Answer:
= 3a + 7b - 8c
Step-by-step explanation:
In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.
Horizontal Method: In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.
(6a + 8b - 7c) + (2b + c - 4a) + (a - 3b - 2c)
= 6a + 8b - 7c + 2b + c - 4a + a - 3b - 2c
Arrange the like terms together, then add.
Thus, the required addition
= 6a - 4a + a + 8b + 2b - 3b - 7c + c - 2c
= 3a + 7b - 8c
Column Method: In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise.
6a + 8b - 7c
- 4a + 2b + c
a - 3b - 2c
3a + 7b - 8c
= 3a + 7b - 8c
Answer:
Force required, F = 20 pounds
Step-by-step explanation:
We have given,
force needed to stretch a spring , F = 12 pounds
Stretched length, x = 9 inches
Since, spring force formula can be given as: F = kx
i.e 12 = k · 9
or k =
= 4/3
Now we need to find force for the stretch length = 15 inches
i.e F = kx , here x =15inches , k = 4/3 and F= ?
or F = (4/3) · 15
or F = 20 pounds
Hence force required, F= 20 pounds
The simplest form of the given expression is 5x^3-5x^2.
We have given that

We have to determine the simplest form of the given expression.
<h3>
What is the distributive property?</h3>
The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.
Use the distributive property we get,

Add like terms we get,
Therefore we get,

Therefore the simplest form of the given expression is 5x^3-5x^2.
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ANSWER
The length of

EXPLANATION
The object length given to us is,

The scale factor of the dilation is,

The image length can be calculated using the formula

We substitute the given values into the formula to get,

We multiply out to obtain,
Answer:
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