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3 years ago

8

Natasha is 12 years old. Her teacher is 36 years old. Which ratio represents Natasha's age in 4 years to her teacher's age in 4

years? *

1 answer:

Ainat [17]3 years ago

5 0

Answer:

I’m pretty sure it’s 1:3

Step-by-step explanation:

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Select the undefined term that best defines the arrow pictured<br><br> point<br> line<br> plane

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The answer is B. Line.

That is because a point is just a dot and lane is represented by a rectangle or a parallelogram.

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3 years ago

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The notation Ak meas the matrix A Multiplied with itself k times (a) For the 2×2 identity matrix I, show that I2 =I (b)For the n

djverab [1.8K]

Answer:

Entries of I^k are are also identity elements.

Step-by-step explanation:

a) For the 2×2 identity matrix I, show that I² =I

$I^{2}=\left[\begin{array}{cc}1&0\\0&1\end{array}\right] \times \left[\begin{array}{cc}1&0\\0&1\end{array}\right] \\\\=\left[\begin{array}{cc}1\times 1+0\times 0&1\times 0+0\times 1\\0\times 1+1\times 0&0\times 0+1\times1\end{array}\right] \\\\=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

Hence proved I² =I

b) For the n×n identity matrix I, show that I² =I

n×n identity matrix is as shown in figure

Elements of identity matrix are

$\delta I_{ij}=1\quad if\quad i=j\\\delta I_{ij}=0\quad if\quad i\ne j\\$

As square of 1 is equal to 1 so for n×n identity matrix I, I² =I

(c) what do you think the enteries of Ik are?

As mentioned above

$\delta I_{ij}=1\quad if\quad i=j\\\delta I_{ij}=0\quad if\quad i\ne j\\$

Any power of 1 is equal to 1 so kth power of 1 is also 1. According to this Ik=I

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3 years ago

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Answer:

17x(1 -2y)

Step-by-step explanation:

34xy = 17x * 2y

17x - 34xy = 17x - 17x*2y

=17x( 1 - 2y)

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3 years ago

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3 cups!
2 (cups) make 20 biscuits so 1 cup makes 10
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As we can observe,
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so,
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