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
A) Now look, in the year 2000, the population is 118,000
In the year 2006 is 138,000
To find the percent change |Original Amt - New Amt| -------------------------------- x100
Original Amt
So for this question you would do 118,00 - 138,000 (ignore the negativesss)
and you get -20,000 (ignore the negatives) and then you get 20,000
Now, you have to do 20,000 divided by 118,000 x 100
20,000 divided by 118,000 and you get 0.169491525
Now you have to multiply 0.169491525 by 100
0.169491525 x 100 = 16.9491525
Round this and you get a 16.9% change.
b) To predict the population in 2012 you will have to do 138,000 + 16.9%
To calculate this you have to do this:
138,000 x 0.169 = 23322
Now add 23,322, to 138,000 and you get 161,322.
A) 16.9%
B) 161,322
hope this helped :)
Answer:
a) x = 4 cm
Step-by-step explanation:
x + 2x + 2x = 20 cm
5x = 20
x = 4 cm
Answer:
136=x
Step-by-step explanation:
When an angle is shown, the one opposite of it is equal to the forst equation. The bottom angles are equal to 360ñ so if you take 46x2=92. Subtract 92 by 360 to get 268. Divide it by 2 to get one of the bigger angles, which is 134 degrees. And as for the top, one angle on the bottom is equal to the same spot on the top. so, 136=x
18 I’m pretty sure that is the answer that
U want
