Answer:
21.7
Step-by-step explanation:
divide
Answer:
D infitently Many
Step-by-step explanation:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
Answer: - 7.2 , 2.6 , 12.4 and 22.2
Step-by-step explanation:
Let the arithmetic means be p , q , r ,s , therefore , the sequence becomes:
-17 , p , q , r , s , 32
The first term (a ) = -17
Last term (L) = 32
common difference (d) = ?
number of terms (n ) = 6
We will use the formula for calculating the last term to find the common difference. That is
L = a + (n - 1 ) d
Substituting the values , we have
32 = -17 + (6-1) d
32 = -17 + 5d
32 + 17 = 5d
49 = 5d
Therefore: d = 9.8
We can therefore find the values of p , q , r , and s
p is the second term , that is
p = a + d
p = -17 + 9.8
p = -7.2
q = a + 2d
q = - 17 + 19.6
q = 2.6
r = a + 3d
r = - 17 + 29.4
r = 12.4
s = a + 4d
s = - 17 + 39.2
s = 22.2
Therefore : the arithmetic means are : - 7.2 , 2.6 , 12.4 and 22.2
Vertex is at the point ( h , v )
The equation of a parabola is:
x = a ( y - v )² + h
Answer: B )
Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216
Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
