A rectangular gasoline tank can hold 49.0 kg of gasoline when full. what is the depth of the tank (in m) if it is 0.400 m wide b
1 answer:
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General Idea:
When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)
Applying the concept:
In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).
If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)
We know &
Substituting 6 for x in the equation , we get
.
Dividing 6 on both sides
Simplifying fractions on both sides
Point A from the diagram is (-3, 3)
x-coordinate of A' =
y-coordinate of A' =
Point A' is given by (-3.6, 3.6)
Conclusion:
<u>Scale factor of dilation is 1.2</u>
<u>The coordinates of point A' is (-3.6, 3.6)</u>
Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:
Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by
where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms
The ratio of all the adjacent terms is the same and equal to
now substituting r = 2 and a₁ = 7 in the nth term
Therefore, the nth term of the geometric sequence 7, 14, 28, ... is: