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natita [175]
3 years ago
9

11. Which matrix represents the system of equations below?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]

Step-by-step explanation:

The system of equations is;

-12x-13y +13z =15

7x-10y-3z = 11

7x+14y +5z = -5

The coefficient matrix is \left[\begin{array}{ccc}-12&-13&13\\7&-10&-3\\7&14&5\end{array}\right]

The constant matrix is \left[\begin{array}{c}15\\11\\-5\end{array}\right]

The augmented matrix is \left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]

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A factory is going to hire 33 new employees. There are 79 applicants. Which
dedylja [7]

Answer:

33:79

Step-by-step explanation:

We are told that a factory is going to hire 33 new employees.

and the total applicants is 79

In this problem, we want to represent the situation as a ratio of new hires to applicants

Since the question says  new hires to applicants

Hence, the ratio will be

33 to 79

or

33/79, we can simplify this as

33:79

5 0
2 years ago
What is -y=22 it is a one step equation
Svet_ta [14]

Answer:

Yes it is: y = -22

Step-by-step explanation:

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6 0
2 years ago
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What is the answer for 7.5+2.3y-y
Alexxx [7]

Answer:

9.8

Step-by-step explanation:

7.5+2.3y-y

Subtract y

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7 0
3 years ago
A rocket generates a net force (F) of 2,050,000 newtons, and the rocket mass (m) is 40,000 kilograms
SVEN [57.7K]

From the given equation above, F = ma, acceleration may be calculated by slightly modifying the equation into a = F / m. Substituting the known values for force and mass,

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6 0
2 years ago
Find the area of a polygon with vertices at (1,3), (7,3), (7,7), and (4,7).
Natasha2012 [34]

(1,3) and (7,3) falls on the same horizontal line. hence, the distance is just equal to 6 units. (7,3) and (7,7) meanwhile lie on the same vertical line. hence the distance is 4. (7,7) and (4,7) lie on the same horizontal line with a distance of 3. 

Finally, to get back to point (1,3) - (4,7) ----> (1,3), 3 to the left and 4 down, the diagonal being 5. 
6+4+3+5= 10 + 8 = 18.
8 0
3 years ago
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