Answer:
x=26
Step-by-step explanation:
3x +12 =90
subtract 12 from each side
3x=78
divide 3 from each side
x=26
Answer:
Area of the rhombus, A = 22.5 sq. ft.
Step-by-step explanation:
The area of a rhombus = a. b
where, a = side of the rhombus
and b = height of the rhombus.
Here, the side, a = 5 ft
Height, b = 4.5 ft.
Therefore, area, A = 5 X 4.5 sq. ft
⇒ A = 22.5 sq. ft which is the required answer.
Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
Step-by-step explanation:
A property where sum of any number and its inverse is equal to zero is called additive inverse property.
For example, 11.5 + (-11.5) = 0
Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.
Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
x⁴ - 8x² = 0
x⁴ - 8x² + 16 = 0 + 16
x⁴ - 4x² - 4x² + 16 = 16
x²(x²) - x²(4) - 4(x²) + 4(4) = 16
x²(x² - 4) - 4(x² - 4) = 16
(x² - 4)(x² - 4) = 16
(x² - 4)² = 16
The answer is B.
