Given
Endpoints of the diameter (5,2) and (-7,4)
Step One
Find the center
Center = (x2 + x1)/2 , (y2 + y1)/2
x2 = -7; x1 = 5; y2 = 4; y1 = 2
Center = (-7 + 5)/2 ; (4 + 2)/2;
Center = (-1 , 3)
Step Two
Find the radius squared using the distance formula. Use (5,2) as the second point. The other point is the center.
Distance squared = (5 - - 1)^2 + (2 - 3)^2
Distance squared = ( 6)^2 + (-1 )^2
Distance squared = 37
Step Three
State the circle's formula
(x - - 1 )^2 + (y - 3)^2 = 37
(x + 1)^2 + (y - 3)^2 = 37
0.20km is the answer.
Explanation: 1ft = 30.48cm
Answer:
C.
Step-by-step explanation:
If you know how much each class is selling tickets for and how much they've already raised then you take those two values and set them equal to each other.
<em>2.5t + 350 = 3t + 225</em>
To actually find the number of tickets each class would have to sell you would just solve for t.
It's the first choice above. The center of the circle of the first choice is (-2, 6). In order to get from there to the center, you have to go right 2 and down 6, which are your given translations. None of the other translations bring the given centers to the origin. For example, the center of the second circle is (1, -2). In order to get from there to the center you have to go left 1 and up 2, but the translations they give are left 2 and DOWN 2, which is incorrect if you want to get to the origin. The only correct one is the first one.
Answer: C.5
Rearranging the given data into ascending order, we get
3,3,4,4,5,6,7,
Total number of observations =7 which is odd
Hence, the 4
th
term is the median.
∴ Median =4
Hence, option (C) is the correct answer.
