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)
Hello,
Let's w the width , l the length, p the perimeter.
w=l-5
p=2(l+w)=2(l+l-5)=4l-10
4l-10=122
==>4l=122+10
==>4l=132
==>l=132/4
==>l=33
So w=33-5=28
Proof:
2*(33+28)=2*61=122
Answer:
$2000:$1500:$1000
Step-by-step explanation:
So in order to split $4500 into that proportion, we need to multiply the value by the corresponding ratios to split it properly.
There are 4 + 3 + 2 = 9 total parts to the ratio.
We know that we want the first part of the ratio to be 4/total. So we can say that:
$4500 x 4/9 = $2000. This is the first part of the ratio.
We then know the middle part of the ratio is 3/total. So we can say that:
$4500 x 3/9 = $1500. This is the middle part of the ratio.
Finally, we know that the last part of the ratio is 2/total. So we can say that:
$4500 x 2/9 = $1000. This is the last part of the ratio.
Put it all together, and we get $2000:$1500:$1000.
I hope this helps!
V^2+8v+16
(v+4)(v+4)
Do v*v, 4*4, 4*v, 4*v
Simplify
