A. square root property
![3x^2-192=0\\x^2-66=0\\x^2=66\\x= -\sqrt{66} or \sqrt{66}](https://tex.z-dn.net/?f=3x%5E2-192%3D0%5C%5Cx%5E2-66%3D0%5C%5Cx%5E2%3D66%5C%5Cx%3D%20-%5Csqrt%7B66%7D%20or%20%5Csqrt%7B66%7D)
it has one value with x which is x^2 and it cn be easily solved without having to factorise, quadratic formula cant be used as it need ax^2+bx+c=0 format
B. factorising
![x^2-x-6=0\\x^2+2x-3x-6=0\\(x+2)(x-3)=0\\x+2=0 and x-3=0\\x= -2 \\x= 3](https://tex.z-dn.net/?f=x%5E2-x-6%3D0%5C%5Cx%5E2%2B2x-3x-6%3D0%5C%5C%28x%2B2%29%28x-3%29%3D0%5C%5Cx%2B2%3D0%20%20and%20%20x-3%3D0%5C%5Cx%3D%20-2%20%5C%5Cx%3D%203)
i just felt like this was easier to factorise than the other 2 options left
C. Completing the square
![x^2-6x-7=0\\(x-3)^2=0\\x= -1\\x= 7](https://tex.z-dn.net/?f=x%5E2-6x-7%3D0%5C%5C%28x-3%29%5E2%3D0%5C%5Cx%3D%20-1%5C%5Cx%3D%207)
same reason personal preference
D- Quadratic
![x^2-17x-7=0\\x=\frac{-(-17)+\sqrt{(-17)^2-4(1)(-7)} }{2(1)} \\x=\frac{-(-17)-\sqrt{(-17)^2-4(1)(-7)} }{2(1)}\\x=17.4\\x=-0.402](https://tex.z-dn.net/?f=x%5E2-17x-7%3D0%5C%5Cx%3D%5Cfrac%7B-%28-17%29%2B%5Csqrt%7B%28-17%29%5E2-4%281%29%28-7%29%7D%20%7D%7B2%281%29%7D%20%5C%5Cx%3D%5Cfrac%7B-%28-17%29-%5Csqrt%7B%28-17%29%5E2-4%281%29%28-7%29%7D%20%7D%7B2%281%29%7D%5C%5Cx%3D17.4%5C%5Cx%3D-0.402)
the 17 kinda threw me off and i didnt wanna get on factorising or doing completing the square so quadratic formal
531/2 is 265.5 this is the answer you are looking for
if you divide 2/531 you get 0.003766478
Associative property (associative laws)
Answer:
4
Step-by-step explanation:
First, you would have to prime factorize both of the numbers. The prime factorization of 24 is 24 = 2*2*3*3, and the prime factorization of 32 is 32 = 2*2*2*2*2 or 2^5. After that, you would find what is most common:
24 = 2*2*3*3
32 = 2*2*2*2*2
What is common is that there is two 2's in each equation. 2*2 is 4, so the answer is 4.
Hope this helps! <3
Answer:
w=p/2-l
Step-by-step explanation:
you have to simplify the equation p=2(l+w).
1) Isolate the variables l and q
p/2=l+w
2) Subtract the length from the width.
p/2-l=w
3) The answer is b, or w=p/2-l