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icang [17]
3 years ago
14

Simplify the expression. 3(a+b)+6a-2b

Mathematics
2 answers:
IgorC [24]3 years ago
8 0

Answer:

9a+b

Step-by-step explanation:

3(a+b)+6a-2b

Distribute

3a+3b +6a -2b

Combine like terms

3a+6a+3b-2b

9a+b

sveta [45]3 years ago
3 0

Answer:

The answer is 9a+b

Step-by-step explanation:

3a+3b+6a+-2b

(3a+6a)+(3b+-2b)

=9a+b

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Given that u =< 2,12 >, and z =< -7,5 >
swat32

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩   ⇒   ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩   ⇒   ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

7 0
2 years ago
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Answer:

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Step-by-step explanation:

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How many periods of time, each 1/3 of an hour long, does,a 8- hour period of time represent
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1/3 of an hour = 20 minutes

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Answer:

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Step-by-step explanation:

10–{22–[(−9)+(−11)]}

Work inside out

10–{22–[(-20)]}

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Answer:

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