Find the area enclosed by the given curves.Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the line  above left by y = x + 4, and above right by y = - x2 + 10.

A.
B.
C.
D. 15


Answer: C

Mathematics

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?Which of the following best defines the concept of the Least Common Multiple of two or more numbers? ?

A. ?The sum of all the factors of two or more numbers. B. ?The union of all the common prime factors and non-common prime factors of two or more numbers. C. ?LCM(a,b) = c  means a divides c or b divides c. D. ?LCM(a,b,c) = d  means d divides a, d divides b, and d divides c. E. ?LCM(a,b,c) = d  means a divides d, b divides d, and c divides d. F. ?b and e

Mathematics

Find the domain of the rational expression.f(x) = 

A. {x|x is a real number and x ? 0} B. {x|x is a real number and x ? 5, x ? -9} C. {x|x is a real number and x ? 8, x ? -8} D. {x|x is a real number and x ? -5, x ? -9}

Mathematics

A right triangle has legs a and b with hypotenuse c. Find the length of the missing side. Round the answer to three decimal places, if necessary.b = 3, c = 

A. 5.745 B. 4.873 C. 23.812 D. 3.873

Mathematics

Translate the following statement to an expression or equation. Use x to represent the unknown value. Do not simplify or solve.The quotient of a number and 3, minus the product of 9 and the number is equal to the number plus 12.

A.  9-  = x + 12
B.  - 9= x + 12
C.  = x + 12
D.  + 9= x - 12

Mathematics