Subtract the sine term and take the square root.

Given the endpoints of our diameter, we can use the distance formula to find the distance between the points.
Distance Formula:

(
and
are the x-values of the coordinates and
and
are the y-values of the coordinates)
Inserting our values into the distance formula we can find the length of the diameter:



The diameter of our circle is 6, or choice C.
Answer and Step-by-step explanation:
1) If you graph the lines, you will get the lines in the first attachment. You will see that the intersection point is (3, 5), which is the solution to that system.
2) First, let's convert both of these into slope-intercept form so that they're easier to graph.
x - 3y = 2
x = 3y + 2
3y = x - 2
y = 
AND
-3x + 9y = -6
9y = 3x - 6
y = 
We see that these two lines are exactly the same, which means that no matter what coordinate works for one, it will work for the other. In other words, there are infinitely many solutions.
And, if you graph these lines, you will get the graph in the second attachment, where they are the same line.
Hope this helps!
Answer:
Step-by-step explanation:
6 < 2 1/2 + 1 1/3R
Answer:
-2
Step-by-step explanation:
Using y=mx+c
ax+2y=10
Put y as subject of formula
2y= 10-ax
2y= -ax+10
using point (3,2)
2y= -ax+10
2(3)= -a(2)+10
6= -2a+10
Put a as subject of formula
-2a=10-6
-2a=4
a= 4/-2
a= -2