Answer:
(16, 30)
Step-by-step explanation:
First the equation of a circle is:
(x-h)^2 + (y-k)^2 = r^2, where (h,k) - the center.
We rewrite the equation and set them equal :
(x-h)^2 + (y-k)^2 - r^2 = x^2+y^2− 32x − 60y +1122=0
x^2 - 2hx + h^2 + y^2 - 2ky + k^2 - r^2 = x^2 + y^2 - 32x - 60y +1122 = 0
We solve for each coeffiecient meaning if the term on the LHS contains an x then its coefficient is the same as the one on the RHS containing the x or y.
-2hx = -32x => h = 16.
-2ky = -60y => k = 30. => the center is at (16, 30)
Answer:
a=11
Step-by-step explanation:
So, the line that (9a+6) and 75 are sharing is straight, meaning that it is 180 degrees. Also, (9a+6) and 75 are sharing the line. Even though we don't know there exact measurements, when know that by adding them together we will get 180 degrees.
1. (9a+6) + 75 = 180
2. 9a + 81 = 180
3. 9a = 99
4. a = 11
Hope this helped!
Answer: The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
We can find "b" substituting the slope and coordinates of the (4,3) into thte equation , and then solving for "b":
By definition, the line intersects the x-axis when "y" is zero.
Then, we need to substitute the y-intercept and into and then solve for "x" in order to find the x-intercept:
Knowing the x-intercept and the y-intercept, we can graph the line (The graph is attached)
Answer: 1 5/8 is equivalent to 1.625
Step-by-step explanation: