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notsponge [240]
3 years ago
5

Find two different 2 by 2 matrices a and b such that ab=ba

Mathematics
1 answer:
stiv31 [10]3 years ago
8 0
Let \mathbf A=\mathbf I be the identity matrix. Then pick whatever matrix you like for \mathbf B.
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Joe drove 530 miles in hours 15 minutes. What was his average speed pee hour?
scZoUnD [109]
530 divided by 15 is 35.3
4 0
3 years ago
Solve for k, m = 3kx/7 - 9
kap26 [50]

Answer:

(7m + 63)/3x = k

Step-by-step explanation:

<em>m=3kx/7 - 9</em>

<u><em>add 9 to both sides:</em></u>

m+ 9 = 3kx/7

<u><em>multiply both sides by 7:</em></u>

7(m+9) = 3kx

<u><em>distribute the 7:</em></u>

7m+63 = 3kx

<u><em>divide both sides by 3x:</em></u>

<u>(7m + 63)/3x = k</u>

3 0
3 years ago
What are the zeros of the quadratic function f(x) = 8x2 – 16x – 15?
marusya05 [52]

8x^2 - 16x - 15 = 0

x = [ -(-16) +/- sqrt((-16)^2 - 4*8*-15) / ] 2*8

= 2.696, -0.696

4 0
3 years ago
Read 2 more answers
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
6 0
3 years ago
A. <br> B. <br> C.<br> D.<br> Please help
poizon [28]

Answer:

Clearly, the answer is 20/9, simplify it, and thats your answer! <3

<em>Hope that helped! <3</em>

<em>Byee!</em>

3 0
3 years ago
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