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
Answer: Vu is 15 years old now.
Step-by-step explanation:
Let present age of WU be x.
Then, the present age of Vu = 3x
Also, After 25 years
Age of Wu = x+25
According to the question:
Present age of Vu = 3(5) = 15
Hence, Vu is 15 years old now.
Answer:
28 degrees
Step-by-step explanation:
because it looks like angle x and the 10 degree angle are vertical to the 38 degree angle so it would be 38-10=28 degrees.
Answer:
soln,
price of textbook = $40
tax% = 10%
now,
tax amount = 10% of $40
= 10\100*40
= 10*4/10
= 40/10
= $4.
again,
final price = cost of textbook+tax
=$40+$4
=$44.
Step-by-step explanation:
so the total price of a Textbook is $40 which is 100% and the tax is 10% so you need to find tax from the price of the textbook which is 10% of the price of the textbook then add the price of the textbook with the tax amount which is the final cost .
Answer:
Parallel lines
Step-by-step explanation:
Line BC:
Line AD:
Adding both equations, in this case, gives us the point at which the lines intersect:
Since zero will never equal fourteen, the equation above means that lines BC and AD will never intersect. When two lines have no point in common, they are said to be parallel lines.
