Answer:
z=2
Step-by-step explanation:
2z-6=2(2+2)-10 Distribute.
2z-6=4+4-10 Combine like terms.
2z-6=-2 Add 6 on both sides.
<u>+6 +6</u>
2z=4 Divide by 2 on both sides.
<u>/2 /2</u>
z=2
Hope this helps! Have a great day ^^
Given :
- A = {x: 2x² + 3x - 2 = 0 }
- B = {x : x² + 3x - 4 = 0 }
To find :
Solution :-
<u>The </u><u>first </u><u>set </u><u>is </u><u>,</u>
- A ={x : 2x² + 3x - 2 = 0}
<u>Solving</u><u> </u><u>the </u><u>Quadratic</u><u> equation</u><u> </u><u>,</u>
- 2x² + 3x - 2 = 0
- 2x² + 4x - x - 2 = 0
- 2x( x + 2) -1( x + 2 ) = 0
- (2x -1) ( x + 2) = 0
- x = 0.5 , -2
<u>Hence</u><u> </u><u>,</u>
<u>The </u><u>second</u><u> </u><u>set </u><u>is </u><u>,</u>
- B ={ x :x² + 3x - 4 = 0 }
<u>Solving</u><u> the</u><u> Quadratic</u><u> equation</u><u> </u><u>,</u>
- x² + 3x - 4 = 0
- x² + 4x - x - 4 = 0
- x( x + 4)-1 ( x +4) = 0
- (x + 4) ( x -1) = 0
- x = 1 , -4
<u>Hence</u><u> </u><u>,</u>
<u>Now </u><u>,</u>
- A U B = { 0.5 , 1 , 4 , -2}
- A Π B = {∅ }
Since AΠ B is a null set , hence ,
Answer:
A. Add the endpoints
C. Divide -12 by 2
Step-by-step explanation:
To find the midpoint of the vertical line segment with endpoints (0, 0) and (0, -12).
Step 1: Add the endpoints (y-coordinates)
0+-12=-12
Step 2: Divide -12 by 2
-12/2=-6
Therefore, the y-coordinate of the midpoint of a vertical line segment is -6.
Options A and C are correct.
Answer:
the selling price of the goods is ₹6,00,000
Step-by-step explanation:
The computation of the selling price of the goods are shown below:
As we know that
Selling price = Cost price + profit
= 5,00,000 + 5,00,000 × 0.20
= 5,00,000 + 1,00,000
= ₹6,00,000
Hence, the selling price of the goods is ₹6,00,000