Maths-
General
Easy
Question
Identify the missing terms.
![x squared plus 11 x plus 24 equals left parenthesis ? plus 3 right parenthesis left parenthesis x plus ? right parenthesis](data:image/png;base64,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)
Hint:
factorize the LHS by taking common terms out and match the factors with RHS.
The correct answer is: x and 8 are the missing terms
ANS :- x and 8 are the missing terms
Given, ![x squared plus 11 x plus 24](data:image/png;base64,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)
Write ![11 x text as end text 3 x plus 8 x text then we get end text x squared plus 3 x plus 8 x plus 24](data:image/png;base64,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)
Take x common from 1st two and 8 common from last two we get ![x left parenthesis x plus 3 right parenthesis plus 8 left parenthesis x plus 3 right parenthesis](data:image/png;base64,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)
Now, take x + 3 as common We get ![6 x squared minus 60 x plus 150 equals left parenthesis x plus 3 right parenthesis left parenthesis x plus 8 right parenthesis](data:image/png;base64,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)
∴ upon comparing x and 8 are the missing terms respectively.
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Maths-
Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure.
![](data:image/png;base64,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)
Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure.
![](data:image/png;base64,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)
Maths-General
Maths-
What is the factored form of
![6 x squared minus 60 x plus 150](data:image/png;base64,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)
What is the factored form of
![6 x squared minus 60 x plus 150](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
The area of a rectangular rug is
. Use factoring to find possible dimensions of the rug. How are the side lengths related? What value would you need to subtract from the longer side and add to the shorter side for the rug to be a square?
The area of a rectangular rug is
. Use factoring to find possible dimensions of the rug. How are the side lengths related? What value would you need to subtract from the longer side and add to the shorter side for the rug to be a square?
Maths-General
Maths-
Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)
Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)
Maths-General
Maths-
Level: Medium
i)![100 minus 16 y squared](data:image/png;base64,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)
Level: Medium
i)![100 minus 16 y squared](data:image/png;base64,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)
Maths-General
Maths-
The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)
The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)
Maths-General
Maths-
For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)
For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)
Maths-General
Maths-
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
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In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![x squared minus 20 x plus 100](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHIAAAARCAYAAAABvfiJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAglJREFUeNpjYCAd/IfiX0B8FIhVGEbBkAZMQJwFxOdGg2J4gB+jQTD0gT0QHxwNhqENJKF1pBINzLYG4jVA/AlaF18A4mgcavmAeBoQn4TimVCxwQDUgLgW6n4GCt1PE3+CHLgFGpm0AKBcHgnEPFC+FjTRRGJRuxeI/ZD4PlCxwQAWA3EatHGICxDrfqr7ExR52wYg1csD8SU0sVAgnoRF7QQckU4p+E9lfcS6nyR/JgNxBxbFzVA5GABFosYgaViBil83LOocoXLk+I+eEUms+0nxJxiAuhLiSPxEIJ6Cox+JjOkBLKHFKzJ4B8RsWNSCxF6S6T96RiSx7ifVnwweQNwHZbsMorqGA1rBW6OJ/8Gj5xcN/EftiCTW/aT6Ewx2Q7sVoJaWMBXqFEKYEBAE4g04ipY/ZPRvSfEfNdxPbkT+oNCfDAXQWNYbBDlRCRqJuIYBX+IocjhwFTkU+o/aOZJY95PsT1j/rY9GrT5SAKhBNRuIufCoWQMtLtGBG45GAKX+o0Vjhxj3k+RPUOrfBA04UP/tDBWKVnIBqEGyCohZCKgLgkY2OpiPJaKo4T9qRySx7ifan6LQboUwWodz8QBF5BYSujj7ocUlC7T4qWbAHDaklv+oHZHEup8odSDBdUAsjUXzchxZmtaAlMYFqDE0F1rpf4MOXfEMEv9Rw/2kqhsFQxkAAE2qvm/Oa1SPAAAAnHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjIwPC9tbj48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4xMDA8L21uPjwvbWF0aD4NjzzrAAAAAElFTkSuQmCC)
Maths-General
Maths-
A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?
A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?
Maths-General
Maths-
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![A equals x squared minus 4 y squared](data:image/png;base64,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)
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![A equals x squared minus 4 y squared](data:image/png;base64,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)
Maths-General
Maths-
A cone of height 11 ft has a radius 7 ft, find its volume in cubic meter?
A cone of height 11 ft has a radius 7 ft, find its volume in cubic meter?
Maths-General
Maths-
Write the factored form of the given expression.
![3 x squared plus 30 x plus 75](data:image/png;base64,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)
Write the factored form of the given expression.
![3 x squared plus 30 x plus 75](data:image/png;base64,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)
Maths-General