36.9. Just input the number in the equation and you get 4.5x18.2=36.9 as the volume
Answer:
x=-0.544727
x=2.294727
Step-by-step explanation:
Given quadratic equation to solve:
To solve, use the quadratic formula
x= -b ± b² - 4ac / 2a
Substitute your values for a, b, & c and solve
x= -7 ± 7² - 4·(-4)·5 / 2·(-4)
x= -7 ± 49 - -80/-8
x= -7 ± 129/-8
Then, reduce the problem
x= -7/-8 ± 129/-8
x=-0.544727
x=2.294727
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
-2 (Rise over run) goes up 2 and over 1 and the line is going down
