Equation is 2(3x+24)=9x+18
Answer is x=10
Bisector means it cuts it in half so ABD is the same as DBC. The whole angle is 9x+18 which is the same as doubling 3x+24 since thats half of if hence the equation 2(3x+24)=9x+18
To solve for x you have to distribute 2(3x+24) by multiplying 2 to 3x and 24
New equation is 6x+48=9x+18
Subtract 6x both sides
48=3x+18
Subtract 18 both sides
30=3x
Divide both sides by 3
10=x
Part A:
1) 16
2) -25
3) 9
4) -7
I'm too lazy to do the rest, just pay attention in class next time
Here is your answer
Convert the mixed fraction into into improper fraction.
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HOPE IT IS USEFUL
Answer:
(x − 4)² + (y − 3)² = 25
Step-by-step explanation:
The equation of a circle is:
(x − h)² + (y − k)² = r²
Given three points on the circle, we can write three equations:
(1 − h)² + (7 − k)² = r²
(8 − h)² + (6 − k)² = r²
(7 − h)² + (-1 − k)² = r²
Expanding:
1 − 2h + h² + 49 − 14k + k² = r²
64 − 16h + h² + 36 − 12k + k² = r²
49 − 14h + h² + 1 + 2k + k² = r²
Simplifying:
50 − 2h + h² − 14k + k² = r²
100 − 16h + h² − 12k + k² = r²
50 − 14h + h² + 2k + k² = r²
Subtracting the first equation from the second and third equations:
50 − 14h + 2k = 0
-12h + 16k = 0
Solving the system of equations, first reduce:
25 − 7h + k = 0
-3h + 4k = 0
Solve with substitution or elimination. Using substitution, solve for k in the first equation and substitute into the second.
k = 7h − 25
-3h + 4(7h − 25) = 0
-3h + 28h − 100 = 0
25h = 100
h = 4
k = 7h −25
k = 7(4) − 25
k = 3
Now plug these into any of the original three equations to find r.
(1 − h)² + (7 − k)² = r²
(1 − 4)² + (7 − 3)² = r²
9 + 16 = r²
25 = r²
The equation of the circle is:
(x − 4)² + (y − 3)² = 25
Graph: desmos.com/calculator/ctoljeqhnp
Answer:
-20-15=-35
Step-by-step explanation:
I think this answers your question, sorry if I'm wrong!
