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kondor19780726 [428]
3 years ago
11

Which trinomail is the product of the expression below?

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0
Foil or something


FOIL
First
Outer
Inner
Last

multipliy

First: k times k=k²
Outer: k times -1=-k
Inner: -3 times k=-3k
Last: -3 times -1=3

add

k²-k-3k+4=
k²-4k+4


B
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Step-by-step explanation:

If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs do not classify the relationship as a function.

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3 years ago
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

6 0
3 years ago
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garri49 [273]

Answer:

18

Step-by-step explanation:

since U is the midpoint of QT, QT = 2(QU)

similarly, QS = 2 (QR)

because QR is parallel to QS and QU is parallel to QT, triangle QUR is similar to triangle QTS. therefore, the scaling factor between QT/QU and QS/QR is equal to the scaling factor between RU and ST.

therefore,

ST  = 2(RU)

36 = 2(RU)

18 =RU

3 0
3 years ago
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