Triangle ABC has points A(4,2) B(4,4) & C (0,4). If triangle ABC is dilated by a scale factor of 3 from the point (-1, 2) to
1 answer:
9514 1404 393
Answer:
A'(14, 2)
Step-by-step explanation:
The y-value of A is the same as the y-value of the center of dilation, so it remains unchanged.
The x-value of A is 4-(-1) = 5 units from the center of dilation, so A' will be 15 units from the center of dilation. 15 +(-1) = 14. The coordinates of A' are (14, 2).
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Answer:
The spaceship will get to Alpha Centaur in time
Step-by-step explanation:
<u><em>The complete question in English is</em></u>
You're the commander of a spaceship. Your mission is to reach Alpha Centaur in five years. The distance from the sun to Alpha Centaur is 2.5 x 10^13 miles. The distance from Earth to Sun is approximately 9.3 x 10^7
miles. Your spaceship can travel at the speed of light. You know that light can travel a distance of 5.88 x 10^12 miles in a year. Can you get to Alpha Centaur in time?
step 1
Find the time it takes for the spaceship to travel from Earth to the Sun
The distance from the Earth to Sun is equal to
The spaceship can travel at the speed of light
The light can travel a distance of in a year
so
using a proportion
This time is very small in years
Convert to minutes
step 2
Find the time it takes for the spaceship to travel from the Sun to Alpha Centaur
The distance from the the Sun to Alpha Centaur is equal to
The spaceship can travel at the speed of light
The light can travel a distance of in a year
so
using a proportion
therefore
The spaceship will get to Alpha Centaur in time