Answer: 6x=42
Explanation: After the step 6x+6=36, it’ll equal 6x=30 because when you subtract the 6 on both sides, it’ll equal 30, revealing it’s actually 6x=30, with the conclusion of x=5.
Answer:
<h2>= 1.268</h2>
Step-by-step explanation:
= (3 + √3) (2 - √3)
= 6 - 3√3 + 2√3 - 3
= 3 - 3√3 + 2√3
= 3 - √3 (3 - 2)
= 3 - √3
= 3 - 1.732 ...... (√3 = 1.732)
= 1.268
You could simulate this by allowing the numbers 1-4 to represent a correct answer and the numbers 5-6 to represent an incorrect answer. This would have a 2/3 probability of the question in the simulation being correct.
Answer:
Approximate answer: 
Step-by-step explanation:
Denote the projection of point 
onto side 
as 
.
.
Next we should put everything together in area formula for trapizium:
Answer:
![\left[\begin{array}{ccc}9\\10\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%5C%5C10%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Evaluate 3a by multiplying each element by 3
3a = 3 ![\left[\begin{array}{ccc}2\\4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}3(2)\\3(4)\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%282%29%5C%5C3%284%29%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}6\\12&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%5C%5C12%26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
, then
3a + b
= ![\left[\begin{array}{ccc}6\\12\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%5C%5C12%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ ![\left[\begin{array}{ccc}3\\-2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C-2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
← sum corresponding elements
= ![\left[\begin{array}{ccc}6+3\\12-2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%2B3%5C%5C12-2%5C%5C%5Cend%7Barray%7D%5Cright%5D)
=
