The <em>rigid</em> transformations used for each figure:
- Figure 5 - Reflection around x and y axes: (x, y) → (- x, - y)
- Figure 6 - Horizontal and vertical translations: (x, y) → (x + 1, y - 2)
<h3>What transformation rules do create the resulting images?</h3>
In this question we must determine what kind of <em>rigid</em> transformations generates each image. <em>Rigid</em> transformations are transformations applied on geometric loci such that <em>Euclidean</em> distance is conserved. Now we proceed to determine the transformation rule for each case:
Figure 5 - Reflection around the x-axis followed by reflection around the y-axis.
(x, y) → (- x, - y)
Figure 6 - Translation one unit in the +x direction and two units in the -y direction.
(x, y) → (x + 1, y - 2)
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1/4 is the least, 1/2 is next, then 5/8 as the greatest.
Answer:
A = 1.0 L
B = 0.50 atm
C = 0.60 atm
D = 4.0 L
Step-by-step explanation:
According to the Boyle's law, the volume of a gas is inversely proportional to its volume. If we consider an initial state (1) and a final state (2):
P₁ × V₁ = P₂ × V₂
A
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = 3.0 atm × A
A = 1.0 L
B
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = B × 6.0 L
B = 0.50 atm
C
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = C × 5.0 L
C = 0.60 atm
D
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = 0.75 atm × D
D = 4.0 L
Answer: she forgot to multiply the radius by 2 in the formula .
Step-by-step explanation: