Answer:
x = -3 ±3sqrt(3)
Step-by-step explanation:
3(x+3)^2-81=0
Add 81 to each side
3(x+3)^2=81
Divide each side by 3
3/3(x+3)^2=81/3
(x+3)^2=27
Take the square root of each side
sqrt ((x+3)^2)=±sqrt(27)
x+3 =±sqrt(9*3)
x+3 =±sqrt(9)*sqrt(3)
x+3 =±3sqrt(3)
Subtract 3 from each side
x = -3 ±3sqrt(3)
Answer:
m∠CAF is 28°
Step-by-step explanation:
The given parameters are;
EG = 3, EB = 8, A_F = 7, m∠EBG = 23°, ∠EGF 32°, and m∠CAE = 51°
From the diagram, we have;
m∠EBG = m∠EAD ; 
Given
Therefore, m∠EAD = 23°
m∠CAE = m∠CAF + m∠EAD Angle addition postulate
Therefore, we have;
51° = m∠CAF + 23°
m∠CAF = 51° - 23°
m∠CAF = 28°
Answer:
One of the two conditions for equilibrium states that the sum of the torques around every possible center of rotation must be equal to zero. Does this mean that when you analyze a body in equilibrium
Step-by-step explanation:
One of the two conditions for equilibrium states that the sum of the torques around every possible center of rotation must be equal to zero. Does this mean that when you analyze a body in equilibrium
2 (-18 - 6) = -48
By order of operations (PEDMAS) the parentheses are calculated first.
Answer:
All real numbers are solutions.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−3(m+8)=−3m−24
(−3)(m)+(−3)(8)=−3m+−24(Distribute)
−3m+−24=−3m+−24
−3m−24=−3m−24
Step 2: Add 3m to both sides.
−3m−24+3m=−3m−24+3m
−24=−24
Step 3: Add 24 to both sides.
−24+24=−24+24
0=0
Answer:
All real numbers are solutions.
