Answer:
a) identity property of multiplication
b) commutative property in addition
Answer:
The parabola's axis of symmetry is x = -6
Step-by-step explanation:
Parabola general equation:
y = a*(x - r1)*(x - r2)
Equation given:
y = (-1/4)*(x + 2)*(x + 10)
a = -1/4
r1 = -2
r2 = -10
To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:
y = (-1/4)*(2+ 2)*(2 + 10) = -12
Then, point (2, 10) is not included in the parabola.
If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward
Axis of symmetry:
h = (r1 + r2)/2
h = (-2 + -10)/2 = -6
Then, The parabola's axis of symmetry is x = -6
To find Parabola's vertex, replace with the axis of symmetry:
y = (-1/4)*(-6 + 2)*(-6 + 10) = 4
Therefore, the parabola has a vertex at (-6, 4)
Dividing the line segment AB into ratio 1:3 or 3:1 means dividing the line segment into four equal lengths, as shown in the diagram below.
Point P is the point that divides the line into 1 part and 3 parts, from A.
Point Q is the point that divides the line into 1 part and 3 parts, from B
Hence, P and Q are points on different position
Answer:
The new volume is 7^3 or 343 times the old volume
Step-by-step explanation:
The original sphere has a volume of
V = 4/3 pi r^3
The radius is multiplied by 7
The new volume is
V = 4/3 pi (7r) ^3
V = 4/3 pi (7)^3 r^3
The new volume is 7^3 or 343 times the old volume
Answer:
24 oz has the lowest cost per ounce.
Step-by-step explanation:
12 oz ---> $2.49
1 oz --> $2.49/12
1 oz --> $0.2075
14 oz --> $3.15
1 oz --> $3.15/14
1 oz --> $0.225
20 oz --> $5
1 oz --> $5/20
1 oz --> $0.25
24 oz --> $4.56
1 oz --> $4.56/24
1 oz --> $0.19 ..........this is the lowest cost per ounce
36 oz --> $7.2
1 oz --> $7.2/36
1 oz --> $0.2
