Please help. I’ll mark you as brainliest if correct!!!!!! Only answer if you know it
2 answers:
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Answer:
(2, 3)
Step-by-step explanation:
Compare the given equation ...
y = (x -2)^2 +3
to the vertex form ...
y = (x -h)^2 +k
You can see that h=2 and k=3.
The vertex of the parabola is (h, k) = (2, 3).
There are two separate equations for this question that use the same variable.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:
Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:
Both trips had the same distance. From the information provided, we can set up the following equation:
x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:
Subtract 4x from both sides:
Divide both sides by 3 to get x by itself:
The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:
Mary lives 252 miles away from the mountains.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:
Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:
Both trips had the same distance. From the information provided, we can set up the following equation:
x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:
Subtract 4x from both sides:
Divide both sides by 3 to get x by itself:
The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:
Mary lives 252 miles away from the mountains.