Answer:
The correct answer is
Z⁶Y³/Z⁶Y⁴ = 1/Y
Step-by-step explanation:
<u>Points to remember</u>
1). xᵃ * xᵇ = xᵃ⁺ᵇ
2). xᵃ/xᵇ = xᵃ⁻ᵇ
3). x° = 1
4). x⁻ᵃ = 1/xᵃ
The given expression is Z⁶Y³/Z⁶Y⁴
<u>To find the simplification of expression</u>
Z⁶Y³/Z⁶Y⁴ = Z⁶⁻⁶ * Y³⁻⁴
= Z° * Y⁻¹ = 1 * 1/Y = 1/Y
Therefore the value of given expression Z⁶Y³/Z⁶Y⁴ is 1/Y
Distribute the two to each of the values in the parentheses.
-4 +6a-10= 1-1a
Then move like terms to the same side to simplify.
6a+1a=1+10+4
7a=15
a=15/7
Answer:
54 miles
Step-by-step explanation:
if you divide both the miles and hours, you would get 4.5 equals 1 hour, so multiply by 12 and you get 54!!
Answer:
Step-by-step explanation:
Find the area of the rectangle. A = length * width
Find the area of each circle. A = π*radius*radius
Subtract the area of each circle from the area of the rectangle.
A = length * width
A = (3+6+9+12) * 18
A = 30 * 18
A = 540 square inches
Bottom circle
A = π * radius * radius. (radius is 1/2 of the diameter)
A = 3.14 * 6 * 6
A = 133.04 square inches
Middle circle
A = π * radius * radius
A = 3.14 * 4.5 * 4.5
A = 63.59 square inches
Top circle
A = π * radius * radius
A = 3.14 * 3 * 3
A = 28.26 square inches
Subtract the circles from the rectangle.
540 - 133.04 - 63.59 - 28.26 = 315.11 square inches is the area of the shaded part.
