Step-by-step explanation:
Let's say the coordinates of Q are (h, k).
The slope of PQ is perpendicular to the tangent line.
(k − 2) / (h − 2) = -⅓
3(k − 2) = -(h − 2)
3(k − 2) = 2 − h
Solving for h:
h = 2 − 3(k − 2)
h = 2 − 3k + 6
h = 8 − 3k
(2, 2) is a point on the circle, so:
(2 − h)² + (2 − k)² = r²
Substituting:
9 (k − 2)² + (2 − k)² = r²
10 (k − 2)² = r²
The equation of the circle is:
(x − 8 + 3k)² + (y − k)² = 10 (k − 2)²
Without more information, there are an infinite number of possible solutions. For example, if k = 1, the equation of the circle is:
(x − 5)² + (y − 1)² = 10
The answer to your question 4x-4y= -2 plus -9x-4y= -3 is -5 because in order to find the result of the two equations would be to add the solutions to both of them together.
It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.
<h3>Mean of a data.</h3>
Mean is one of the measure of dispersion and is the avearage of a set of data.
According to the question, the magazine reports that the most common gas mileage was 24 mpg. This shows that reports have published several gas mileages for cars and truck and the average of this mileage is 24mpg
It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.
Learn more on mean here: brainly.com/question/14532771
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Answer:
Therefore you will have to wait 11 minutes.
Step-by-step explanation:
Find the number of minutes between 5:00am and 8:37am
60 mins in an hour.
8-5=3 hours
60x3=180+37=217 minutes
Divide 217 by 12 to see how many bus stops have already been made
217/12=18
18*12=216
217-216=1 minute
12-1=11 minutes
Hope this helps!
Answer:
3
Step-by-step explanation:
