Start with the equation of a circle whose center is at (h,k) and whose radius is r:
(x-h)^2 + (y-k)^2 = r^2
Substituting the given coordinates of the center:
(x-5)^2 + (y-[-5])^2 = r^2, or (x-5)^2 + (y+5)^2 = r^2
Substituding the given coordinates of a point (6,-2) on the circle:
(6-5)^2 + (-2+5)^2 = r^2
Simplifying:
1^2 + 3^2 = r^2, or 1 + 9 = r^2, or 10= r^2. Then r = sqrt(10).
Answer:
6
Step-by-step explanation:
3+3 = 6
<span>Because there are 20 coins plus four bars = 24 items to choose. You want to choose where to put the four bars, thus C(24,4). There are four bars, not five. Note that four bars divide the 20 coins into five sections. Five bars would divide it into six, but we only have five different kinds of coins to choose from.</span>
Answer:
C
Step-by-step explanation:
That means that for x=3 the y has a value of 1.
Question 1:
Conclusion: ∠DAY + ∠YAK = 180°
Justification: definition of linear pair
Question 2:
Conclusion: Point U is the midpoint of RN
Justification: RU=UN, definition of midpoint
Question 4:
Conclusion: ∠3 = ∠7
Justification: definition of alternate interior angles
Question 5:
Conclusion: ∠ABD = ∠DBC
Justification: definition of bisector
Question 6:
Conclusion: ∠2 and ∠3 are supplementary angles
Justification: definition of supplementary angles
Sorry question 3, don't know what it's trying to say