Answer:
8
Step-by-step explanation:
If you add x to the left side of the equation you get positive 1/2x +3=7
you then would subtract 3 from 7 to get 4
this would leave you with 1/2x=4
if you divide 4 by 1/2 you get 8 as the answer.
Answer:
-3 1/3 , - 1 , -1/2 , 0 , 1 , 4 , 5 , 6 , 21/5
Circumscribed circle for a triangle is circle where the circumference would cut all the vertices in the triangle
the diagram already has arcs marked from point Y, with the aim of drawing a perpendicular bisector to line XY.
Therefore the next step is to place the compass on point X and draw two arcs which cross the arcs already drawn (second option is the correct answer)
The points at which the 2 arcs meet are connected to each other making a perpendicular bisector that would cut XY perpendicularly.
Next step is to place the compass at Z and draw 2 arcs between Z and Y points, similarly place the compass at Y and draw 2 arcs that would cut the arcs already drawn.
Then connect the two points where the arcs meet and thats the perpendicular bisector of ZY.
The point at which perpendicular bisectors of XY and YZ meet is known as the circumcenter. Place the compass on this point with the radius any of the three points X,Y or Z and draw the circle
Answer:The first one is 2.333333333
Step-by-step explanation:Simplifying
5(2 + -1j) + (2j + -3) = 0
(2 * 5 + -1j * 5) + (2j + -3) = 0
(10 + -5j) + (2j + -3) = 0
Reorder the terms:
10 + -5j + (-3 + 2j) = 0
Remove parenthesis around (-3 + 2j)
10 + -5j + -3 + 2j = 0
Reorder the terms:
10 + -3 + -5j + 2j = 0
Combine like terms: 10 + -3 = 7
7 + -5j + 2j = 0
Combine like terms: -5j + 2j = -3j
7 + -3j = 0
Solving
7 + -3j = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + -3j = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -3j = 0 + -7
-3j = 0 + -7
Combine like terms: 0 + -7 = -7
-3j = -7
Divide each side by '-3'.
j = 2.333333333
Simplifying
j = 2.333333333