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anonymous
 4 years ago
A diameter of a circle has endpoints at (4, 6) and the origin. Which point is also on the circle?
A. (–1, 2) B. (6, 3) C. (5, 0) D. (–1, 1) E. NOTA
Please explain.
anonymous
 4 years ago
A diameter of a circle has endpoints at (4, 6) and the origin. Which point is also on the circle? A. (–1, 2) B. (6, 3) C. (5, 0) D. (–1, 1) E. NOTA Please explain.

This Question is Closed

campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.0find the midpoint x = (4 + 0)/2 y = (6 + 0)/2 that will give the centre

campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.0then the equation is (x  h)^2 + (yk)^2 = r^2 in this case r^2 = 52 (h, k) is the centre... sub in each point... to test

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0answer is D (1,1) please can you show more steps

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4dw:1328772724764:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Please explain and show me the steps

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4@Sammy  I lost power but have returned to explain the problem.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0after getting midpoint what to do

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you so much Directrix.

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4The midpoint of the diameter is the center of the circle. Onehalf the length of the diameter is the radius of the circle.. We need that for the general equation of the circle: (x  h)^2 + (yk)^2 = r^2 and then ...

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4From (0,0) to (2,3) is the length we need. The distance formula gives r = Square root[ ( 2  0)^2 + 3  0)^2] r = Square Root [ 4 + 9] = Square root of 13. And, then ...

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4r = √ 13 and (h,k) = (2,3)

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4(x  h)^2 + (yk)^2 = r^2 (x  2) ^2 + (y  3) ^ 2 = (√ 13) ^2 (x  2) ^2 + (y  3) ^ 2 Option checking time now ...

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4(x  2) ^2 + (y  3) ^ 2 I am testing the D option D. (–1, 1) In the circle equation, substitute 1 for x and 1 for y and see if the left side = the right side of 13.

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4(x  2) ^2 + (y  3) ^ 2 ( (1 2)^2 + (1  3) ^2 = (3) ^2 + (2) ^2 = 9 + 4 = 13. So, the point (1,1) is on the circle.

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4Suppose we had tested option A. (–1, 2). Then, ( (1 2) ^2 + ( 2  3) ^ 2 = (3)^2 + (1) ^2 = 9 + 1 = 10 which is not equal to 13. So, the point (1,2) is NOT on the circle.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0( (1 2)^2 + (1  3) ^2 = (3) ^2 + (2) ^2 = 9 + 4 = 13. but it's not sqrt13

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4Remember the formula (x  2) ^2 + (y  3) ^ 2 = (√ 13) ^2 (x  2) ^2 + (y  3) ^ 2 = (√ 13) ^2) The (√ 13) ^2 = 13. We are testing against 13.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you so much for explaining and your time

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4Any time. Glad to help.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Can I ask one more problem?

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4Is it already posted?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Twice an integer increased by fourteen is less than 5. What is the greatest solution? Please explain. it's a multiple choice A. 5 B.4 c.4.5 D. 4.6 E.NOTA

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I already posted.but I didn't get the correct answer

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4Let x = the integer Then, 2x + 14 < 5

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.42x + 14 < 5 2x < 5  14 2x < 9

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4The answer is an integer. Remember that. 2x < 9 x <  4.5 Option time.

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4What is the biggest integer LESS than  4.5?

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4dw:1328774992369:dw

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4The biggest integer less than 4.5 is 5.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you so much. I didn't think like that.

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4If the question had ended up as x > 4.5, we would select the first integer to the right of 4.5 which would be 4. On a number line, always remember that the greater of two numbers lies to the right of the other.

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4"I didn't think like that." The simplest things can be the most confusing.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you so much for your help!

Directrix
 4 years ago
Best ResponseYou've already chosen the best response.4You are welcome. Any time.
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