Answer:
Well you see Is this GCSE
![{x}^{2} + 4y + 2x + 2xy](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%204y%20%2B%202x%20%2B%202xy)
We can factorise this expression by grouping. First let us arrange it in this way
![= {x}^{2} + 2xy + 2x + 4y](https://tex.z-dn.net/?f=%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202xy%20%2B%202x%20%2B%204y)
Let us bracket them like this:
![= ( {x}^{2} + 2xy) + (2x+ 4y)](https://tex.z-dn.net/?f=%20%3D%20%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%202xy%29%20%2B%20%282x%2B%204y%29)
In the first bracket portion, take x as common and in the second expression, take 2 as common.
![= x(x + 2y) + 2(x + 2y) \\ = (x + 2)(x + 2y)](https://tex.z-dn.net/?f=%20%3D%20x%28x%20%2B%202y%29%20%2B%202%28x%20%2B%202y%29%20%5C%5C%20%20%3D%20%28x%20%2B%202%29%28x%20%2B%202y%29)
<u>Answer</u><u>:</u>
![(x + 2)(x + 2y)](https://tex.z-dn.net/?f=%28x%20%2B%202%29%28x%20%2B%202y%29)
Hope you could understand.
If you have any query, feel free to ask.
10w + 4w = - 84
14w = - 84
w = - 84 : 14
w = - 6 ( answer )
-----------------------------------
10 * (- 6) + 4 * (- 6) = - 84
- 60 + (- 24) = - 84
- 84 = - 84
<span>1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work
slope = (10 - 2)/(9 + 3)
slope = 8/12
slope = 2/3
</span><span>2. Write the equation of the line in point-slope form.
Show your work
</span>
point-slope form. <span>
y - y1 = m(x - x1)
so equation
y - 2 = 2/3(x + 3)
</span><span>3. Write the equation of the line in slope-intercept form.
Show your work.</span><span>
</span>slope = 2/3, passing thru <span> (-3, 2)
</span><span>
y = mx + b
b = y - mx
b = 2 - (2/3)(-3)
b = 2 + 2
b = 4
equation
y = 2/3(x) + 4
</span>
Answer:
2a+8 (square root b)................. third option