Their are 6 equilateral triangles in a regular hexagon:
The area of one triangle = (x²√3)/4, then:
1st answer: The area of the hexagon base: is 6 TIMES the area of one equilateral triangle [or, needed for 2nd, question, TOT AREA:(6x²√3)/4] = (3x²√3)/2] unit²
2nd answer: :
Volume of pyramid: (base area)(height)/3
Volume of pyramid: (3x²√3).(3x)/3 (because height = 3x, given)
Then Volume of pyramid= 3x³√3 unit³.
3 is the answer for the second question
and 6 for the 1st
Answer:
see explanation
Step-by-step explanation:
Given
Distribute the 3 parenthesis on the numerator
= 
Collect like terms on the numerator
= 
Divide each of the terms on the numerator by 4
= 
+ 
+ 
= - 6a + 9b - 12c ← factor out - 3 from each term
= - 3(2a - 3b + 4c)
Compare with
X(2a + Bb + Cc) to obtain
X = - 3, B = - 3, C = 4
SimplifyOkie dokie so first things first, you have to get rid of those parentheses! To do this you use the distributive property. -3(x+2) is the same thing as -3(x)+-3(2). that and you get -9=-3x-6. So you want to get x by itself to be able to find what x is, so you add 6 to both sides of the equation to get rid of the -6. So then you get -3=-3x. Then you must divide both sides by the coefficient of x, which would be -3. When you divide both sides by -3 you get -3/-3=x, which is the same thing as 1=x. Hope this helped!
I think it's D, - 12 indicates a loss of something /something getting less
