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
Option B: The area of the trapezoid is 157.5 m²
Explanation:
We need to determine the area of the trapezoid.
The area of the trapezoid can be determined by the formula,

where h is the height, a and b are the base of the trapezoid.
From the figure, it is obvious that
,
and 
Substituting these values in the formula, we have,

Simplifying the terms, we have,

Multiplying the terms in the numerator, we have,

Dividing, we get,

Thus, the area of the trapezoid is 157.5 m²
Hence, Option B is the correct answer.
Bruce has a rope that is 21 feet long he needs to cut the rope into 1/5 long pieces.
The length of the rope = 21 feet
the length of each strip = 
We need to cut the rope 21 feet into
strips
To find the number of strips we divide 21 feet by the length of the strip
=
= 105
105 strips can Bruce cut from his rope.
Answer:
638
Step-by-step explanation:
its 638, not 639 because its above 638.5
Step 2 I believe. You are supposed to find the absolute value before adding