Answer:
A = (0, -8)
Step-by-step explanation:
B = (A+C)/2 . . . . the midpoint is the average of the end points
A = 2B -C = 2(-3, -5) -(-6, -2) . . . solve for A, substitute point values
A = (0, -8)
Get the x variable on one side and the numbers another side.
9/10(x + 2/3) = 4 1/2
Distribute the 9/10 across the x and 2/3.
(9/10)x + 18/30 = 4 1/2
Simplify 18/30 to make our life easier.
(9/10)x + 3/5 = 4 1/2
Subtract 3/5 from each side of the equation.
(9/10)x = 3 9/10
Divide both sides by 9/10.
x = 4 1/3
Answer:
15/56
Step-by-step explanation:
We know that
applying the law of cosines
c²=a²+b²-2*a*b*cos C
in this problem
a=10 m
b=11 m
c=13 m
C=?
c²=a²+b²-2*a*b*cos C----> cos C=[a²+b²-c²]/[2*a*b]
cos C=[10²+11²-13²]/[2*10*11]----> cos C=0.2364
C=arc cos (0.2364)----> C=76.33°
the answer is
76.3°
Line segment
This is what I found out during class two days ago!