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frutty [35]
3 years ago
13

PLEASE HELP SMART PEOPLE WILL MARK BRAINLIEST

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

\angle YPR = 42^o

Step-by-step explanation:

Its given:

\angle FPY = 90^o \\ \angle YPR + \angle FPR = 90^0 \\ 4p + 80 + 5p + 82 = 90^o \\ 9p = -72^o \\ p = -8 \\ \\ \angle YPR = 5(-8) + 82 = 42^o

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PLEASE HELP!!!!! What is the value of x in the matrix equation below?
Brums [2.3K]

The given matrix equation is,

1.5\left[\begin{array}{cc}x&6\\8&4\end{array}\right] +y\left[\begin{array}{cc}1&4\\3&2\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right].

Multiplying the matrices with the scalars, the given equation becomes,

\left[\begin{array}{cc}1.5x&9\\12&6\end{array}\right] +\left[\begin{array}{cc}y&4y\\3y&2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]  \\

Adding the matrices,

\left[\begin{array}{cc}1.5x+y&9+4y\\12+3y&6+2y\end{array}\right]  =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]  \\

Matrix equality gives,

1.5x+y=z\\ 9+4y=z\\ 12+3y=6z\\ 6+2y=2

Solving the equations together,

y=-2\\ 3y-1.5x=9\\ -1.5x=9+6\\ x=-10

We can see that the equations are not consistent.

There is no solution.

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