Answer:
b
Step-by-step explanation:
Proof for the equations are given below.
Step-by-step explanation:
- Step 1: The diagram is made up of 1 square and 4 rectangles, and the whole figure is a square. So the area of the larger square (figure) must be equal to the sum of the areas of the 4 rectangles and 1 square. Find the area of the figure or the larger square.
Area of a square = (side length)²
Here, the length of the side of the larger square = a + b
⇒ Area of the square = (a + b)²
- Step 2: Find the sum of the areas of the 1 square and 4 rectangles.
Here, the side of the square = a - b
⇒ Area of the square (in the center) = (a - b)²
Area of a rectangle = length × width
Here, length = a and width = b
⇒ Area of the 4 rectangles = 4 × a × b = 4ab
∴ Sum of the areas = (a - b)² + 4ab
Now, both these areas are the same.
⇒ (a - b)² + 4ab = (a + b)²
- Step 3: Expand the above equation.
Left Hand Side = (a - b)² + 4ab = a² - 2ab + b² + 4ab = a² + 2ab + b²
= (a + b)²
= Right Hand Side of the equation
Answer: The volume of given substance is 
.
Step-by-step explanation:
Given: Density = 10.7 
Mass = 23.54 g
Density of a substance is the mass of substance divided by its volume.
Mathematically, 
Substitute the values into above formula to calculate volume as follows.
Thus, we can conclude that the volume of given substance is .
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[ add 9x and 5 on both sides ]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
2 x B + 4 = -8
-4 -4
2 x B = -12
divide by 2 on both sides
B = -6
