math graphing help?

Question

If anyone could help me solve this problem, I'd be very appreciative! My teacher did not go over it in class and I'm very clueless... Thank you!

Find a formula that expresses the fact that P(x,y) is a distance 10 away from the origin.

Answer 1

The locus of points 10 units from the origin is a circle with a radius of 10 units. And the equation of that circle (which is based on Pythagorean Theorem) is
x² + y² = r² where r is the radius. In this case
x² + y² = 100
Just 'cuz you may need it soon, the -general- equation of a circle of radius r whose center is at the point (h, k) is
(x-h)² + (y-k)² = r²

Doug

Answer 2

linear makes a line and nonlinear does no longer. as quickly as you graph an equation like that without extensive form in front of the y, graph the b. (y=mx+b) so for that reason -5. To graph that purely placed the dot on -5 on the y axis, or the only that is going up and down. then you definately could graph with the slope (or the m). for that reason 3, yet seem at it as a fraction, so 3/a million. purely with the aid of reality the extensive form is efficacious, bypass up 3 and over1 to the perfect. And make the dot there. attempt this 2 cases and you have gotten your line. This equation is obviously linear. as quickly as you're doing distinctive equations, if the slope(the m, and the extensive form in front of x) is unfavorable, bypass down somewhat of up or left somewhat of superb. do now no longer do the two in spite of the reality that. that could choose to make the slope useful. Like if the slope is -¾, you'll be able to bypass down 3 and to the perfect 4on the graph. From the y.