Answer:
8
Step-by-step explanation:
volume of cube=l×w×h
in a cube all this are equal so volume=l³
512=l³
cube root on both sides leaves
∛512=l
l=8
Answer:
15504 different groups
Step-by-step explanation:
We have a total of 20 people, and we want to know how many groups of 5 people we can make, where the order of the people inside the group doesn't matter, so we can solve this question calculating the combination of 20 choose 5.
The formula for combination is:
C(n, p) = n! / (p! * (n-p)!)
In this case, we have n = 20 and p = 5, so:
C(20, 5) = 20! / (5! * 15!) = 20*19*18*17*16 / (5*4*3*2) = 15504
So we have 15504 different groups.
Answer:
not sure
Step-by-step explanation:
Answer: width = 10 ft
Step-by-step explanation:
Area = length × width
Let l be length and w be width
l = w + 4 ........equation (1)
From above formula
140 = l × w. ........equation (2)
Substitute equation (1) into equation (2)
140 = (w+4) × w
w^2 + 4w= 140
w^2 + 4w - 140= 0
By factorization method
(w+14)(w-10)= 0
w=-14 or w= 10
So now width is 10 ft
From equation(1)
l=w+4
l= 10+4
l= 14 ft
Width = 10 ft and length = 14 ft
We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).
