At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Answer:
the distance from the center to the line is about 5.65, too far from a circle of radius 5.
Step-by-step explanation:
We can prove this by looking at the distance from the center of the circle to the line.
The distance from point (x, y) to line ax+by+c=0 is given by ...
d = |ax +by +c|/√(a^2 +b^2)
For the line ...
x -y -6 = 0
and the point (2, 4), the distance is ...
d = |2 -4 -6|/(1^2 +(-1)^2) = |-8|/√2 = 8/√2 ≈ 5.65685
This tells us that a circle with radius 5.65 or less will not intersect the line. A circle of radius 5 is smaller than that. A circle with radius 5 will not intersect the line y = x-6.
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.