Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
Answer:7√3 + 3√7
Step-by-step explanation:
7√3 + √63
=> 7√3 + √(7×9)
=> 7√3 + (√7 × √9)
=> 7√3 + 3√7
Answer:
Does this help in any way?
Step-by-step explanation:
<span>The average length of a bike (including the length of both wheels) is about 68 inches.For finding the true answer we must follow the following convertion rule: 1 inch is equivalent to 0.02 yard, so 68 inches equal to 1.88 yards. Consequently, the value nearest 1.88 yards is 1.5 yards, so the answer is the choice A: 1.5 yards. </span>
