Given:
O, P, and Q be distinct collinear points with PQ=3.
P′ and Q′ be the images of points P and Q under dilation from point O with scale factor 4.
To find:
The length of the image segment P'Q'.
Solution:
We know that,

P′ and Q′ be the images of points P and Q under dilation from point O with scale factor 4. So, Segment P'Q' is the image of segment PQ and the scale factor is 4.

It is given that PQ=3.

Multiply both sides by 3.


Therefore, the length of the image segment P'Q' is 12 units.
D. Energy .... is the answer
D. An infant’s personality provides a solid basis for determining what their personality will be later.
Personality Psychology tackles different people's characteristic
ways of thinking, feeling , coping and behaving. Personality is capable of
change and stability throughout an individual's life ( at any point in time). Infant's
personality has equal possibility of becoming stable or changed as the person
matures.
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The Norwegian Current creates marine climate type.
Explanation:
There are several ocean currents in the Atlantic Ocean. Some of them are warm ocean currents (surface currents), while some are cold (deep currents). The warm ones develop around the Equator and move toward the higher latitudes, while the cold ones develop in the higher latitudes and move toward the Equator.
The Norwegian Current is part of the warm ocean currents in the Atlantic. This ocean current is an extension of the North Atlantic Drift, which is an extension of the Gulf Stream, which is an extension of the Florida Current, which is an extension of the Antilles Current, which is an extension of the North Atlantic Current, thus creating a curved, interconnected extensions of one another. This ocean current brings in warm and humid weather conditions. It makes the western coast of the Scandinavian Peninsula much warmer that it should be according to its latitude, and brings in solid amounts of precipitation.
Some other ocean currents in the Atlantic Ocean are:
- Counter Equatorial Current
- Labrador Current
- East Greenland Current
Learn more about deep ocean currents brainly.com/question/12168401
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