Answer:
n = -1
Step-by-step explanation:
Guess your question is to find n
Given:
-6 + 3n = -9
-6 + 3n = -9
Add 6 to both sides
-6 + 6 + 3n = -9 + 6
3n = -3
Divide both sides by 3
n = -3 / 3
= -1
n = -1
Check:
-6 + 3n = -9
-6 + 3(-1) = -9
-6 - 3 = -9
- 9 = - 9
Assume:
Size of sides = x m
Depth of the pool = y m
Therefore, surface area = x^2+4xy =10 m^2
Then, y = (10-x^2)/(4x)
Now,
Volume (V) = x^2*y = x^2*y =x^2(10-x^2)/4x = (10x-x^3)/4 = 1/4(10x-x^3)
For maximum volume, first derivative of volume function is equal to zero.
That is,
dV/dx =0 = 1/4(10-3x^2)
Then,
1/4(10-3x^2) = 0
10-3x^2 = 0
3x^2=10
x= sqrt (10/3) = 1.826 m
And
y= (10-1.826^2)/(4*1.826) = 0.913 m
Therefore,
V= 1.826^2*0.913 = 3.044 m^3
You only need two separate ordered pairs for the slope formula
Let the smaller one is x so the larger is x+1
x(x+1)=1332
x^2+x=1332
x^2 +x -1332 =0
(x - 36)(x + 37) =0
so x = 36 or x = -37
therefor the larger integer is either 37 or -36
The answer is B because those triangles are congruent
