The GCF of 14 and 35 is 7.
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
There are 10 juice boxes in the cooler altogether.
2 of them are grape.
The first time Jill pulls one out with her eyes closed,
the probability that it's a grape is
2 / 10 .
If that try is successful, then there are 9 boxes left in the cooler,
and one of them is grape.
If she already has one grape, and reaches in again with her eyes
closed, the probability of pulling out the second grape is
1 / 9 .
The probability of both events happening in two tries is
(2/10) x (1/9) = 2/90 = 1/45 = (2 and 2/9) percent .
Answer:
amount of water: 7, 14, 21, 28, 35
time : 1,2,3,4,5