Answer:
The value of x=9 and value of y= -7
Step-by-step explanation:
We need to solve the matrix equation for x and y
We are given:
![\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +2\left[\begin{array}{cc}5&-1\\y&6\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2x%266%5C%5C1%26-8%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%2B2%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%26-1%5C%5Cy%266%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-8%264%5C%5C-13%26-13%5C%5C%5Cend%7Barray%7D%5Cright%5D)
First multiply 2 with terms inside the matrix
![\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +\left[\begin{array}{cc}10&-2\\2y&12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2x%266%5C%5C1%26-8%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%26-2%5C%5C2y%2612%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-8%264%5C%5C-13%26-13%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Now adding matrices on left side
![\left[\begin{array}{cc}-2x+10&6-2\\1+2y&-8+12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]\\\left[\begin{array}{cc}-2x+10&4\\1+2y&4\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2x%2B10%266-2%5C%5C1%2B2y%26-8%2B12%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-8%264%5C%5C-13%26-13%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2x%2B10%264%5C%5C1%2B2y%264%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-8%264%5C%5C-13%26-13%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Now both sides are equal , so we can say that
Solving equations and finding values of x and y
Finding value of x
Finding value of y
So, value of x=9 and value of y= -7
Answer:
Step-by-step explanation:
Use the slope formula:
where m = slope
(-5, 0) -> means x1 = -5. y1 = 0
(7, 8) -> means x2 = 7 , y2 = 8
Substitute these values into the slope formula above and you get:
Answer:
arctan(0.255) = theta
14.305 degrees
Step-by-step explanation:
So, let's say that I have 3 bills: a 50 dollar bill, a 100 dollar bill and 1 dollar bill.
I need to buy 9 pens for my friends, and each of the pens costs 4.34 dollars.
I want to know if I can just take the 50 dollar bill, since I'm not too comfortable to carry the 100 dollar bill the whole day.
A quick estiate tells me that 10 times 5 is 50, and since both numbers are less, then in fact, 50 dollar bill will be enough!
Answer:
Step-by-step explanation:
Like terms have same variable with same power. Combine like terms
153y³ + 132y² + 6y - 5 - 3y³ - 5y² +4y - 2
= <u>153y³ - 3y³</u> + 132y² - 5y² + 6y + 4y <u> -5 - 2</u>
= <u>150y³</u> + 127y² + 10y<u> - 7</u>
