Write an expression for the area of the shaded region and ex

Write an expression for the area of the shaded region and express it in factored form. (y - 2)^2 (y + 2)^2 (y + 2) (y - 2) y^2 + 4 List all numbers from the given set B that art members of the given Real Number subset. B = {7, Squareroot 6, -5, 0, 5/6, Squareroot 25, 0.5, 0.17} Rational numbers Squareroot 6, 5/6, 0.17 7, -5, 0, 5/6, Squareroot 25, 0.17, 0.5 7, 0, Squareroot 25 Squareroot 6, Squareroot 25 Determine whether the statement is true or false. -pi -pi False True Solve. The formula C = 5/9 (F - 32) expresses the relationship between Fahrenheit temperature, F, and Celsius temperature C. Use the formula to convert 68 degree F to its equivalent temperature on the Celsius scale. 65 degree C 56 degree C 20 degree C 4 degree C It is estimated that y, the number of items of a particular commodity (in millions) sold in the United States in year x, where x represents the number of years since 1990, is given by the formula y = 1.8x + 2.98. That is, x = 0 represents 1990, x = 1 represents 1991, and so on. According to the formula, how many items sold in 1999? 19.18 millions 2.98 millions 20.98 millions 43.02 millions Solve. Express the result in scientific notation. If necessary, round the decimal factor to two decimal places. In a state with a population of 3,000,000 people, the average, citizen spends $6,000 on housing each year. What is the total spent on housing for the state? $1.8 times 10^9 $18 times 10^11 $1.8 times 10^10 $18 times 10^10 State the name of the property illustrated. (9 + 7) + (3 + 19) - (3 + 19) + (9 + 7) Distributive property of multiplication over Associative property of addition Inverse property of addition Commutative property of addition

Solution

Area of larger square = y^2

Area of smaller square = 2^2 = 4

Shaded area = Area of larger square - Area of smaller square

= y^2 - 4

On factorisation we get

= (y+2)(y -2)

15 ) Rational numbers are of the form x/y

From the given set : 7, -5, sqrt25, 0 , 5/6 , 0.5 bar , 0.17 are rational numbers

Option B