Answer:
GF = 16.25
Step-by-step explanation:
If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.
Step 1
We find x
AG = GC
6x + 1 =9x - 11
Collect like terms
1 + 11 = 9x - 6x
12 = 3x
x = 12/3
x = 4
Step 2
We solve for AG
GC = 9x + 11
GC = 9(4) + 11
GC = 36 + 11
GC = 25
Step 3
Solving for GF, using Pythagoras Theorem
GF² + BG² = GC²
GF² = GC² - BG²
GF = √GC² - BG²
GF = √25² - 19²
GF = √264
GF = 16.248076809
GF = 16.25
Answer
6ac−2b−2
Step-by-step explanation:
Let's simplify step-by-step.
4ac+3−2b+2ac−5
=4ac+3+−2b+2ac+−5
Combine Like Terms:
=4ac+3+−2b+2ac+−5
=(4ac+2ac)+(−2b)+(3+−5)
=6ac+−2b+−2
9514 1404 393
Answer:
Step-by-step explanation:
Add 9 to both sides of the equation, and divide by the coefficient of B.
T = BA -9
T +9 = BA
(T +9)/A = B
We can rewrite that with B on the left:
B = (T +9)/A
