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yarga [219]
3 years ago
10

The width of a rectangle is "w" inches long. If the length is 4

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Area of rectangle=length(l)×width(w)

In this case,length= w+4

so Area=(w+4)×w

Therefore Area=w^2+4w

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Answer:

v = <-3√2 , 3√2>

v = <-10 , 0>

Step-by-step explanation:

∵ Vector v in the same direction of vector u

∴ u = v/║v║

∵ u = <-3 , 3> ⇒ convert it to unit vector

∴ ║u║ = √(-3)² + (3)² = √18 = 3√2

∵ Unit vector = u/║u║

∴ u = <-3 , 3>/3√2 =<-3/3√2 , 3/3√2>

∴ u = <-1/√2 , 1/√2>

∵ u = v/║v║

∴ u ║v║ = v

∵ ║v║ = 6

∴ v = 6 <-1/√2 , 1/√2>

∴ v = <-6/√2 , 6/√2> ⇒ multiply up and down by √2

∴ v = <-3√2 , 3√2>

∵ Vector v in the same direction of vector u

∴ u = v/║v║

∵ u = <-10 , 0> ⇒ convert it to unit vector

∴ ║u║ = √(-10)² + (0)² = √100 = 10

∵ Unit vector = u/║u║

∴ u = <-10 , 0>/10 =<-1 , 0>

∴ u = <-1 , 0>

∵ u = v/║v║

∴ u ║v║ = v

∵ ║v║ = 10

∴ v = 10 <-1 , 0>

∴ v = <-10 , 0>  

∴ v = <-10 , 0>

4 0
3 years ago
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Jennifer had $256.86 in her bank account. She made a deposit of $43.78. What is her new bank account balance?
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Answer:

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Step-by-step explanation:

Step one:

Given data

Jennifer had $256.86

She made a deposit of $43.78

Required

The total amount in the account

Step two:

To get the balance, we need to sum the previous amount with the deposited amount

Total= 256.86 +43.78

Total=$300.64

The balance is $300.64

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