To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.
Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.
The equation of a circle is:
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the location of the center and r is the radius. So we need to find h, k, and r. The center is given as (5,-4) so h = 5 and k = -4:
(x-5)^2 + (y-(-4))^2 = r^2
(x-5)^2 + (y+4)^2 = r^2
So we need to find r. Use the distance formula to find the distance between (5,-4) and (-3,2):
r = [(5-(-3))^2+((-4)-2)^2]^1/2
r = [8^2 + (-6)^2]^1/2
r = [64 + 36]^1/2
r = 100^1/2
r= 10
The final equation is:
(x-5)^2 + (y+4)^2 = 10^2
Answer:
arc ADB = 270°
Step-by-step explanation:
Arc ADB is the remainder of the circle after subtracting 90° arc AB. Its measure is ...
ADB = 360° -90° = 270°
I believe that the answer would be C. because each triangle that is “broken up” in the hexagon is equilateral meaning that angle 1 and angle 3 would be congruent and equal to 60, and since angle 2 is half the measure of angle 1 it would be 30. Hope this helps!
It has been awhile since I worked with in qualities but I got the answer,
-1/3 < or equal to p < or equal to 2.
I multiplied the 5 in the middle of the equation with what's in parentheses to get 15p - 10, then I added 10 to both outer sides of the equation and got
-5 < or equal to 15p < or equal to 30.
Then lastly I divided 15 by -5 and 30!
I hope that's right.. I'm sorry if it isn't!
