Equation of the circle:
Step-by-step explanation:
The equation of a circle is given by
where
are the coordinates of the center of the circle
r is the radius of the circle
For the circle in this problem, we know that:
(5,4) are the coordinates of the center
We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:
Therefore, the equation of the circle is:
Learn more about circles:
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Answer:
a) (11/7, 9/7)
b) There's no point of intersection
Step-by-step explanation:
a) x - 2y + 1 = 0
2x + 3y - 7 = 0
To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)
Now we substitute x in the second equation:
Now we substitute y in our first equation.
.
The point of intersection is (11/7, 9/7)
b) x -2y +11 =0
-x + 2y - 13 =0
We are going to follow the same procedure:
Since this system of equations doesn't have a solution, the system has no point of intersection.
Answer:
A= 3441
P = 260
Step-by-step explanation:
Area = l x w
93 x 37 = =3441
Perimeter = 2l + 2w
2(93) + 2(37) = 260
Answer:
The mean would be 14.4 hours.
Step-by-step explanation:
In order to find the mean, or average, of the numbers, you would add all the numbers together.
17 + 15 +14 + 14 + 12 which equals 72
Then, you take the total which is 72, and divide it by how many numbers you added together which is 5.
72/5 = 14.4
Hi there
the dividend per share of stock
15,000÷10,000
=1.5 per share
if you owned 50 shares
1.5×50
=75
Hope it helps
