It factors to (x+12)(x-12)
This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7
I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)
You have the correct axis of symmetry value. Nice work.
Plug that x value into the equation to get...
y = -2x^2 - 12x - 10
y = -2*(-3)^2 - 12*(-3) - 10 <<-- replace every x with -3; then use PEMDAS
y = -2*(9) - 12*(-3) - 10
y = -18 + 36 - 10
y = 18 - 10
y = 8
The vertex is the ordered pair (-3, 8)
Note: the axis of symmetry is the vertical line through the vertex
<span>0.48333333333 or if u round it off it would be 0.48</span>
Answer: 180cm
Explanation:
The area of a triangle is 1/2(b)(h).
The height of the triangles is 12cm and the base is 6cm.
1/2(6)(12) = 36cm
Multiply by 4 = 144
For square: 6 • 6 = 36cm
144cm + 36cm = 180cm
2x-2yd=y+xd
2x-y=xd+2yd
2x-y=d(x+2y)
(2x-y)/(x+2y)=d
So the answer is <span><span>d=<span><span>2x−y</span><span>x+2y</span></span></span></span>