Answer:
Step-by-step explanation:
10n^2 +4n+15n+6 [Add the like terms]
10n^2 +19n +6
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Answer:
Step-by-step explanation:
4b + 8 = 20
Subtract 8 from both sides
4b + 8 - 8 = 20 - 8
4b = 12
Now divide both sides by 4
4b/4 = 12/4
b = 3
Check:
LHS = 4b + 8
= 4*3 + 8
= 12 + 8
= 20 = RHS
9514 1404 393
Answer:
- 6x +y = -6
- 6x -y = 8
- 5x +y = 13
Step-by-step explanation:
To rewrite these equations from point-slope form to standard form, you can do the following:
- eliminate parentheses
- subtract the x-term
- subtract the constant on the left
- if the coefficient of x is negative, multiply by -1
Of course, any operation you do must be done <em>to both sides of the equation</em>.
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1. y -6 = -6(x +2)
y -6 = -6x -12 . . . . . eliminate parentheses
6x +y -6 = -12 . . . . . add 6x
6x +y = -6 . . . . . . . . add 6
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2. y +2 = 6(x -1)
y +2 = 6x -6
-6x +y +2 = -6
-6x +y = -8
6x -y = 8 . . . . . . . . multiply by -1
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3. y -3 = -5(x -2)
y -3 = -5x +10
5x +y -3 = 10
5x +y = 13
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<em>Additional comment</em>
The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.
Answer:
78 ft³
Step-by-step explanation:
<u />
Volume of a rectangular prism = length × width × height
<u />
<u>Toy Box</u>
- length = 5 ft
- width = 3 ft
- height = 2ft
⇒ volume = 5 × 3 × 2 = 30 ft³
<u>Book Box</u>
- length = 6 ft
- width = 4 ft
- height = 2 ft
⇒ volume = 6 × 4 × 2 = 48 ft³
Total combined volume = 30 + 48 = 78 ft³
