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ddd [48]
3 years ago
8

Please do part A and part B on number 9!

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0

Answer:

A=5

B=4

Step-by-step explanatation

so the 3ft at the front and the 8ft at the back, you do 8-3 which is 5 which will be A and on the side, it is 8ft and since the corner angle is 4ft then B will be 8-4 which is 4

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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

6 0
3 years ago
A sauce recipe calls for a cup of chicken broth. To make enough sauce for a party, Marcy needs to triple the
tia_tia [17]

Answer:

She estimates that the tripled recipe will need  

✔ less than 3

cups of chicken broth.

The exact amount of chicken broth needed is  

✔ 9/4

cups.

Step-by-step explanation:

4 0
3 years ago
How to i devide decimalls?
sashaice [31]

Any decimal whole number can be written as a whole number multiplied by a power of 10. For example,

3 = 3 × 10⁰

100 = 1 × 10²

15,000 = 15 × 10³

The power of 10 that you need depends on how many trailing zeroes you want to remove.

A number with a decimal point can be written the same way, but the power of 10 is negative:

0.3 = 3 × 10⁻¹

0.01 = 1 × 10⁻²

12.345 = 12,345 × 10⁻³

You can employ this sort of manipulation when you're dividing two real numbers. You end up with the quotient of two whole number, and you just need to keep track of power of 10 you end up with.

For example, consider the fraction

1.23 / 0.456

Rewrite this as

(123 × 10⁻²) / (456 × 10⁻³) = 123/456 × 10¹

where we end up with 10¹ because 10⁻²/10⁻³ = 10⁻²⁻⁽⁻³⁾ = 10³⁻² = 10¹.

Now just compute the quotient 123/456 and multiply that result by 10, which amounts to shifting the decimal point one position to the right. You would end up with

123/456 ≈ 0.269737

so that

1.23 / 0.456 ≈ 2.69737

3 0
2 years ago
What is 18, and 24??????????? <br><br> Plsssss
MaRussiya [10]
31.-15z 27. I can't see hope this helped u
5 0
3 years ago
Make x the subject of y<br> 2.x + 1<br> r-1
Margaret [11]

Answer:

x = \frac{1+y^{2} }{y^{2}-2 }

Step-by-step explanation:

Square both sides.

y² = (2x + 1) / (x - 1)

Multiply both sides by (x - 1).

y²(x - 1) = 2x + 1

xy² - y² = 2x + 1

xy² = 2x + 1 + y²

xy² - 2x = 1 + y²

x(y² - 2) = 1 + y²

x = \frac{1+y^{2} }{y^{2}-2 }

4 0
3 years ago
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