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puteri [66]
3 years ago
10

Match each of the following with the equations below. Write the letter of the appropriate equation in the column beside each ite

m. A. y=0 B. y=-1/3x+1 C. x=3y+21 D. x-2y=-2

Mathematics
1 answer:
Mila [183]3 years ago
3 0

Answer: C

A

B

D

Step-by-step explanation:

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The length of the red line segment is 8 and the length of the blue line segment is 4. How long is the major axis of the eclipse?
liraira [26]

The major axis of the eclipse is 12 units long

The given parameters can be represented as:

Red = 8

Blue = 4

See attachment for illustration

To solve this question, we make use of the following theorem

The distance between a point and the foci sums up to the major axis

This translates to:

Major\ axis = Red + Blue

Major\ axis = 8 + 4

Major\ axis = 12

7 0
2 years ago
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
An automobile salesman receives a monthly bonus cheque if his commission income is at least $6,800.00 in a given month. There ar
Reika [66]

The salesman earns $850 per automobile he sells.

Since x represents the amount of automobiles the salesman sells, we can apply the commission as a coefficient to this variable. Therefore, the total commission that the salesman earns can be represented by $850x.

The bonus cheque is only received if the salesman's commission income is <em>at least </em>$6,800. 'at least' means that the salesman can still receive the cheque if his commission is exactly $6,800. The sign that we can use for this situation is the greater than or equal to sign, ≥.

The inequality that shows the commission income needed for the cheque is $850x ≥ $6,800. However, this question asks for the number of automobiles the salesman must sell to get the cheque.

Divide both sides by $850, as that represents his sales from one commission:

x ≥ 8

The inequality x ≥ 8 represents the amount of automobiles the salesman will need to sell to get the bonus cheque.

6 0
2 years ago
Which method is best using this equation 4x-2y=-2,-5x+6y=-15 and why
kipiarov [429]
I think that using the elimination method is the best, because it is the only method that I use when solving these types of equation. For example, for these two equations, you need to multiply one of the equations by a certain number so that you'd be able to find x and y. The elimination method is the method that tells you to do that. It is also the easiest method.

~Hope I helped!~
8 0
3 years ago
3n+75=50+2n please help righting more
alexandr1967 [171]

Answer: n = -25

Step-by-step explanation:

you would need to get N by itself so you would subtract 2n from both sides and that would bring you to n+75=50 and then you would need to subtract 75 from both sides and that leads you to n=-25

5 0
2 years ago
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