Answer:
d = 5
Step-by-step explanation:
d = 
d = 
d = 
d = 
d = 5
Answer:
Step-by-step explanation:
7.5
If reflected over y = x
<u>then use</u>
<u />![\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D)
=====================
![\left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}3&6&3\\-3&3&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%266%263%5C%5C-3%263%263%5Cend%7Barray%7D%5Cright%5D)
similar as (x, y) → (y, x)
<u>multiply the matrixes to get the final answer</u>
![\left[\begin{array}{ccc}(3*0+1*-3)&(6*0+1*3)&(3*0+1*3)\\(3*1+(-3*0)&(1*6+0*3)&(1*3+0*3)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%283%2A0%2B1%2A-3%29%26%286%2A0%2B1%2A3%29%26%283%2A0%2B1%2A3%29%5C%5C%283%2A1%2B%28-3%2A0%29%26%281%2A6%2B0%2A3%29%26%281%2A3%2B0%2A3%29%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}-3&3&3\\3&6&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%263%263%5C%5C3%266%263%5Cend%7Barray%7D%5Cright%5D)
Answer: Cube A is larger. This is because volume is found by multiplying length × width × height. The length, width, and height of a cube are ALWAYS equal. Therefore if cube B has a length of 4.8 inches it also has a height of 4.8 inches and a width of 4.8 inches. To find its volume multiply 4.8×4.8×4.8 this will give you 110.592 cubic inches. This means cube A is larger.
Answer:
<em>x = 0 </em>
<em>y = 2</em>
<em>z = -3</em>
Step-by-step explanation:
x-y-2z=4 (1)
-x+2y+z=1 (2)
-x+y-3z=11 (3)
(1) + (3) = x-y-2z + (-x)+y-3z = 4+11
= -5z = 15
-> z = -3
(1) + (2) = x - y - 2z + (-x) + 2y + z = 4+1
= y-z = 5
= y- (-3) = 5
-> y = 2
(1) = x-y-2z = 4
= x - 2 - 2 * (-3) = 4
-> x = 0
