Which of the following is an irrational number?
Answer(s): E
An irrational number is a number that cannot be expressed as a repeating or terminating decimal.Can not be expressed as a repeating or terminating decimal, therefore, is an irrational number.
In the diagram above, the length of a side of square ABCD is four units. What is the area of the shaded region?
Answer(s): B
The area of a square is equal toS2, where s is the length of a side of the square. The area ofABCDis42= 16 square units. The area of a circle is equal to r2, where r is the radius of the circle. The diameter of the circle is four units. The radius of the circle is two square units. The area ofthe circle is equal to (2)2= 4. The shaded area is equal to one-fourth of the difference between the area of the square and the area of the circle:1/4(16 4)= 4 .
The value of d is increased 50%, then decreased 50%. Compared to its original value, the value of d is now
Answer(s): A
To increased by 50%, multiply d by 1.5:d= 1.5d. To find 50% of 1.5d, multiply 1.5dby 0.5: (1.5d)(0.5) = 0.75d. Compared to its original value, dis now 75% of what it was. The value of dis now 25% smaller.
Which of the following expressions is undefined when x = -2?
An expression is undefined when a denominator of the expression is equal to zero. When
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