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STALIN [3.7K]
3 years ago
8

I Really need help asap——

Mathematics
1 answer:
krek1111 [17]3 years ago
7 0
Sorry I forgot about constant. I believe this is it:
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(1 point) Linear System - Three Variables Solve the following system of equations using Gaussian elimination method. If there ar
EastWind [94]

Answer:

x=\frac{-363}{70} ≈ -5.1857

y=\frac{-192}{35} ≈ -5.4857

z=\frac{313}{84} ≈ 3.7262

Step-by-step explanation:

Rewrite the equation system as:

6x+8y=-75

-3x+6y+6z=5

2x-9y=39

Now, write the system in its augmented matrix form:

\left[\begin{array}{cccc}6&8&0&-75\\-3&6&6&5\\2&-9&0&39\end{array}\right]

applying row reduction process to  its associated augmented matrix:

Swap R1 and R3, and then Swap R1 and R2:

\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\6&8&0&-75\end{array}\right]

R3+2R1

\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\0&20&12&-65\end{array}\right]

3R2+2R1

\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&20&12&-65\end{array}\right]

15R3+20R2

\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&0&420&1565\end{array}\right]

Now we have a simplified system:

-3x+6y+6z=5\\0-15y+12z=127\\0+0+420z=1565

-3x+6y+6z=5\hspace{5 mm}(1)\\0-15y+12z=127\hspace{3 mm}(2)\\0+0+420z=1565\hspace{3 mm}(3)

From (3):

z=\frac{313}{84} (4)

Replacing (4) in (2)

y=\frac{-192}{35} (5)

Finally replacing (5) and (4) in (1)

x=\frac{-363}{70}

7 0
3 years ago
In parallelogram DEFG if m_DEF=110° find m_FGD.<br> E<br> 110°<br> D<br> G
Sergio039 [100]

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

3 0
3 years ago
If f(x)=3x-1 and g(x)= x+2 find (f-g)(x)
NemiM [27]

Answer:

\boxed{2x-3}

Step-by-step explanation:

f(x)=3x-1\\ g(x)= x+2

(f-g)(x)\\f(x)-g(x)

(3x-1)-(x+2)\\ 3x-1-x-2\\2x-3

6 0
3 years ago
The surface area of a prism is 54 square inches. What is the surface area of a similar prism that is smaller by a scale 1/3
Anna11 [10]

Answer:

18 square inches

Step-by-step explanation:

Surface Area of original prism: 54 square inches

Surface Area of similar prism:

1/3 x 54

=18 square inches

6 0
3 years ago
12 decreased by some number h
Nimfa-mama [501]

Answer:

12 - h

Step-by-step explanation:

5 0
3 years ago
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