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jolli1 [7]
3 years ago
9

Which expression gives the measure of Z RST in the diagram below?

Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0

Answer:

Your answer should be C. 1/2(162 - 38)

Step-by-step explanation:

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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
Griffin ordered a pair of sneakers online. He had a $17 credit that he applied toward the purchase, and then he used a credit ca
MrMuchimi
Well it would be 63$ if we are not including tax because 80-17=63
4 0
2 years ago
How do I factor this? <br> 5x^2y+45x^3y^2
ruslelena [56]

Answer:

5 x^2 y (9 x y + 1)

Step-by-step explanation:

Factor the following:

45 x^3 y^2 + 5 x^2 y

Factor common terms out of 45 x^3 y^2 + 5 x^2 y.

Factor 5 x^2 y out of 45 x^3 y^2 + 5 x^2 y:

Answer: 5 x^2 y (9 x y + 1)

8 0
2 years ago
If the degree in the numerator is smaller than the degree in the denominator and there is no vertical
mote1985 [20]
The answer is false.
8 0
3 years ago
Read 2 more answers
A typical middle-income household in 1980 earned $34,757. A similar household in 2009 earned $38,550. What was the relative incr
S_A_V [24]

Given conditions are :

In 1980's, a typical middle-income household earned=  $34,757

In 2009, a similar middle-income household earned= $38,550

And we have to find relative increase in income for these households from 1980 to 2009.

So first we will find the total increase in amounts.

38550-34757=3793

Relative increase = \frac{3793}{34757}*100

= 10.91% or rounding it off we get approx 11%.

Hence, the answer is 11%.

5 0
3 years ago
Read 2 more answers
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