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3 years ago

Which formula shows how the length of the rectangle can be determined by the width and perimeter?

Mathematics

1 answer:

tangare [24]3 years ago

8 0

Answer:

(P/2) - W = L

Step-by-step explanation:

P = Perimeter

W = Width

L = Length

Formula of Perimeter

=> P = 2L + 2W

Now, let's simply that formula to make L alone.

=> P/2 = 2L/2 + 2W/2

=> (P/2) = L + W

=> (P/2) - W = L + W - W

=> Length = (P/2) - W

For example, let's take the perimeter of a rectangle is 14cm. Its width is 2cm. Length is L

Using the formula,

=> (P/2) - W = L

=> (14/2) - 2 = L

=> 7 - 2 = L

=> L = 5

Let's plug in our answer.

=> 2(5) + 2(2) = 14

=> 10 + 4 = 14

=> 14 = 14

So, our formula is correct.

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3 years ago

Which vector matrix represents the reflection of the vector <-1,5> across the line x = y

Arturiano [62]

Answer:

$V = \left[\begin{array}{ccc}5&-1\end{array}\right]$

Step-by-step explanation:

We want to reflect this 2x1 vector on the line y = x.

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$\left[\begin{array}{ccc}-1\\5\end{array}\right]x\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]\\\\\\\left[\begin{array}{ccc}-1(0) +5(1)&-1(1)+5(0)\end{array}\right]\\\\\\\left[\begin{array}{ccc}5&-1\end{array}\right]$

The vector matrix that represents the reflection of the vector <-1,5> across the line x = y is:

$V = \left[\begin{array}{ccc}5&-1\end{array}\right]$

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3 years ago

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3 years ago

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