Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
Answer:
3/5
Step-by-step explanation:
To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)
Answer:
3 1/3 gum balls per friend
Step-by-step explanation:
Packs of gum balls Pete has = 4
Each pack = 5 gum balls
Total gum balls Pete has = Number of packs of gum balls × Number of gum balls in each pack
= 4 × 5
= 20 gum balls
Pete gives the same number of gum balls to 6 friends.
Each friend gets = Total gum balls / number of friends
= 20 gum balls / 6 friends
= 3 2/6 gum balls per friend
= 3 1/3 gum balls per friend
Answer:
The correct answer is 135
Step-by-step explanation:
This is because her rate is 15 flowers per 5 minutes, and there is 45 minutes. Therefore, 5 minutes occurs 9 times in 45 minutes and fifteen flowers times 9 groups of five minutes is 135.