Stand form of a circle is (x-h)²+(y-k)²=r², (h,k) being the coordinates for the center of the circle, r is the radius.
use the given three points to find the three unknown constants h, k, and r
(3-h)²+(1-k)²=r²
(-2-h)²+(6-k)²=r²
(-5-h)²+(-3-k)²=r²
expand these three equations:
9-6h+h²+1-2k+k²=r²
4+4h+h²+36-12k+k²=r²
25+10h+h²+9+6k+k²=r²
subtract equation 1 from equation 2, you get: 10h-10k=-30, h-k=-3
subtract equation 2 from equation 3, you get: 6h+18k=6, h+3k=1
subtract one form the other: 4k=4, k=1
h=1-3k=-2
find r²: (3+2)²+(1-1)²=r², (r=5)
so the equation is (x+2)²+(y-1)²=5²
<span>Total surface area of Prism = Lateral surface area + area of top and bottom
.......................................= Perimeter of base * height + 2* area of base (as top and bottom same)
Tot. surface area of Prism = P*h + 2B ( where B is area of base, and P is perimeter h is height)
so what is hP -----------> lateral surface area</span>
Answer:
i think this is how you do it, sorry for the bad quality, my camra is sorta broken on my computer
Step-by-step explanation:
Answer:
a=40. b=140. c= 40
Step-by-step explanation:
b is congruent To 140 because of the vertical angles postulate that states two angles vertical from one another are congruent.
a is 40 because it is Supplementary to b Which means that the sum of a and b must add up to 180.
c is Congruent to a due to the vertical angles postulate
