The 11th triangular number = 66
Answer:
Step-by-step explanation:
2(5-4g) + 3g - 11 = 5(g-3) - 12 - 3g (remove the parantheses)
10 - 8g + 3g - 11 = 5g - 15 - 12 -3g (Calculate and collect like terms)
-1 - 5g = 2g - 27 (move the terms)
-5g -2g = 27 + 1 (collect like terms and calculate)
-7g = -26 (divide both sides)
so G = 26/7
Answer:
x=7
Step-by-step explanation:
9x+20x+16+12x+10+7x-2=360
48x+24=360
48x=360-24
48 x=336
x=336/48=7
Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width = 
Area = l*w = 
Use derivative test
I derivative = 
II derivative = 
Equate I derivative to 0 and consider positive value only since we want maximum
p = 
Thus width= 
Length =
Width = 
Answer:
of answer Is A choose 1 answer positive negative neiter positive nor negative - the sum Is zero
Step-by-step explanation: