Circle p is tangent to the x-axis and the y-axis. if the coordinates of the center are (r, r), find the coordinates of the points of tangency. (0, r) and (r, 0) (r, r) and (0, 0) (0, ½r) and (½r, 0)

The y-axis has equation x=0. The point of tangency on the y-axis is on the line y=(something) through the center point of the circle, (r, r). Consequently, the (something) must match the y-coordinate of the circle center, r. That is, the point of tangency is the point of intersection of x=0 and y=r: (0, r).

The first selection is correct:

 (0, r) and (r, 0)

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb