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nexus9112 [7]
3 years ago
14

Simplify: (7x4 – 7x3 + 7x2 + 2x) + (-5x4 + 7x3 + 5x2 – 9)​

Mathematics
1 answer:
ikadub [295]3 years ago
8 0

Answer:

Step-by-step explanation:

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Which of the following are independent variables?
Lapatulllka [165]

Answer:

i think that it is oil

Step-by-step explanation:

because it does not change

4 0
3 years ago
Read 2 more answers
Matrix multiplication was used to encode a message using the given encoding matrix: [i 47 A=1 |-1 -3] The original message was c
nadya68 [22]

Answer:

A^{-1}=\left[\begin{array}{cc}-3&-4\\1&1\end{array}\right] message SHOW_ME_THE_MONEY_  

Step-by-step explanation:

The matrix

A=\left[\begin{array}{cc}1&4\\-1&-3\end{array}\right]\rightarrow |A|=(1 \times -3)-(-1\times 4)=1\\\rightarrow A^{-1}=\left[\begin{array}{cc}-3&-4\\1&1\end{array}\right] \\

We can check that in fact A*A^⁻1=I_2 the identity matrix of size 2 x 2.

Now the message was divided in 1 x 2 matrices, then we have that the sequence given is the result of multiplying m by A, so to get m again we multiply now by A^⁻1. and we get the next table

Encoded message    Decoded message    message in letters by association

11 52        19 8    S H

-8 -9         15 23  O W

-13 -39        0 13   _ M

5 20         5 0   E _

12 56        20 8    T H

5 20         5 0    E _

-2 7           13 15  M O

9 41         14 5   N E

25 100       25 0    Y _

Then the message decoded is SHOW_ME_THE_MONEY_                                

3 0
2 years ago
A reindeer can run 96 miles in 3 hours at this rate how far can a reindeer run in 1hour explain
jekas [21]
This is how you do it: you put mile 96 over 3 and if u wanna know how many it will run in 1 hour. You cross multiply so you multiply 96 times1 and you get 96 but now you have to divide it by 3. If you do that you'll get the answer which is 32. There are other ways to do it but I just think it's way easier this way
6 0
3 years ago
What value could be added to 2/15 to make the sum greater than 1/2
Lera25 [3.4K]
1/2 - 2/15= 15-4/30 = 11/30  this means that if you were to add 11/30 to 2/15 is exactly equal to 1/2, to fully answer your question you can use any value above that like 12/30 (keep in mind you have to simplify) = 6/15 = 2/5. But then again your question says to add any number to make it greater than 1/2 so technically you could just add 100 or 200 or 1/2 to make the sum of it greater than one half
7 0
3 years ago
A rectangle has vertices located at (–4, 4), (2, 4), (2, –4) and (–4, –4). What is the length of a diagonal of the rectangle?
Allisa [31]

Answer:

A diagonal of this rectangle has length 10.

Step-by-step explanation:

The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4).  These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.

Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4).  To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.

Thus, the width of the rectangle is 6 and the length is 8.

Using the Pythagorean Theorem, we find the length of a diagonal as follows:

d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.

A diagonal of this rectangle has length 10.

5 0
2 years ago
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