Answer:
(a) Reflection across the y-axis, followed by translation 10 units down
Step-by-step explanation:
Figure 2 is not a reflection across the origin of Figure 1, so neither of the double reflections will map one to the other.
Reflection across the y-axis will put the bottom point at (5, 3). The bottom point on Figure 2 is at (5, -7), so has been translated down by 3-(-7) = 10 units.
Figure 1 is mapped to Figure 2 by reflection over the y-axis and translation down 10 units.
Plug in x-values and see which one has an incorrect y value.
(x, y)
x=0; y=0+7=7; CORRECT
x=2; y=2+7=9; INCORRECT
x=9; y=9+7=16; CORRECT
x=12; y=12+7=19; CORRECT
The point that is not on the online is (9, 16).
Answer:
r = 3.95 ft
Step-by-step explanation:
Volume of cone = 
= 246 ft³
246 = 
r² = 
r = 
r = 3.95 ft
Answer:2.75
Step-by-step explanation:
Answer:
9m ×5m
Step-by-step explanation:
Area of a rectangle= length ×width
Let the width be W meters and the length be L meters.
2 equations can be written from the given information:
45= WL -----(1)
L= W +4 -----(2)
Substitute (2) into (1):
45= W(W +4)
<em>Expand:</em>
45= W² +4W
<em>-45 on both sides:</em>
W² +4W -45= 0
<em>Factorise:</em>
(W +9)(W -5)= 0
W+9=0 or W-5=0
W= -9 or W= 5
(reject)
Substitute W= 5 into (2):
L= 5 +4
L= 9
∴ The dimensions of the garden is 9m ×5m.
