Please: Use "^" to denote exponentiation: <span>2x^2 + 8x - 12 = 0
Reduce this by div. every term by 2: </span><span>x^2 + 4x - 6 = 0
Here a=1, b=4 and c = -6. Square half of b, obtaining (4/2)^2 = 4, and add, and then subtract, this 4 to x^2 + 4x - 6:
</span> x^2 + 4x +4 - 4 - 6 = 0. Rewrite the square as (x+2)^2, obtaining new equation
(x+2)^2 = 10. Take the sqrt of both sides: x+2 = plus or minus sqrt(10).
Finally, solve for x: x = -2 plus or minus sqrt(10).
Total height of lumber, H = 10 1/2 feet = 21/2 feet .
Height of side panel, h = 5 2/3 feet = 17/3 feet .
Now,
Extra lumber required, L = 2 × Height of side panel - Total height of lumber
![L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet](https://tex.z-dn.net/?f=L%3D%5B2%5Ctimes%20%28%5Cdfrac%7B17%7D%7B3%7D%29%5D-%5Cdfrac%7B21%7D%7B2%7D%5C%5C%5C%5CL%20%3D%20%5Cdfrac%7B5%7D%7B6%7D%5C%20feet)
Therefore, extra lumber required is 
feet.
Hence, this is the required solution.
Answer:60
Step-by-step explanation:
a=13 b=13 c=10
Perimeter of =a+b+c
perimeter of =13+13+10
Perimeter of =36
S=36 ➗ 2
S=18
Area=√s(s-a)(s-b)(s-c)
Area=√18(18-13)(18-13)(18-10)
Area=√18(5)(5)(8)
Area=√(3600)
Area of =60
Answer:
shes less likely to pick blue from the second bag
Step-by-step explanation:
first you divide 10 by 25 which will give you 40 percent
then
you divide 75 by 250 which will give you 30 percent
which makes it less likely for Greg to pick blue from the second bag
B) (16 + 20)a - 18b
16a and 20a are both positive and 18b is the only negative it’s easier to add the positive with each other then the negative and a positive then add other positive
