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3 years ago

Did i find the inverse right?

Mathematics

1 answer:

mash [69]3 years ago

5 0

This is the correct work, but your answer should be written as 5x/2.

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Use Cramer’s Rule to solve system of equation.

alisha [4.7K]

$\left\{\begin{array}{ccc}5x+2y=4\\3x+4y+2z=6\\7x+3y+4z=29\end{array}\right\\\\A=\left[\begin{array}{ccc}5&2&0\\3&4&2\\7&3&4\end{array}\right]\\\\\det A=5\cdot4\cdot4+3\cdot3\cdot0+2\cdot2\cdot7-7\cdot4\cdot0-3\cdot2\cdot5-3\cdot2\cdot4=54\\W_x=\left[\begin{array}{ccc}4&2&0\\6&4&2\\29&3&4\end{array}\right]\\\det W_x=4\cdot4\cdot4+2\cdot2\cdot29+6\cdot3\cdot0-29\cdot4\cdot0-3\cdot2\cdot4-6\cdot2\cdot4=108$

$W_y=\left[\begin{array}{ccc}5&4&0\\3&6&2\\7&29&4\end{array}\right]\\\det W_y=5\cdot6\cdot4+3\cdot29\cdot0+4\cdot2\cdot7-7\cdot6\cdot0-29\cdot2\cdot5-3\cdot4\cdot4=-162\\W_z=\left[\begin{array}{ccc}5&2&4\\3&4&6\\7&3&29\end{array}\right]\\\det W_z=5\cdot4\cdot29+3\cdot3\cdot4+6\cdot2\cdot7-7\cdot4\cdot4-3\cdot6\cdot5-3\cdot2\cdot29=324\\\\x=\dfrac{\det W_x}{\det A}=\dfrac{108}{54}=2\\\\y=\dfrac{\det W_y}{\det A}=\dfrac{-62}{54}=-3\\\\z=\dfrac{\det W_z}{\det A}=\dfrac{324}{54}=6$

5 0

3 years ago

Help Help Helppppppppp Help Help Help

Eva8 [605]

Answer:

164 Cm^3

Step-by-step explanation:

Solution

≈

163.6788

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3 years ago

Find the radius of a sphere with a volume of 4.5π cubic centimeters.

Nutka1998 [239]

1.02 is the answer to your question

4 0

3 years ago

If the wwight of a package is multiplied by 7/10 the result is 65.8 find the weight of the package

ANTONII [103]

Answer:

The answer is 94

Step-by-step explanation:

divide 7/10 because thats the fraction = 0.7

divide 65.8 by 0.7

to get 94

to check

multiply 94 by 0.7

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3 years ago

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belka [17]

Answer:

for what tho lol

Step-by-step explanation:

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3 years ago