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3 years ago

Create a system of equations that are parallel to the y-axis.

Mathematics

1 answer:

pishuonlain [190]3 years ago

4 0

Answer:

the y-axis equation that are parallel is x-axis

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butalik [34]

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3 years ago

Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5

givi [52]

<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

$A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]$ $X=\left[\begin{array}{c}x\\y\end{array}\right]$

and $B= \left[\begin{array}{c}11\\5\end{array}\right]$

∴AX=B

$adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]$

$A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6$

∴ $A^{-1} =\frac{adj A}{|A|}$

So, $A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}$

$A^{-1} ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}$

$X =A^{-1}\times B$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c} {6}\\ {11} \end{array}\right]}$

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

7 0

3 years ago

What can you predict regarding the probability of the coin landing heads up?

Kisachek [45]

Answer:

the probability is ½

Step-by-step explanation:

think so

3 0

3 years ago

Evaluate the expression if a = 3, b = 5, and c = 6.<br> c^2 + 3a × b

vladimir1956 [14]

Answer:

<h3> 81 is your answer.☺</h3>

Step-by-step explanation:

a = 3, b = 5, and c = 6

c^2 + 3a × b

6^2 + 3(3) × 5

36+9×5

36+45

81 => Ans

Hope this helps

Keep Smiling :)

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3 years ago

Find the exact length of the third side.<br> 40<br> 9

Nutka1998 [239]

Answer:

Step-by-step explanation:

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3 years ago