2x2(6x – 1) – 3(6x – 1)
6x(2x2 – 3) – 1(2x2 – 3)
6x(2x2 + 3) + 1(2x2 + 3)
The factorization of the given expression by grouping yields(6x-1)(2x²+3).
Factorization is a way in which the common factors of the terms in an algebraic expression are found. We have the expression 12x^3-2x²+18x-3 in which are to factorize by grouping.
In order to carry out this factorization by grouping we have to perform the following steps;
12x^3-2x²+18x-3
2x²(6x-1)+3(6x-1)
(6x-1)(2x²+3)
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Answer:
I would say about 60 to 70 pounds. But I have no more information from you to better answer your question, so that's all I have right now.
Step-by-step explanation:
Answer:
Two shapes have corresponding congruent parts if and only if the shapes are congruent and one shape can be mapped to the other using a series of rigid transformations. (The first option)
Step-by-step explanation:
The other three statements are false.
Two shapes can have corresponding congruent parts without being congruent. For example, a square and a rectangle can have congruent sides, but they are not congruent shapes.
Two shapes can be congruent without being able to be mapped to each other using a series of rigid transformations. For example, a sphere and a cube are congruent shapes, but they cannot be mapped to each other using only rigid transformations.
Two shapes can be non-congruent and be able to be mapped to each other using a series of rigid transformations. For example, a square and a rectangle can be mapped to each other using a combination of a rotation and a translation.
Using equations, the two numbers are 27 and 13, with the first number being 14 less than the second number, and their sum is 40.
Let's represent the two numbers as x (the second number) and y (the first number).
According to the given information:
The first number is 14 less than the second number: y = x - 14
When she adds them, she gets 40: x + y = 40
Now, we can use these two equations to find the values of x and y.
Substitute the value of y from the first equation into the second equation:
x + (x - 14) = 40
Now, solve for x:
2x - 14 = 40
2x = 54
x = 27
Now that we have the value of x, we can find y using the first equation:
y = x - 14
y = 27 - 14
y = 13
So, the two numbers are 27 and 13.
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Answer:
34 and 6 =40
Step-by-step explanation:
40 divided by 2=20 20-14=6 14+20=34