<span>This isn't very difficult to figure out, you just need to look at these numbers in pairs. So, 16 minus 4 is 12. Then the next pair of numbers, 36 minus 9 is 27. And to complete the pattern, you just have to look at the final pair: 44 minus 11 is 33. So the number that would complete the pattern is 33.Hope this helps. Let me know if you need additional help!</span>
Answer:
y = -2x + 6
Step-by-step explanation:
y=mx + c
m is the gradient and c is the y intercept
m = (y 2 - y 1) / (x 2 - x 1) = (2-4) / ( 2-1) = -2
y= -2x + c
To find c, just sub one of the coordinates into the eqn:
By using the coordinates (1,4)
4 = -2(1) + c
c = 6
Therefore, the equation is y = -2x + 6
As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:

Solving this proportion for x implies 
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:

Then, we know that the hypothenuse of the big triangle is m+p, so we have

which implies

Answer: 8√2 decimal form 11.3
Step-by-step explanation: √128=√16×√8→4×√4×√2=8√2 . 11.3 in decimal form