what are the options Step-by-step explanation:
2^2 • 3 • 17 because 204 is not a prime number. Hope this helps.
simplified original equation: y=-9/5x+13.2
perpendicular slope: 5/9
equation passing through (-6,8): y-(8)=5/9(x-(-6))
y=mx+b form: y = 5/9x + 14
Answer:
Taylor's age = x = 35 years
Marty's age = y = 50 years
Step-by-step explanation:
Let
Taylor's age = x
Marty's age = y
Taylor is 15 years younger than Marty.
x = y - 15
Twice Marty’s age added to three times Taylors age totals 205.
205 = 2y + 3x...... Equation 1
Therefore, we substitute y - 15 for x in
205 = 2y + 3x...... Equation 1
205 = 2y + 3(y - 15)
205 = 2y + 3y - 45
Collect like terms
205 + 45 = 5y
250 = 5y
y = 250/5
y = 50 years
x = y - 15
x = 50 - 15
x = 35 years
Solving for x
Therefore:
Taylor's age = x = 35 years
Marty's age = y = 50 years
Answer:
![A * B = \left[\begin{array}{ccc}10&-6\\8&5\\19&-10\end{array}\right]](https://tex.z-dn.net/?f=A%20%2A%20B%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%26-6%5C%5C8%265%5C%5C19%26-10%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Given
![A =\left[\begin{array}{cc}2&-2\\3&4\\4&-3\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%26-2%5C%5C3%264%5C%5C4%26-3%5Cend%7Barray%7D%5Cright%5D)
![B = \left[\begin{array}{cc}4&-1\\-1&2\end{array}\right]](https://tex.z-dn.net/?f=B%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26-1%5C%5C-1%262%5Cend%7Barray%7D%5Cright%5D)
Required
To do this, we simply multiply the rows of A by the column of B;
So, we have:
![A * B = \left[\begin{array}{ccc}2*4 + -2*-1&2*-1+-2*2\\3*4+4*-1&3*-1+4*2\\4*4-3*-1&4*-1-3*2\end{array}\right]](https://tex.z-dn.net/?f=A%20%2A%20B%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%2A4%20%2B%20-2%2A-1%262%2A-1%2B-2%2A2%5C%5C3%2A4%2B4%2A-1%263%2A-1%2B4%2A2%5C%5C4%2A4-3%2A-1%264%2A-1-3%2A2%5Cend%7Barray%7D%5Cright%5D)
