1, 1/3 , 1/9 , …
Describe the pattern in the numbers. Write the next number in the pattern.
3, 1, 1/3 , 1/9 , …
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![3 x squared plus 24 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![3 x squared plus 24 x plus c](data:image/png;base64,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)
Maths-General
Maths-
Write the factored form of the given expression.
![3 x squared plus 18 x plus 27](data:image/png;base64,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)
Write the factored form of the given expression.
![3 x squared plus 18 x plus 27](data:image/png;base64,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)
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
1, 3/4 , 1/2 , 1/4 , …
Describe the pattern in the numbers. Write the next number in the pattern.
1, 3/4 , 1/2 , 1/4 , …
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![6 x squared minus 36 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![6 x squared minus 36 x plus c](data:image/png;base64,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)
Maths-General
Maths-
Make and test a conjecture about the sum of two even numbers
Make and test a conjecture about the sum of two even numbers
Maths-General
Maths-
Write the factored form of the given expression.
![4 x squared minus 56 x plus 196](data:image/png;base64,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)
Write the factored form of the given expression.
![4 x squared minus 56 x plus 196](data:image/png;base64,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)
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared minus 10 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared minus 10 x plus c](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF0AAAARCAYAAAC/66DUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAdRJREFUeNpjYCAd/IfiX0B8FIhVGEYB3QATEGcB8bnRoKA/+DEaBPQF9kB8cDQY6AckoWW6Eg3tUAPiWiC+gEcNHxBPA+KTUDwTKjbsACgwtkADnpZgMRCnQStuXGAvEPsh8X2gYsMuhW+jc2rCFeihQDwJi/gEII6kozvIBslA3IFFvBkqBwOgANegc0Tj8uwaIHbDIu4IlSPHf9QMdB4g7gLip9Am9jogFkRXBGr+iSPxE4F4Co52OjIeqEB/B8RsWMRBYi+xiBPjP2oFOg/UvlZoqQByUwm0+EMBHkDcB2W7DKKyEZdn/+DR8wuLGKX+IyXQO3AUfVjBbmhTENRiEKZCYBHCtAr0H1TwH7nuB3UcX2MrSnCBAmgq0RtElTcuz73EUbxw4CheKPUfsYnEFIgPE2uoNbQC6qNR7U+LitQDi7gbloqUGv4jNtC9oJUmQQDq5GwCYi5oJXCGCsULrQM9CIhnYxGfjyVQqeE/YgPdGIhvEFIkCm0KCqN1MhYP8kAHgf3QIoMFWtRUYxmaoJb/SKlIL0BbLizQ1ksBNKfBm1egrCCNReNyHNmXnoFNqOICVVZzoRXnN+gwAA9a83Eg/CcLjXxQZX+JhL7AKKAFAACS/YSr0A07RwAAAJp0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+JiN4MjIxMjs8L21vPjxtbj4xMDwvbW4+PG1pPng8L21pPjxtbz4rPC9tbz48bWk+YzwvbWk+PC9tYXRoPklUcvcAAAAASUVORK5CYII=)
Maths-General
Maths-
Make and test a conjecture about the number of diagonals of a pentagon. Write a conjecture for the general case.
Make and test a conjecture about the number of diagonals of a pentagon. Write a conjecture for the general case.
Maths-General